Time bar (total: 6.2s)
1× | search |
Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
---|---|---|---|---|---|---|---|
0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
50% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
50% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
75% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
75% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
87.5% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
87.5% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
93.8% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
93.8% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
96.9% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
96.9% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 34 to 23 computations (32.4% saved)
1.5s | 8 256× | 0 | valid |
ival-mult
: 308.0ms (25.2% of total)ival-log1p
: 253.0ms (20.7% of total)ival-<=
: 228.0ms (18.6% of total)ival-exp
: 219.0ms (17.9% of total)ival-div
: 72.0ms (5.9% of total)ival-sub
: 47.0ms (3.8% of total)ival-neg
: 39.0ms (3.2% of total)ival-and
: 29.0ms (2.4% of total)exact
: 24.0ms (2% of total)ival-assert
: 4.0ms (0.3% of total)Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
---|---|---|---|---|---|
184 | 6 | (4.037423844617048 0.0011930598453923607) | 9 | (2.8617593203306275 0.00472848347179761) | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
2 | 0 | - | 1 | (96.91118311514265 0.5022213999263655) | (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))) |
1 | 0 | - | 1 | (72.51570417755863 0.9320709671056662) | (exp.f64 (*.f64 n (log1p.f64 x))) |
0 | 0 | - | 0 | - | (log1p.f64 (neg.f64 x)) |
0 | 0 | - | 0 | - | n |
0 | 0 | - | 0 | - | (log1p.f64 x) |
0 | 0 | - | 0 | - | #s(literal 2 binary64) |
0 | 0 | - | 0 | - | (*.f64 n (log1p.f64 x)) |
0 | 0 | - | 0 | - | (*.f64 n (log1p.f64 (neg.f64 x))) |
0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
0 | 0 | - | 0 | - | x |
0 | 0 | - | 0 | - | (neg.f64 x) |
Operator | Subexpression | Explanation | Count | |
---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) | cancellation | 181 | 16 |
exp.f64 | (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))) | sensitivity | 1 | 2 |
Predicted + | Predicted - | |
---|---|---|
+ | 176 | 9 |
- | 6 | 65 |
Predicted + | Predicted Maybe | Predicted - | |
---|---|---|---|
+ | 176 | 9 | 0 |
- | 6 | 9 | 56 |
number | freq |
---|---|
0 | 74 |
1 | 182 |
Predicted + | Predicted Maybe | Predicted - | |
---|---|---|---|
+ | 1 | 0 | 0 |
- | 0 | 0 | 0 |
296.0ms | 512× | 0 | valid |
Compiled 170 to 40 computations (76.5% saved)
ival-log1p
: 230.0ms (89.2% of total)ival-exp
: 10.0ms (3.9% of total)ival-mult
: 7.0ms (2.7% of total)ival-div
: 4.0ms (1.6% of total)ival-sub
: 3.0ms (1.2% of total)ival-neg
: 3.0ms (1.2% of total)ival-true
: 1.0ms (0.4% of total)ival-assert
: 0.0ms (0% of total)exact
: 0.0ms (0% of total)1× | egg-herbie |
Useful iterations: 1 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 37 | 89 |
1 | 101 | 69 |
2 | 215 | 69 |
3 | 499 | 69 |
4 | 1012 | 69 |
5 | 1422 | 69 |
6 | 1796 | 69 |
7 | 2030 | 69 |
8 | 2168 | 69 |
9 | 2273 | 69 |
10 | 2379 | 69 |
11 | 2423 | 69 |
12 | 2453 | 69 |
13 | 2497 | 69 |
14 | 2557 | 69 |
15 | 2581 | 69 |
16 | 2589 | 69 |
0 | 12 | 14 |
0 | 24 | 14 |
1 | 42 | 13 |
2 | 58 | 13 |
3 | 78 | 13 |
4 | 108 | 13 |
5 | 140 | 13 |
6 | 203 | 13 |
7 | 271 | 13 |
8 | 364 | 13 |
9 | 435 | 13 |
10 | 469 | 13 |
0 | 469 | 13 |
1× | iter limit |
1× | saturated |
1× | iter limit |
1× | saturated |
Inputs |
---|
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
Outputs |
---|
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(negabs x)
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
Status | Accuracy | Program |
---|---|---|
▶ | 81.0% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
Compiled 14 to 12 computations (14.3% saved)
1× | egg-herbie |
Found 4 expressions of interest:
New | Metric | Score | Program |
---|---|---|---|
cost-diff | 0 | (exp.f64 (*.f64 n (log1p.f64 x))) | |
cost-diff | 0 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) | |
cost-diff | 0 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) | |
cost-diff | 1 | (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))) |
Useful iterations: 1 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 12 | 56 |
0 | 24 | 56 |
1 | 42 | 53 |
2 | 58 | 53 |
3 | 78 | 53 |
4 | 108 | 53 |
5 | 140 | 53 |
6 | 203 | 53 |
7 | 271 | 53 |
8 | 364 | 53 |
9 | 435 | 53 |
10 | 469 | 53 |
0 | 469 | 53 |
1× | iter limit |
1× | saturated |
1× | iter limit |
Inputs |
---|
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(*.f64 n (log1p.f64 x)) |
n |
(log1p.f64 x) |
x |
(exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))) |
(*.f64 n (log1p.f64 (neg.f64 x))) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
Outputs |
---|
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
(-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(pow.f64 (exp.f64 n) (log1p.f64 x)) |
(*.f64 n (log1p.f64 x)) |
(*.f64 (log1p.f64 x) n) |
n |
(log1p.f64 x) |
x |
(exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) n) |
(*.f64 n (log1p.f64 (neg.f64 x))) |
(*.f64 (log1p.f64 (neg.f64 x)) n) |
(log1p.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
New | Metric | Score | Program |
---|---|---|---|
accuracy | 0.13468378551488983 | (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))) | |
accuracy | 0.2421875 | (*.f64 n (log1p.f64 (neg.f64 x))) | |
accuracy | 0.2734375 | (*.f64 n (log1p.f64 x)) | |
accuracy | 12.031347641860567 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
29.0ms | 256× | 0 | valid |
Compiled 78 to 14 computations (82.1% saved)
ival-log1p
: 6.0ms (31.2% of total)ival-exp
: 5.0ms (26% of total)ival-mult
: 4.0ms (20.8% of total)ival-div
: 2.0ms (10.4% of total)ival-sub
: 1.0ms (5.2% of total)ival-neg
: 1.0ms (5.2% of total)ival-assert
: 0.0ms (0% of total)ival-true
: 0.0ms (0% of total)exact
: 0.0ms (0% of total)Inputs |
---|
(exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(*.f64 n (log1p.f64 x)) |
(*.f64 n (log1p.f64 (neg.f64 x))) |
Outputs |
---|
1 |
(+ 1 (* n (log (- 1 x)))) |
(+ 1 (* n (+ (log (- 1 x)) (* 1/2 (* n (pow (log (- 1 x)) 2)))))) |
(+ 1 (* n (+ (log (- 1 x)) (* n (+ (* 1/6 (* n (pow (log (- 1 x)) 3))) (* 1/2 (pow (log (- 1 x)) 2))))))) |
(* 1/2 (* n (- (log (+ 1 x)) (log (- 1 x))))) |
(* n (+ (* 1/2 (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2))))) (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))))) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))) (* n (+ (* 1/2 (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2)))))))) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))) (* n (+ (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2)))) (* n (+ (* 1/2 (* n (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log (- 1 x)) 4))))) (* 1/2 (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3)))))))))) |
(* n (- (log (+ 1 x)) (log (- 1 x)))) |
(* n (- (+ (log (+ 1 x)) (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2))))) (log (- 1 x)))) |
(* n (- (+ (log (+ 1 x)) (* n (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (pow (log (- 1 x)) 2))))) (log (- 1 x)))) |
(* n (- (+ (log (+ 1 x)) (* n (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (+ (* 1/6 (pow (log (+ 1 x)) 3)) (* n (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log (- 1 x)) 4))))) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (pow (log (- 1 x)) 2))))) (log (- 1 x)))) |
(+ 1 (* n (log (+ 1 x)))) |
(+ 1 (* n (+ (log (+ 1 x)) (* 1/2 (* n (pow (log (+ 1 x)) 2)))))) |
(+ 1 (* n (+ (log (+ 1 x)) (* n (+ (* 1/6 (* n (pow (log (+ 1 x)) 3))) (* 1/2 (pow (log (+ 1 x)) 2))))))) |
(* n (log (+ 1 x))) |
(* n (log (- 1 x))) |
(pow (- 1 x) n) |
(* 1/2 (- (pow (+ 1 x) n) (pow (- 1 x) n))) |
(- (pow (+ 1 x) n) (pow (- 1 x) n)) |
(pow (+ 1 x) n) |
(+ 1 (* -1 (* n x))) |
(+ 1 (* x (+ (* -1 n) (* x (+ (* -1/2 n) (* 1/2 (pow n 2))))))) |
(+ 1 (* x (+ (* -1 n) (* x (+ (* -1/2 n) (+ (* 1/2 (pow n 2)) (* x (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))))))))) |
(* 1/2 (* x (- n (* -1 n)))) |
(* x (+ (* 1/2 (* (pow x 2) (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))))) (* 1/2 (- n (* -1 n))))) |
(* x (+ (* 1/2 (- n (* -1 n))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (+ (* -1/4 (pow n 2)) (+ (* -1/6 (pow n 2)) (+ (* -1/12 (pow n 4)) (+ (* 1/120 (pow n 5)) (+ (* 1/8 (pow n 3)) (+ (* 1/6 (pow n 3)) (* 1/5 n))))))) (+ (* -1/5 n) (+ (* -1/6 (pow n 3)) (+ (* -1/8 (pow n 3)) (+ (* -1/120 (pow n 5)) (+ (* 1/12 (pow n 4)) (+ (* 1/6 (pow n 2)) (* 1/4 (pow n 2))))))))))) (* 1/2 (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2)))))))))) |
(* x (+ (* 1/2 (- n (* -1 n))) (* (pow x 2) (+ (* 1/2 (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2)))))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (+ (* -1/6 (pow n 2)) (+ (* -1/10 (pow n 2)) (+ (* -1/12 (pow n 2)) (+ (* -1/12 (pow n 4)) (+ (* -1/24 (pow n 4)) (+ (* -1/48 (pow n 4)) (+ (* -1/240 (pow n 6)) (+ (* 1/5040 (pow n 7)) (+ (* 1/72 (pow n 5)) (+ (* 1/48 (pow n 5)) (+ (* 1/24 (pow n 3)) (+ (* 1/18 (pow n 3)) (+ (* 1/10 (pow n 3)) (+ (* 1/8 (pow n 3)) (* 1/7 n))))))))))))))) (+ (* -1/7 n) (+ (* -1/8 (pow n 3)) (+ (* -1/10 (pow n 3)) (+ (* -1/18 (pow n 3)) (+ (* -1/24 (pow n 3)) (+ (* -1/48 (pow n 5)) (+ (* -1/72 (pow n 5)) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* 1/48 (pow n 4)) (+ (* 1/24 (pow n 4)) (+ (* 1/12 (pow n 2)) (+ (* 1/12 (pow n 4)) (+ (* 1/10 (pow n 2)) (* 1/6 (pow n 2))))))))))))))))))) (* 1/2 (- (+ (* -1/4 (pow n 2)) (+ (* -1/6 (pow n 2)) (+ (* -1/12 (pow n 4)) (+ (* 1/120 (pow n 5)) (+ (* 1/8 (pow n 3)) (+ (* 1/6 (pow n 3)) (* 1/5 n))))))) (+ (* -1/5 n) (+ (* -1/6 (pow n 3)) (+ (* -1/8 (pow n 3)) (+ (* -1/120 (pow n 5)) (+ (* 1/12 (pow n 4)) (+ (* 1/6 (pow n 2)) (* 1/4 (pow n 2)))))))))))))))) |
(* x (- n (* -1 n))) |
(* x (- (+ n (* (pow x 2) (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))))) (* -1 n))) |
(* x (- (+ n (* (pow x 2) (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (+ (* 1/3 n) (* (pow x 2) (- (+ (* -1/4 (pow n 2)) (+ (* -1/6 (pow n 2)) (+ (* -1/12 (pow n 4)) (+ (* 1/120 (pow n 5)) (+ (* 1/8 (pow n 3)) (+ (* 1/6 (pow n 3)) (* 1/5 n))))))) (+ (* -1/5 n) (+ (* -1/6 (pow n 3)) (+ (* -1/8 (pow n 3)) (+ (* -1/120 (pow n 5)) (+ (* 1/12 (pow n 4)) (+ (* 1/6 (pow n 2)) (* 1/4 (pow n 2))))))))))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))))) (* -1 n))) |
(* x (- (+ n (* (pow x 2) (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (+ (* 1/3 n) (* (pow x 2) (- (+ (* -1/4 (pow n 2)) (+ (* -1/6 (pow n 2)) (+ (* -1/12 (pow n 4)) (+ (* 1/120 (pow n 5)) (+ (* 1/8 (pow n 3)) (+ (* 1/6 (pow n 3)) (+ (* 1/5 n) (* (pow x 2) (- (+ (* -1/6 (pow n 2)) (+ (* -1/10 (pow n 2)) (+ (* -1/12 (pow n 2)) (+ (* -1/12 (pow n 4)) (+ (* -1/24 (pow n 4)) (+ (* -1/48 (pow n 4)) (+ (* -1/240 (pow n 6)) (+ (* 1/5040 (pow n 7)) (+ (* 1/72 (pow n 5)) (+ (* 1/48 (pow n 5)) (+ (* 1/24 (pow n 3)) (+ (* 1/18 (pow n 3)) (+ (* 1/10 (pow n 3)) (+ (* 1/8 (pow n 3)) (* 1/7 n))))))))))))))) (+ (* -1/7 n) (+ (* -1/8 (pow n 3)) (+ (* -1/10 (pow n 3)) (+ (* -1/18 (pow n 3)) (+ (* -1/24 (pow n 3)) (+ (* -1/48 (pow n 5)) (+ (* -1/72 (pow n 5)) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* 1/48 (pow n 4)) (+ (* 1/24 (pow n 4)) (+ (* 1/12 (pow n 2)) (+ (* 1/12 (pow n 4)) (+ (* 1/10 (pow n 2)) (* 1/6 (pow n 2))))))))))))))))))))))))) (+ (* -1/5 n) (+ (* -1/6 (pow n 3)) (+ (* -1/8 (pow n 3)) (+ (* -1/120 (pow n 5)) (+ (* 1/12 (pow n 4)) (+ (* 1/6 (pow n 2)) (* 1/4 (pow n 2))))))))))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))))) (* -1 n))) |
(+ 1 (* n x)) |
(+ 1 (* x (+ n (* x (+ (* -1/2 n) (* 1/2 (pow n 2))))))) |
(+ 1 (* x (+ n (* x (+ (* -1/2 n) (+ (* 1/2 (pow n 2)) (* x (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))))))))) |
(* n x) |
(* x (+ n (* -1/2 (* n x)))) |
(* x (+ n (* x (+ (* -1/2 n) (* 1/3 (* n x)))))) |
(* x (+ n (* x (+ (* -1/2 n) (* x (+ (* -1/4 (* n x)) (* 1/3 n))))))) |
(* -1 (* n x)) |
(* x (+ (* -1 n) (* -1/2 (* n x)))) |
(* x (+ (* -1 n) (* x (+ (* -1/2 n) (* -1/3 (* n x)))))) |
(* x (+ (* -1 n) (* x (+ (* -1/2 n) (* x (+ (* -1/3 n) (* -1/4 (* n x)))))))) |
(exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (* -1 (/ (* n (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))) x))) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1 (/ (* n (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (/ (* (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2)))) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1 (/ (* n (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (+ (/ (* (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2)) (/ (* (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (pow x 3))))) |
(* 1/2 (- (exp (* -1 (* n (log (/ 1 x))))) (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))))) |
(+ (* 1/2 (- (exp (* -1 (* n (log (/ 1 x))))) (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* n (exp (* -1 (* n (log (/ 1 x)))))) (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))))) x))) |
(+ (* 1/2 (- (exp (* -1 (* n (log (/ 1 x))))) (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* n (exp (* -1 (* n (log (/ 1 x)))))) (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))))) x)) (* 1/2 (/ (- (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) (pow x 2))))) |
(+ (* 1/2 (- (exp (* -1 (* n (log (/ 1 x))))) (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* n (exp (* -1 (* n (log (/ 1 x)))))) (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))))) x)) (+ (* 1/2 (/ (- (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) (pow x 2))) (* 1/2 (/ (- (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) (* (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2)))))) (pow x 3)))))) |
(- (exp (* -1 (* n (log (/ 1 x))))) (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))) |
(- (+ (exp (* -1 (* n (log (/ 1 x))))) (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x)) (+ (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (* -1 (/ (* n (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))) x)))) |
(- (+ (exp (* -1 (* n (log (/ 1 x))))) (+ (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x) (/ (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2)))) (+ (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1 (/ (* n (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (/ (* (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2))))) |
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(exp (* -1 (* n (log (/ 1 x))))) |
(+ (exp (* -1 (* n (log (/ 1 x))))) (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x)) |
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(* -1 (* n (log (/ 1 x)))) |
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(* n (+ (log -1) (* -1 (log (/ 1 x))))) |
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(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
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(+ (* -1 (/ (+ (* -1 n) (* 1/2 (/ n x))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
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(* -1 (* n (log (/ -1 x)))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ n x))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* 1/2 (/ n x))) x))) |
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6 calls:
Time | Variable | Point | Expression | |
---|---|---|---|---|
52.0ms | n | @ | 0 | ((exp (* n (log (+ 1 (neg x))))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (exp (* n (log (+ 1 x)))) (* n (log (+ 1 x))) (* n (log (+ 1 (neg x))))) |
19.0ms | x | @ | inf | ((exp (* n (log (+ 1 (neg x))))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (exp (* n (log (+ 1 x)))) (* n (log (+ 1 x))) (* n (log (+ 1 (neg x))))) |
12.0ms | n | @ | -inf | ((exp (* n (log (+ 1 (neg x))))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (exp (* n (log (+ 1 x)))) (* n (log (+ 1 x))) (* n (log (+ 1 (neg x))))) |
12.0ms | n | @ | inf | ((exp (* n (log (+ 1 (neg x))))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (exp (* n (log (+ 1 x)))) (* n (log (+ 1 x))) (* n (log (+ 1 (neg x))))) |
7.0ms | x | @ | 0 | ((exp (* n (log (+ 1 (neg x))))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (exp (* n (log (+ 1 x)))) (* n (log (+ 1 x))) (* n (log (+ 1 (neg x))))) |
1× | egg-herbie |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 539 | 3726 |
1 | 1683 | 3249 |
2 | 5903 | 2746 |
0 | 8158 | 2443 |
1× | iter limit |
1× | node limit |
Inputs |
---|
1 |
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(- (+ (exp (* -1 (* n (log (/ 1 x))))) (+ (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x) (/ (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2)))) (+ (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1 (/ (* n (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (/ (* (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2))))) |
(- (+ (exp (* -1 (* n (log (/ 1 x))))) (+ (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x) (+ (/ (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2)) (/ (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) (pow x 3))))) (+ (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1 (/ (* n (exp (* n (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (+ (/ (* (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2)) (/ (* (exp (* n (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (pow x 3)))))) |
(exp (* -1 (* n (log (/ 1 x))))) |
(+ (exp (* -1 (* n (log (/ 1 x))))) (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x)) |
(+ (exp (* -1 (* n (log (/ 1 x))))) (+ (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x) (/ (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2)))) |
(+ (exp (* -1 (* n (log (/ 1 x))))) (+ (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x) (+ (/ (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2)) (/ (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) (pow x 3))))) |
(* -1 (* n (log (/ 1 x)))) |
(+ (* -1 (* n (log (/ 1 x)))) (/ n x)) |
(+ (* -1 (* n (log (/ 1 x)))) (+ (* -1/2 (/ n (pow x 2))) (/ n x))) |
(+ (* -1 (* n (log (/ 1 x)))) (+ (* -1/2 (/ n (pow x 2))) (+ (* 1/3 (/ n (pow x 3))) (/ n x)))) |
(* n (+ (log -1) (* -1 (log (/ 1 x))))) |
(+ (* -1 (/ n x)) (* n (+ (log -1) (* -1 (log (/ 1 x)))))) |
(+ (* -1 (/ n x)) (+ (* -1/2 (/ n (pow x 2))) (* n (+ (log -1) (* -1 (log (/ 1 x))))))) |
(+ (* -1 (/ n x)) (+ (* -1/2 (/ n (pow x 2))) (+ (* -1/3 (/ n (pow x 3))) (* n (+ (log -1) (* -1 (log (/ 1 x)))))))) |
(exp (* -1 (* n (log (/ -1 x))))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (* n (exp (* -1 (* n (log (/ -1 x)))))) x))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) x)) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
(* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (exp (* -1 (* n (log (/ -1 x))))))) |
(+ (* -1/2 (/ (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (exp (* -1 (* n (log (/ -1 x))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (exp (* -1 (* n (log (/ -1 x)))))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x)) (* 1/2 (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (exp (* -1 (* n (log (/ -1 x))))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (exp (* -1 (* n (log (/ -1 x)))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))))) x)) (* 1/2 (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))))) x)) (* 1/2 (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (exp (* -1 (* n (log (/ -1 x))))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (exp (* -1 (* n (log (/ -1 x)))))))) |
(- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (exp (* -1 (* n (log (/ -1 x)))))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) (exp (* -1 (* n (log (/ -1 x)))))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x))) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) (exp (* -1 (* n (log (/ -1 x)))))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))))) x)) (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x))) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) (exp (* -1 (* n (log (/ -1 x)))))) |
(exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x))))))) x)) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) x))) x))) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) x)) (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x))) x))) |
(* n (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (* n (+ (log -1) (* -1 (log (/ -1 x))))) (/ n x)) |
(+ (* -1 (/ (+ (* -1 n) (* 1/2 (/ n x))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 n) (* 1/3 (/ n x))) x))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* -1 (* n (log (/ -1 x)))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ n x))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* 1/2 (/ n x))) x))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* -1 (/ (+ (* -1/2 n) (* -1/3 (/ n x))) x))) x))) |
Outputs |
---|
1 |
#s(literal 1 binary64) |
(+ 1 (* n (log (- 1 x)))) |
(fma.f64 (log1p.f64 (neg.f64 x)) n #s(literal 1 binary64)) |
(+ 1 (* n (+ (log (- 1 x)) (* 1/2 (* n (pow (log (- 1 x)) 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (log1p.f64 (neg.f64 x))) n #s(literal 1 binary64)) |
(+ 1 (* n (+ (log (- 1 x)) (* n (+ (* 1/6 (* n (pow (log (- 1 x)) 3))) (* 1/2 (pow (log (- 1 x)) 2))))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) n) (log1p.f64 (neg.f64 x)) #s(literal 1/2 binary64))) n (log1p.f64 (neg.f64 x))) n #s(literal 1 binary64)) |
(* 1/2 (* n (- (log (+ 1 x)) (log (- 1 x))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(* n (+ (* 1/2 (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2))))) (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))))) |
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(* n (+ (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))) (* n (+ (* 1/2 (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2)))))))) |
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(* 1/2 (- (pow (+ 1 x) n) (pow (- 1 x) n))) |
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(* 1/2 (* x (- n (* -1 n)))) |
(*.f64 x n) |
(* x (+ (* 1/2 (* (pow x 2) (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))))) (* 1/2 (- n (* -1 n))))) |
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(* x (+ (* 1/2 (- n (* -1 n))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (+ (* -1/4 (pow n 2)) (+ (* -1/6 (pow n 2)) (+ (* -1/12 (pow n 4)) (+ (* 1/120 (pow n 5)) (+ (* 1/8 (pow n 3)) (+ (* 1/6 (pow n 3)) (* 1/5 n))))))) (+ (* -1/5 n) (+ (* -1/6 (pow n 3)) (+ (* -1/8 (pow n 3)) (+ (* -1/120 (pow n 5)) (+ (* 1/12 (pow n 4)) (+ (* 1/6 (pow n 2)) (* 1/4 (pow n 2))))))))))) (* 1/2 (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2)))))))))) |
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(-.f64 (fma.f64 (/.f64 (pow.f64 x n) (*.f64 x x)) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) n)) x)) (fma.f64 (/.f64 (pow.f64 x n) x) n (pow.f64 x n))) (fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 x n)) (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) n (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) (*.f64 x x))) (/.f64 n x)) (*.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 x n)))) |
(exp (* -1 (* n (log (/ 1 x))))) |
(pow.f64 x n) |
(+ (exp (* -1 (* n (log (/ 1 x))))) (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x)) |
(fma.f64 (/.f64 (pow.f64 x n) x) n (pow.f64 x n)) |
(+ (exp (* -1 (* n (log (/ 1 x))))) (+ (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x) (/ (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2)))) |
(fma.f64 (/.f64 (pow.f64 x n) x) (+.f64 (/.f64 (*.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) x) n) (pow.f64 x n)) |
(+ (exp (* -1 (* n (log (/ 1 x))))) (+ (/ (* n (exp (* -1 (* n (log (/ 1 x)))))) x) (+ (/ (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 2)) (/ (* (exp (* -1 (* n (log (/ 1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) (pow x 3))))) |
(fma.f64 (/.f64 (pow.f64 x n) (*.f64 x x)) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) n)) x)) (fma.f64 (/.f64 (pow.f64 x n) x) n (pow.f64 x n))) |
(* -1 (* n (log (/ 1 x)))) |
(*.f64 (log.f64 x) n) |
(+ (* -1 (* n (log (/ 1 x)))) (/ n x)) |
(fma.f64 (log.f64 x) n (/.f64 n x)) |
(+ (* -1 (* n (log (/ 1 x)))) (+ (* -1/2 (/ n (pow x 2))) (/ n x))) |
(fma.f64 n (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (log.f64 x)) (/.f64 n x)) |
(+ (* -1 (* n (log (/ 1 x)))) (+ (* -1/2 (/ n (pow x 2))) (+ (* 1/3 (/ n (pow x 3))) (/ n x)))) |
(fma.f64 (/.f64 (/.f64 n x) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (fma.f64 (log.f64 x) n (/.f64 n x))) |
(* n (+ (log -1) (* -1 (log (/ 1 x))))) |
(*.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) n) |
(+ (* -1 (/ n x)) (* n (+ (log -1) (* -1 (log (/ 1 x)))))) |
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) n (/.f64 (neg.f64 n) x)) |
(+ (* -1 (/ n x)) (+ (* -1/2 (/ n (pow x 2))) (* n (+ (log -1) (* -1 (log (/ 1 x))))))) |
(fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) n (*.f64 (/.f64 n x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(+ (* -1 (/ n x)) (+ (* -1/2 (/ n (pow x 2))) (+ (* -1/3 (/ n (pow x 3))) (* n (+ (log -1) (* -1 (log (/ 1 x)))))))) |
(fma.f64 (/.f64 (/.f64 n x) x) (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) n (/.f64 (neg.f64 n) x))) |
(exp (* -1 (* n (log (/ -1 x))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (* n (exp (* -1 (* n (log (/ -1 x)))))) x))) |
(-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (/.f64 n x))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
(-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (-.f64 n (/.f64 (*.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) x))) x)) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) x)) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
(-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) n (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (-.f64 (*.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) n)) x))) (neg.f64 x))) x)) |
(* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (exp (* -1 (* n (log (/ -1 x))))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (exp (* -1 (* n (log (/ -1 x))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (exp (* -1 (* n (log (/ -1 x)))))))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 n) (fma.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)))) x) #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n))) #s(literal 1/2 binary64))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x)) (* 1/2 (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (exp (* -1 (* n (log (/ -1 x))))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (exp (* -1 (* n (log (/ -1 x)))))))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) x) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n)))) #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 n) (fma.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)))) #s(literal 1/2 binary64))) x)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))))) x)) (* 1/2 (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))))) x)) (* 1/2 (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (exp (* -1 (* n (log (/ -1 x))))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (exp (* -1 (* n (log (/ -1 x)))))))) |
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 n) (fma.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n))) (*.f64 (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) n))) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))) (fma.f64 #s(literal -1/3 binary64) n (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) x) #s(literal -1/2 binary64))) (neg.f64 x))) (neg.f64 x))) |
(- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (exp (* -1 (* n (log (/ -1 x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) (exp (* -1 (* n (log (/ -1 x)))))) |
(+.f64 (/.f64 (*.f64 n (fma.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)))) x) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n)))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x))) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) (exp (* -1 (* n (log (/ -1 x)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64)))) (neg.f64 x)) (*.f64 n (fma.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))))) x) #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n)))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))))) x)) (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x))) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) (exp (* -1 (* n (log (/ -1 x)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) n))) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))) (fma.f64 #s(literal -1/3 binary64) n (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (neg.f64 x))) (neg.f64 x)) (*.f64 n (fma.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))))) x) #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (+.f64 #s(literal -1 binary64) (pow.f64 #s(literal -1 binary64) n)))) |
(exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(*.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x))))))) x)) |
(fma.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))) (/.f64 n x))) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) x))) x))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))) (+.f64 (/.f64 (*.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) x) n)) x)) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) x)) (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x))) x))) |
(fma.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (/.f64 (fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))) n (/.f64 (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))) (-.f64 (*.f64 n (fma.f64 #s(literal 1/2 binary64) n #s(literal -1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) n (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) x))) x)) x)) |
(* n (+ (log -1) (* -1 (log (/ -1 x))))) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) |
(+ (* n (+ (log -1) (* -1 (log (/ -1 x))))) (/ n x)) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n (/.f64 n x)) |
(+ (* -1 (/ (+ (* -1 n) (* 1/2 (/ n x))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n (/.f64 (fma.f64 (*.f64 (/.f64 n x) #s(literal 1/2 binary64)) #s(literal -1 binary64) n) x)) |
(+ (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 n) (* 1/3 (/ n x))) x))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n (/.f64 (+.f64 (/.f64 (*.f64 n (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64))) x) n) x)) |
(* -1 (* n (log (/ -1 x)))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 n)) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ n x))) |
(*.f64 n (-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* 1/2 (/ n x))) x))) |
(neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n (/.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* -1 (/ (+ (* -1/2 n) (* -1/3 (/ n x))) x))) x))) |
(neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n (/.f64 (-.f64 n (/.f64 (*.f64 n (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64))) x)) x))) |
Useful iterations: 2 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 12 | 46 |
0 | 24 | 48 |
1 | 85 | 44 |
2 | 548 | 42 |
3 | 5858 | 42 |
0 | 8790 | 42 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(*.f64 n (log1p.f64 x)) |
(*.f64 n (log1p.f64 (neg.f64 x))) |
Outputs |
---|
(*.f64 (pow.f64 (pow.f64 (exp.f64 n) (/.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 n) (/.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n)) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) n) (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) n)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) n) (pow.f64 (-.f64 x #s(literal 1 binary64)) n)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) n) (pow.f64 (-.f64 x #s(literal 1 binary64)) n)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) n) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n)) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) n)) |
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) n)) |
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) n)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) n) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 n) (-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (exp.f64 n) (log1p.f64 (fma.f64 x x x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) n)) |
(*.f64 (pow.f64 #s(literal 1 binary64) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) n)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n)) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n))) |
(*.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n))) |
(*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (*.f64 x x))) (pow.f64 (exp.f64 n) (neg.f64 (log1p.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (neg.f64 (log1p.f64 (fma.f64 x x x))))) |
(*.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 #s(literal 1 binary64) n)) |
(pow.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) n)) |
(pow.f64 (pow.f64 (exp.f64 n) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 n) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 n #s(literal 1 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) n) |
(pow.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 n) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 n) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 n) (*.f64 (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 n) (*.f64 #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 n) (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 n) (log1p.f64 x)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 2 binary64)) (/.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 n) #s(literal 2 binary64)) (/.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 2 binary64)) (/.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (exp.f64 n) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (log1p.f64 (fma.f64 x x x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 n) (neg.f64 (log1p.f64 x)))) |
(neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 n (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) n) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) n)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x)) (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (*.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) #s(literal -1 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x)) (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x)) (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(+.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) (neg.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))))) |
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n))) (neg.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 3 binary64)) (log1p.f64 x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n))))) |
(+.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) (*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 n) (/.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 n) (/.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n)) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) n) (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) n)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) n) (pow.f64 (-.f64 x #s(literal 1 binary64)) n)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) n) (pow.f64 (-.f64 x #s(literal 1 binary64)) n)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) n) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n)) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) n)) |
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) n)) |
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) n)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) n) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 n) (-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (exp.f64 n) (log1p.f64 (fma.f64 x x x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) n)) |
(*.f64 (pow.f64 #s(literal 1 binary64) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) n)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n)) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n))) |
(*.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n))) |
(*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (*.f64 x x))) (pow.f64 (exp.f64 n) (neg.f64 (log1p.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (neg.f64 (log1p.f64 (fma.f64 x x x))))) |
(*.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) (pow.f64 #s(literal 1 binary64) n)) |
(pow.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) n)) |
(pow.f64 (pow.f64 (exp.f64 n) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 (exp.f64 n) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 n #s(literal 1 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) n) |
(pow.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 n) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 n) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 n) (*.f64 (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1 binary64))) |
(pow.f64 (exp.f64 n) (*.f64 #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 n) (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 n) (log1p.f64 x)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 2 binary64)) (/.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 n) #s(literal 2 binary64)) (/.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (pow.f64 (exp.f64 n) #s(literal 2 binary64)) (/.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (exp.f64 n) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 n) (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (pow.f64 (exp.f64 n) (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(/.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (exp.f64 n) (log1p.f64 (fma.f64 x x x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 n) (neg.f64 (log1p.f64 x)))) |
(neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 n (*.f64 #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 n (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) n) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) n)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) n) |
(*.f64 (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) n) |
(*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n)) |
(*.f64 (log1p.f64 x) n) |
(*.f64 n (log1p.f64 x)) |
(fma.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n)) |
(-.f64 (log.f64 (pow.f64 (exp.f64 n) (log1p.f64 (*.f64 x x)))) (*.f64 (log1p.f64 x) n)) |
(-.f64 (log.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (pow.f64 (exp.f64 n) (log1p.f64 (fma.f64 x x x))))) |
(+.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))))) |
(+.f64 (log.f64 (pow.f64 #s(literal 1 binary64) n)) (*.f64 (log1p.f64 x) n)) |
(+.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) n)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n))) |
(+.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) n)) (log.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n)))) |
(+.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n)) (log.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 (log1p.f64 x) n (log.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n)) |
(+.f64 #s(literal 0 binary64) (*.f64 (log1p.f64 x) n)) |
(log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) n) |
(*.f64 (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) n) |
(*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) n)) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n)) |
(*.f64 (log1p.f64 x) n) |
(*.f64 n (log1p.f64 x)) |
(fma.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n)) |
(-.f64 (log.f64 (pow.f64 (exp.f64 n) (log1p.f64 (*.f64 x x)))) (*.f64 (log1p.f64 x) n)) |
(-.f64 (log.f64 (pow.f64 (exp.f64 n) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) (log.f64 (pow.f64 (exp.f64 n) (log1p.f64 (fma.f64 x x x))))) |
(+.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))))) |
(+.f64 (log.f64 (pow.f64 #s(literal 1 binary64) n)) (*.f64 (log1p.f64 x) n)) |
(+.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) n)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n))) |
(+.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) n)) (log.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) n)))) |
(+.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n)) (log.f64 (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 (log1p.f64 x) n (log.f64 #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) n)) |
(+.f64 #s(literal 0 binary64) (*.f64 (log1p.f64 x) n)) |
(log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) |
Compiled 16 613 to 1 770 computations (89.3% saved)
21 alts after pruning (20 fresh and 1 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 450 | 20 | 470 |
Fresh | 0 | 0 | 0 |
Picked | 0 | 1 | 1 |
Done | 0 | 0 | 0 |
Total | 450 | 21 | 471 |
Status | Accuracy | Program |
---|---|---|
77.4% | (fma.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal -1/2 binary64))) | |
76.8% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) n))) #s(literal 2 binary64)) | |
77.9% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64)) | |
75.6% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n))) #s(literal 2 binary64)) | |
77.3% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) n) (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) n))) #s(literal 2 binary64)) | |
▶ | 79.7% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
77.7% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))))) #s(literal 2 binary64)) | |
✓ | 81.0% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
71.4% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) x (*.f64 #s(literal -1/2 binary64) n)) x (neg.f64 n)) x)))) #s(literal 2 binary64)) | |
▶ | 68.2% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
▶ | 19.9% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
66.0% | (/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x n) x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) | |
76.4% | (/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) n)) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) | |
82.0% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/24 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))))) n (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) n (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))) n)) | |
82.5% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) n (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) n (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))) n)) | |
89.7% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) x) x (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64))))) n) x)) | |
84.1% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) | |
▶ | 92.5% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
76.3% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64))) | |
66.2% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) | |
▶ | 66.9% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
Compiled 1 694 to 1 106 computations (34.7% saved)
1× | egg-herbie |
Found 18 expressions of interest:
New | Metric | Score | Program |
---|---|---|---|
cost-diff | 0 | (exp.f64 (*.f64 n (log1p.f64 x))) | |
cost-diff | 0 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) | |
cost-diff | 0 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) | |
cost-diff | 1 | (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n))) | |
cost-diff | 0 | (exp.f64 (*.f64 n (log1p.f64 x))) | |
cost-diff | 0 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) | |
cost-diff | 0 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) | |
cost-diff | 1 | (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) | |
cost-diff | 0 | (*.f64 n (log1p.f64 x)) | |
cost-diff | 0 | (exp.f64 (*.f64 n (log1p.f64 x))) | |
cost-diff | 0 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) | |
cost-diff | 0 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) | |
cost-diff | 0 | (*.f64 x n) | |
cost-diff | 0 | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) | |
cost-diff | 2 | (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))) | |
cost-diff | 2 | (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) | |
cost-diff | 5 | (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) | |
cost-diff | 5 | (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 123 | 1924 |
0 | 222 | 1915 |
1 | 449 | 1898 |
2 | 1208 | 1834 |
3 | 6323 | 1813 |
0 | 8049 | 1734 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) |
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#s(literal 1/2 binary64) |
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(*.f64 n n) |
n |
#s(literal -7/20 binary64) |
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(pow.f64 n #s(literal 4 binary64)) |
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#s(literal 1/12 binary64) |
(*.f64 x x) |
x |
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#s(literal 7/24 binary64) |
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#s(literal -1/5 binary64) |
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#s(literal -7/24 binary64) |
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#s(literal 5/12 binary64) |
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(*.f64 n #s(literal 2/3 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(*.f64 x n) |
x |
n |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(*.f64 n (log1p.f64 x)) |
n |
(log1p.f64 x) |
x |
#s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(*.f64 n (log1p.f64 x)) |
n |
(log1p.f64 x) |
x |
(exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x))) |
#s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)) |
(*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x) |
(fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) |
(*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
(neg.f64 n) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(*.f64 n (log1p.f64 x)) |
n |
(log1p.f64 x) |
x |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)) |
(*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n) |
(neg.f64 (log1p.f64 (fma.f64 x x x))) |
(log1p.f64 (fma.f64 x x x)) |
(fma.f64 x x x) |
#s(literal 2 binary64) |
Outputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (fma.f64 n (fma.f64 #s(literal -7/20 binary64) n #s(literal 1/7 binary64)) (fma.f64 #s(literal -7/48 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 (*.f64 #s(literal 7/20 binary64) n) n (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 7/48 binary64) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64))))))))) (-.f64 (fma.f64 n (fma.f64 #s(literal -5/12 binary64) n (fma.f64 (*.f64 #s(literal 7/24 binary64) n) n #s(literal 1/5 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (*.f64 n n) (fma.f64 #s(literal -7/24 binary64) n #s(literal 5/12 binary64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n) (+.f64 n n) (*.f64 #s(literal 2/3 binary64) n))) n) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (fma.f64 n (fma.f64 #s(literal -7/20 binary64) n #s(literal 1/7 binary64)) (fma.f64 #s(literal -7/48 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 (*.f64 #s(literal 7/20 binary64) n) n (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 7/48 binary64) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64))))))))) (-.f64 (fma.f64 n (fma.f64 #s(literal -5/12 binary64) n (fma.f64 (*.f64 #s(literal 7/24 binary64) n) n #s(literal 1/5 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (*.f64 n n) (fma.f64 #s(literal -7/24 binary64) n #s(literal 5/12 binary64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n) (+.f64 n n) (*.f64 #s(literal 2/3 binary64) n))) n) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (fma.f64 n (fma.f64 #s(literal -7/20 binary64) n #s(literal 1/7 binary64)) (fma.f64 #s(literal -7/48 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 (*.f64 #s(literal 7/20 binary64) n) n (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 7/48 binary64) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64))))))))) (-.f64 (fma.f64 n (fma.f64 #s(literal -5/12 binary64) n (fma.f64 (*.f64 #s(literal 7/24 binary64) n) n #s(literal 1/5 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (*.f64 n n) (fma.f64 #s(literal -7/24 binary64) n #s(literal 5/12 binary64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n) (+.f64 n n) (*.f64 #s(literal 2/3 binary64) n))) n) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (-.f64 (fma.f64 n (fma.f64 #s(literal -7/20 binary64) n #s(literal 1/7 binary64)) (fma.f64 #s(literal -7/48 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 (*.f64 #s(literal 7/20 binary64) n) n (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 7/48 binary64) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64))))))))) (-.f64 (fma.f64 n (fma.f64 #s(literal -5/12 binary64) n (fma.f64 (*.f64 #s(literal 7/24 binary64) n) n #s(literal 1/5 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (*.f64 n n) (fma.f64 #s(literal -7/24 binary64) n #s(literal 5/12 binary64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n) (+.f64 n n) (*.f64 #s(literal 2/3 binary64) n))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
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(*.f64 n n) |
n |
#s(literal -7/20 binary64) |
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(pow.f64 n #s(literal 4 binary64)) |
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(pow.f64 n #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal -1/240 binary64) |
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(pow.f64 n #s(literal 7 binary64)) |
#s(literal 7 binary64) |
#s(literal 1/5040 binary64) |
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(fma.f64 #s(literal 5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/7 binary64) n))) |
(pow.f64 n #s(literal 5 binary64)) |
#s(literal 5 binary64) |
#s(literal 5/144 binary64) |
(fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n)) |
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(pow.f64 n #s(literal 3 binary64)) |
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#s(literal 29/90 binary64) |
(*.f64 #s(literal 1/7 binary64) n) |
#s(literal 1/7 binary64) |
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#s(literal -1/7 binary64) |
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#s(literal -29/90 binary64) |
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#s(literal -5/144 binary64) |
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#s(literal -1/5040 binary64) |
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#s(literal 1/240 binary64) |
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(fma.f64 (*.f64 #s(literal 7/20 binary64) n) n (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 7/48 binary64))) |
#s(literal 1/16 binary64) |
(fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) |
(fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) |
#s(literal 7/20 binary64) |
(*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
x |
(-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) |
(-.f64 (fma.f64 n (fma.f64 #s(literal -5/12 binary64) n (fma.f64 (*.f64 #s(literal 7/24 binary64) n) n #s(literal 1/5 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (*.f64 n n) (fma.f64 #s(literal -7/24 binary64) n #s(literal 5/12 binary64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))) |
(fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) |
(fma.f64 n (fma.f64 #s(literal -5/12 binary64) n (fma.f64 (*.f64 #s(literal 7/24 binary64) n) n #s(literal 1/5 binary64))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) |
#s(literal -5/12 binary64) |
(fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n)))) |
(fma.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 7/24 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/5 binary64) n)))) |
#s(literal -1/12 binary64) |
(fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))) |
(fma.f64 #s(literal 1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 7/24 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/5 binary64) n))) |
#s(literal 1/120 binary64) |
(fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n)) |
(fma.f64 #s(literal 7/24 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/5 binary64) n)) |
#s(literal 7/24 binary64) |
(*.f64 #s(literal 1/5 binary64) n) |
#s(literal 1/5 binary64) |
(fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))) |
(fma.f64 #s(literal -1/5 binary64) n (fma.f64 (*.f64 n n) (fma.f64 #s(literal -7/24 binary64) n #s(literal 5/12 binary64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))) |
#s(literal -1/5 binary64) |
(fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 n n) (fma.f64 #s(literal -7/24 binary64) n #s(literal 5/12 binary64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) |
#s(literal -7/24 binary64) |
(fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) |
#s(literal -1/120 binary64) |
(fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) |
#s(literal 5/12 binary64) |
(-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n) (+.f64 n n) (*.f64 #s(literal 2/3 binary64) n)) |
(fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) n #s(literal 2/3 binary64)) n) |
(fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal -1/2 binary64) |
(*.f64 n #s(literal 2/3 binary64)) |
(*.f64 #s(literal 2/3 binary64) n) |
#s(literal 2/3 binary64) |
(*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) n) n) |
(fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(*.f64 x n) |
x |
n |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) n) |
(*.f64 n (log1p.f64 x)) |
(*.f64 (log1p.f64 x) n) |
n |
(log1p.f64 x) |
x |
#s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x)))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x)))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) n) |
(*.f64 n (log1p.f64 x)) |
(*.f64 (log1p.f64 x) n) |
n |
(log1p.f64 x) |
x |
(exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x))) |
(exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x))) |
#s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)) |
#s(approx (* n (log (+ 1 (neg x)))) (*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x) |
(*.f64 (*.f64 n (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x) |
(fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) |
(*.f64 n (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) |
(*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) n) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) |
#s(literal -1/3 binary64) |
#s(literal -1/2 binary64) |
(neg.f64 n) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) n))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) n))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) n) |
(*.f64 n (log1p.f64 x)) |
(*.f64 (log1p.f64 x) n) |
n |
(log1p.f64 x) |
x |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) n)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)) |
(pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (neg.f64 n)) |
(*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n) |
(*.f64 (log1p.f64 (fma.f64 x x x)) (neg.f64 n)) |
(neg.f64 (log1p.f64 (fma.f64 x x x))) |
(log1p.f64 (fma.f64 x x x)) |
(fma.f64 x x x) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
New | Metric | Score | Program |
---|---|---|---|
accuracy | 0.26953125 | (*.f64 n (log1p.f64 x)) | |
accuracy | 0.3125 | (log1p.f64 (fma.f64 x x x)) | |
accuracy | 0.92885739229359 | (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) | |
accuracy | 12.027441391860567 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) | |
accuracy | 0.26953125 | (*.f64 n (log1p.f64 x)) | |
accuracy | 0.3515625 | (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) | |
accuracy | 11.195574932001794 | #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)) | |
accuracy | 12.027441391860567 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) | |
accuracy | 0.10236757271092109 | (exp.f64 (*.f64 n (log1p.f64 x))) | |
accuracy | 0.26953125 | (*.f64 n (log1p.f64 x)) | |
accuracy | 12.027441391860567 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) | |
accuracy | 38.44562822486238 | #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64)) | |
accuracy | 0.0 | (*.f64 x n) | |
accuracy | 20.958278663949034 | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) | |
accuracy | 2.225139784520996 | (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) | |
accuracy | 2.4097911947754063 | (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))))) | |
accuracy | 3.8032765350561215 | (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) | |
accuracy | 4.541074500498453 | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
322.0ms | 255× | 0 | valid |
4.0ms | 1× | 5 | exit |
Compiled 1 995 to 140 computations (93% saved)
const
: 87.0ms (31.9% of total)ival-mult
: 74.0ms (27.1% of total)ival-add
: 32.0ms (11.7% of total)ival-log1p
: 28.0ms (10.3% of total)ival-pow
: 25.0ms (9.2% of total)ival-exp
: 8.0ms (2.9% of total)ival-sub
: 7.0ms (2.6% of total)ival-div
: 4.0ms (1.5% of total)ival-neg
: 3.0ms (1.1% of total)exact
: 2.0ms (0.7% of total)adjust
: 1.0ms (0.4% of total)ival-assert
: 0.0ms (0% of total)ival-true
: 0.0ms (0% of total)Inputs |
---|
(fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) |
(fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(*.f64 x n) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(*.f64 n (log1p.f64 x)) |
(fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n))) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
(fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) |
(fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))))) |
#s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64)) |
#s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)) |
(*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) |
(log1p.f64 (fma.f64 x x x)) |
Outputs |
---|
(* 7/20 (pow n 2)) |
(* (pow n 2) (+ 7/20 (* 7/48 (pow n 2)))) |
(* 2/3 n) |
(* n (+ 2/3 (* -1 n))) |
(* n (+ 2/3 (* n (- (* 1/3 n) 1)))) |
(* 1/5 n) |
(* n (+ 1/5 (* -5/12 n))) |
(* n (+ 1/5 (* n (- (* 7/24 n) 5/12)))) |
(* n (+ 1/5 (* n (- (* n (+ 7/24 (* -1/12 n))) 5/12)))) |
(* 5/12 (pow n 2)) |
(* (pow n 2) (+ 5/12 (* -7/24 n))) |
(* (pow n 2) (+ 5/12 (* n (- (* 1/12 n) 7/24)))) |
(* (pow n 2) (+ 5/12 (* n (- (* n (+ 1/12 (* -1/120 n))) 7/24)))) |
(* 1/2 (* n (- (log (+ 1 x)) (log (- 1 x))))) |
(* n (+ (* 1/2 (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2))))) (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))))) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))) (* n (+ (* 1/2 (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2)))))))) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))) (* n (+ (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2)))) (* n (+ (* 1/2 (* n (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log (- 1 x)) 4))))) (* 1/2 (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3)))))))))) |
(* n x) |
(* n (- (log (+ 1 x)) (log (- 1 x)))) |
(* n (- (+ (log (+ 1 x)) (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2))))) (log (- 1 x)))) |
(* n (- (+ (log (+ 1 x)) (* n (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (pow (log (- 1 x)) 2))))) (log (- 1 x)))) |
(* n (- (+ (log (+ 1 x)) (* n (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (+ (* 1/6 (pow (log (+ 1 x)) 3)) (* n (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log (- 1 x)) 4))))) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (pow (log (- 1 x)) 2))))) (log (- 1 x)))) |
1 |
(+ 1 (* n (log (+ 1 x)))) |
(+ 1 (* n (+ (log (+ 1 x)) (* 1/2 (* n (pow (log (+ 1 x)) 2)))))) |
(+ 1 (* n (+ (log (+ 1 x)) (* n (+ (* 1/6 (* n (pow (log (+ 1 x)) 3))) (* 1/2 (pow (log (+ 1 x)) 2))))))) |
(* n (log (+ 1 x))) |
(* n (- (* x (- (* -1/3 x) 1/2)) 1)) |
(+ 1 (* n (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) |
(+ 1 (* n (+ (log (- 1 (pow x 3))) (+ (* -1 (log (+ 1 (+ x (pow x 2))))) (* n (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2))))))))) |
(+ 1 (* n (+ (log (- 1 (pow x 3))) (+ (* -1 (log (+ 1 (+ x (pow x 2))))) (* n (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (+ (* 1/2 (pow (log (- 1 (pow x 3))) 2)) (* n (+ (* -1/2 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 2))) (+ (* -1/6 (pow (log (+ 1 (+ x (pow x 2)))) 3)) (+ (* 1/6 (pow (log (- 1 (pow x 3))) 3)) (* 1/2 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (log (- 1 (pow x 3))))))))))))))))) |
(* 1/2 (* n (- (log (+ 1 x)) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2))))))))) |
(* n (+ (* 1/2 (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2))))))) (* 1/2 (- (log (+ 1 x)) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))))) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) (* n (+ (* 1/2 (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (+ (* -1/2 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 2))) (+ (* -1/6 (pow (log (+ 1 (+ x (pow x 2)))) 3)) (+ (* 1/6 (pow (log (- 1 (pow x 3))) 3)) (* 1/2 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (log (- 1 (pow x 3))))))))))) (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2)))))))))) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) (* n (+ (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2)))))) (* n (+ (* 1/2 (* n (- (* 1/24 (pow (log (+ 1 x)) 4)) (+ (* -1/6 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 3))) (+ (* -1/6 (* (pow (log (+ 1 (+ x (pow x 2)))) 3) (log (- 1 (pow x 3))))) (+ (* 1/24 (pow (log (+ 1 (+ x (pow x 2)))) 4)) (+ (* 1/24 (pow (log (- 1 (pow x 3))) 4)) (* 1/4 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (pow (log (- 1 (pow x 3))) 2)))))))))) (* 1/2 (- (* 1/6 (pow (log (+ 1 x)) 3)) (+ (* -1/2 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 2))) (+ (* -1/6 (pow (log (+ 1 (+ x (pow x 2)))) 3)) (+ (* 1/6 (pow (log (- 1 (pow x 3))) 3)) (* 1/2 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (log (- 1 (pow x 3)))))))))))))))) |
(* n (- (log (+ 1 x)) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) |
(* n (- (+ (log (+ 1 x)) (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2))))))) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) |
(* n (- (+ (log (+ 1 x)) (* n (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (+ (* -1/2 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 2))) (+ (* -1/6 (pow (log (+ 1 (+ x (pow x 2)))) 3)) (+ (* 1/6 (pow (log (- 1 (pow x 3))) 3)) (* 1/2 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (log (- 1 (pow x 3))))))))))) (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2))))))) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) |
(* n (- (+ (log (+ 1 x)) (* n (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (+ (* 1/6 (pow (log (+ 1 x)) 3)) (* n (- (* 1/24 (pow (log (+ 1 x)) 4)) (+ (* -1/6 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 3))) (+ (* -1/6 (* (pow (log (+ 1 (+ x (pow x 2)))) 3) (log (- 1 (pow x 3))))) (+ (* 1/24 (pow (log (+ 1 (+ x (pow x 2)))) 4)) (+ (* 1/24 (pow (log (- 1 (pow x 3))) 4)) (* 1/4 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (pow (log (- 1 (pow x 3))) 2)))))))))) (+ (* -1/2 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 2))) (+ (* -1/6 (pow (log (+ 1 (+ x (pow x 2)))) 3)) (+ (* 1/6 (pow (log (- 1 (pow x 3))) 3)) (* 1/2 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (log (- 1 (pow x 3))))))))))) (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2))))))) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) |
(* 1/7 n) |
(* n (+ 1/7 (* -7/20 n))) |
(* n (+ 1/7 (* n (- (* 29/90 n) 7/20)))) |
(* n (+ 1/7 (* n (- (* n (+ 29/90 (* -7/48 n))) 7/20)))) |
(* -1/7 n) |
(* n (- (* 7/20 n) 1/7)) |
(* n (- (* n (+ 7/20 (* -29/90 n))) 1/7)) |
(* n (- (* n (+ 7/20 (* n (- (* 7/48 n) 29/90)))) 1/7)) |
(+ 1 (* n (log (- 1 x)))) |
(+ 1 (* n (+ (log (- 1 x)) (* 1/2 (* n (pow (log (- 1 x)) 2)))))) |
(+ 1 (* n (+ (log (- 1 x)) (* n (+ (* 1/6 (* n (pow (log (- 1 x)) 3))) (* 1/2 (pow (log (- 1 x)) 2))))))) |
(* n (log (- 1 x))) |
(* n (- (* -1/3 x) 1/2)) |
(+ 1 (* n (log (- 1 (pow x 3))))) |
(+ 1 (* n (+ (log (- 1 (pow x 3))) (* 1/2 (* n (pow (log (- 1 (pow x 3))) 2)))))) |
(+ 1 (* n (+ (log (- 1 (pow x 3))) (* n (+ (* 1/6 (* n (pow (log (- 1 (pow x 3))) 3))) (* 1/2 (pow (log (- 1 (pow x 3))) 2))))))) |
(* 7/48 (pow n 4)) |
(* (pow n 4) (+ 7/48 (* 7/20 (/ 1 (pow n 2))))) |
(* 1/3 (pow n 3)) |
(* (pow n 3) (- 1/3 (/ 1 n))) |
(* (pow n 3) (- (+ 1/3 (/ 2/3 (pow n 2))) (/ 1 n))) |
(* 1/120 (pow n 5)) |
(* (pow n 5) (- 1/120 (* 1/12 (/ 1 n)))) |
(* (pow n 5) (- (+ 1/120 (/ 7/24 (pow n 2))) (* 1/12 (/ 1 n)))) |
(* (pow n 5) (- (+ 1/120 (/ 7/24 (pow n 2))) (+ (* 1/12 (/ 1 n)) (* 5/12 (/ 1 (pow n 3)))))) |
(* -1/120 (pow n 5)) |
(* (pow n 5) (- (* 1/12 (/ 1 n)) 1/120)) |
(* (pow n 5) (- (* 1/12 (/ 1 n)) (+ 1/120 (/ 7/24 (pow n 2))))) |
(* (pow n 5) (- (+ (* 1/12 (/ 1 n)) (* 5/12 (/ 1 (pow n 3)))) (+ 1/120 (/ 7/24 (pow n 2))))) |
(* 1/2 (- (pow (+ 1 x) n) (pow (- 1 x) n))) |
(- (pow (+ 1 x) n) (pow (- 1 x) n)) |
(pow (+ 1 x) n) |
(* (exp (* -1 (* n (log (+ 1 (+ x (pow x 2))))))) (pow (- 1 (pow x 3)) n)) |
(* 1/2 (- (pow (+ 1 x) n) (* (exp (* -1 (* n (log (+ 1 (+ x (pow x 2))))))) (pow (- 1 (pow x 3)) n)))) |
(- (pow (+ 1 x) n) (* (exp (* -1 (* n (log (+ 1 (+ x (pow x 2))))))) (pow (- 1 (pow x 3)) n))) |
(* 1/5040 (pow n 7)) |
(* (pow n 7) (- 1/5040 (* 1/240 (/ 1 n)))) |
(* (pow n 7) (- (+ 1/5040 (/ 5/144 (pow n 2))) (* 1/240 (/ 1 n)))) |
(* (pow n 7) (- (+ 1/5040 (/ 5/144 (pow n 2))) (+ (* 1/240 (/ 1 n)) (* 7/48 (/ 1 (pow n 3)))))) |
(* -1/5040 (pow n 7)) |
(* (pow n 7) (- (* 1/240 (/ 1 n)) 1/5040)) |
(* (pow n 7) (- (* 1/240 (/ 1 n)) (+ 1/5040 (/ 5/144 (pow n 2))))) |
(* (pow n 7) (- (+ (* 1/240 (/ 1 n)) (* 7/48 (/ 1 (pow n 3)))) (+ 1/5040 (/ 5/144 (pow n 2))))) |
(pow (- 1 x) n) |
(pow (- 1 (pow x 3)) n) |
(* -1 (* (pow n 3) (- (/ 1 n) 1/3))) |
(* -1 (* (pow n 3) (- (* -1 (/ (- (* 2/3 (/ 1 n)) 1) n)) 1/3))) |
(* -1 (* (pow n 5) (- (* 1/12 (/ 1 n)) 1/120))) |
(* -1 (* (pow n 5) (- (* -1 (/ (- (* 7/24 (/ 1 n)) 1/12) n)) 1/120))) |
(* -1 (* (pow n 5) (- (* -1 (/ (- (* -1 (/ (- (* 5/12 (/ 1 n)) 7/24) n)) 1/12) n)) 1/120))) |
(* -1 (* (pow n 5) (- 1/120 (* 1/12 (/ 1 n))))) |
(* -1 (* (pow n 5) (+ 1/120 (* -1 (/ (- 1/12 (* 7/24 (/ 1 n))) n))))) |
(* -1 (* (pow n 5) (+ 1/120 (* -1 (/ (+ 1/12 (* -1 (/ (- 7/24 (* 5/12 (/ 1 n))) n))) n))))) |
(* -1 (* n (+ 1 (* -1 (* x (- (* -1/3 x) 1/2)))))) |
(* -1 (* (pow n 7) (- (* 1/240 (/ 1 n)) 1/5040))) |
(* -1 (* (pow n 7) (- (* -1 (/ (- (* 5/144 (/ 1 n)) 1/240) n)) 1/5040))) |
(* -1 (* (pow n 7) (- (* -1 (/ (- (* -1 (/ (- (* 7/48 (/ 1 n)) 5/144) n)) 1/240) n)) 1/5040))) |
(* -1 (* (pow n 7) (- 1/5040 (* 1/240 (/ 1 n))))) |
(* -1 (* (pow n 7) (+ 1/5040 (* -1 (/ (- 1/240 (* 5/144 (/ 1 n))) n))))) |
(* -1 (* (pow n 7) (+ 1/5040 (* -1 (/ (+ 1/240 (* -1 (/ (- 5/144 (* 7/48 (/ 1 n))) n))) n))))) |
(* 1/2 (* x (- n (* -1 n)))) |
(* x (+ (* 1/2 (* (pow x 2) (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))))) (* 1/2 (- n (* -1 n))))) |
(* x (+ (* 1/2 (- n (* -1 n))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (+ (* -1/4 (pow n 2)) (+ (* -1/6 (pow n 2)) (+ (* -1/12 (pow n 4)) (+ (* 1/120 (pow n 5)) (+ (* 1/8 (pow n 3)) (+ (* 1/6 (pow n 3)) (* 1/5 n))))))) (+ (* -1/5 n) (+ (* -1/6 (pow n 3)) (+ (* -1/8 (pow n 3)) (+ (* -1/120 (pow n 5)) (+ (* 1/12 (pow n 4)) (+ (* 1/6 (pow n 2)) (* 1/4 (pow n 2))))))))))) (* 1/2 (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2)))))))))) |
(* x (+ (* 1/2 (- n (* -1 n))) (* (pow x 2) (+ (* 1/2 (- (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2)))))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (+ (* -1/6 (pow n 2)) (+ (* -1/10 (pow n 2)) (+ (* -1/12 (pow n 2)) (+ (* -1/12 (pow n 4)) (+ (* -1/24 (pow n 4)) (+ (* -1/48 (pow n 4)) (+ (* -1/240 (pow n 6)) (+ (* 1/5040 (pow n 7)) (+ (* 1/72 (pow n 5)) (+ (* 1/48 (pow n 5)) (+ (* 1/24 (pow n 3)) (+ (* 1/18 (pow n 3)) (+ (* 1/10 (pow n 3)) (+ (* 1/8 (pow n 3)) (* 1/7 n))))))))))))))) (+ (* -1/7 n) (+ (* -1/8 (pow n 3)) (+ (* -1/10 (pow n 3)) (+ (* -1/18 (pow n 3)) (+ (* -1/24 (pow n 3)) (+ (* -1/48 (pow n 5)) (+ (* -1/72 (pow n 5)) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* 1/48 (pow n 4)) (+ (* 1/24 (pow n 4)) (+ (* 1/12 (pow n 2)) (+ (* 1/12 (pow n 4)) (+ (* 1/10 (pow n 2)) (* 1/6 (pow n 2))))))))))))))))))) (* 1/2 (- (+ (* -1/4 (pow n 2)) (+ (* -1/6 (pow n 2)) (+ (* -1/12 (pow n 4)) (+ (* 1/120 (pow n 5)) (+ (* 1/8 (pow n 3)) (+ (* 1/6 (pow n 3)) (* 1/5 n))))))) (+ (* -1/5 n) (+ (* -1/6 (pow n 3)) (+ (* -1/8 (pow n 3)) (+ (* -1/120 (pow n 5)) (+ (* 1/12 (pow n 4)) (+ (* 1/6 (pow n 2)) (* 1/4 (pow n 2)))))))))))))))) |
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(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n))))) x)) (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x))) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) (exp (* -1 (* n (log (/ -1 x)))))) |
(exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x))))))) x)) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) x))) x))) |
(+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) x)) (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x))) x))) |
(* n (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (* n (+ (log -1) (* -1 (log (/ -1 x))))) (/ n x)) |
(+ (* -1 (/ (+ (* -1 n) (* 1/2 (/ n x))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 n) (* 1/3 (/ n x))) x))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* 1/2 n) (/ n x)) x)) (* -1/3 n))) |
(* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))) |
(+ (* -1 (/ (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) x)) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x)) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))) x)) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -2/3 n) (+ (* -1/2 (pow n 2)) (* 1/6 (pow n 3))))))) x)) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))))) x)) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))) x)) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))) |
(+ (* -1/2 (/ (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))))) x)) (* 1/2 (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (+ (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -2/3 n) (+ (* -1/2 (pow n 2)) (* 1/6 (pow n 3)))))))) x)) (* 1/2 (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))))))) x)) (* 1/2 (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))))) |
(- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))) x))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))))) x))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))) x))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (+ (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -2/3 n) (+ (* -1/2 (pow n 2)) (* 1/6 (pow n 3)))))))) x)) (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))))) x))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))) x))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(exp (* -1 (* n (log (/ -1 x))))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (* n (exp (* -1 (* n (log (/ -1 x)))))) x))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) x)) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
(* -1 (* n (log (/ -1 x)))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ n x))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* 1/2 (/ n x))) x))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* -1 (/ (+ (* -1/2 n) (* -1/3 (/ n x))) x))) x))) |
(* -1 (* x (+ (* 1/3 n) (* 1/2 (/ n x))))) |
(exp (* -3 (* n (log (/ -1 x))))) |
(+ (exp (* -3 (* n (log (/ -1 x))))) (* -1 (/ (* n (exp (* -3 (* n (log (/ -1 x)))))) (pow x 3)))) |
(+ (exp (* -3 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -3 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 3))) (* n (exp (* -3 (* n (log (/ -1 x))))))) (pow x 3)))) |
(+ (exp (* -3 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -3 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) (pow x 3))) (* (exp (* -3 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) (pow x 3))) (* n (exp (* -3 (* n (log (/ -1 x))))))) (pow x 3)))) |
(* -2 (log (/ -1 x))) |
(+ (* -2 (log (/ -1 x))) (/ 1 x)) |
(+ (* -2 (log (/ -1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x))) |
6 calls:
Time | Variable | Point | Expression | |
---|---|---|---|---|
39.0ms | n | @ | -inf | ((+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4)))) (- (+ (* (* n n) (+ (* 1/6 n) -1/2)) (* n 2/3)) (* (* n n) (+ (* -1/6 n) 1/2))) (+ (* (* n n) -5/12) (+ (* (pow n 4) -1/12) (+ (* (pow n 5) 1/120) (+ (* (pow n 3) 7/24) (* 1/5 n))))) (+ (* (pow n 3) -7/24) (+ (* -1/120 (pow n 5)) (+ (* 5/12 (* n n)) (* 1/12 (pow n 4))))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (* x n) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (exp (* n (log (+ 1 x)))) (* n (log (+ 1 x))) (+ (* (* n (+ (* x -1/3) -1/2)) x) (neg n)) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n))) (/ (- (exp (* n (log (+ 1 x)))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n)))) 2) (- (exp (* n (log (+ 1 x)))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n)))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (+ (* (* n n) -7/20) (+ (* (pow n 4) -7/48) (+ (* (pow n 6) -1/240) (+ (* (pow n 7) 1/5040) (+ (* (pow n 5) 5/144) (+ (* (pow n 3) 29/90) (* 1/7 n))))))) (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (exp (* n (log (+ 1 (neg x))))) (* n (log (+ 1 (neg x)))) (* n (+ (* x -1/3) -1/2)) (pow (- 1 (pow x 3)) n) (log (+ 1 (+ (* x x) x)))) |
29.0ms | n | @ | 0 | ((+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4)))) (- (+ (* (* n n) (+ (* 1/6 n) -1/2)) (* n 2/3)) (* (* n n) (+ (* -1/6 n) 1/2))) (+ (* (* n n) -5/12) (+ (* (pow n 4) -1/12) (+ (* (pow n 5) 1/120) (+ (* (pow n 3) 7/24) (* 1/5 n))))) (+ (* (pow n 3) -7/24) (+ (* -1/120 (pow n 5)) (+ (* 5/12 (* n n)) (* 1/12 (pow n 4))))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (* x n) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (exp (* n (log (+ 1 x)))) (* n (log (+ 1 x))) (+ (* (* n (+ (* x -1/3) -1/2)) x) (neg n)) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n))) (/ (- (exp (* n (log (+ 1 x)))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n)))) 2) (- (exp (* n (log (+ 1 x)))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n)))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (+ (* (* n n) -7/20) (+ (* (pow n 4) -7/48) (+ (* (pow n 6) -1/240) (+ (* (pow n 7) 1/5040) (+ (* (pow n 5) 5/144) (+ (* (pow n 3) 29/90) (* 1/7 n))))))) (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (exp (* n (log (+ 1 (neg x))))) (* n (log (+ 1 (neg x)))) (* n (+ (* x -1/3) -1/2)) (pow (- 1 (pow x 3)) n) (log (+ 1 (+ (* x x) x)))) |
24.0ms | x | @ | inf | ((+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4)))) (- (+ (* (* n n) (+ (* 1/6 n) -1/2)) (* n 2/3)) (* (* n n) (+ (* -1/6 n) 1/2))) (+ (* (* n n) -5/12) (+ (* (pow n 4) -1/12) (+ (* (pow n 5) 1/120) (+ (* (pow n 3) 7/24) (* 1/5 n))))) (+ (* (pow n 3) -7/24) (+ (* -1/120 (pow n 5)) (+ (* 5/12 (* n n)) (* 1/12 (pow n 4))))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (* x n) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (exp (* n (log (+ 1 x)))) (* n (log (+ 1 x))) (+ (* (* n (+ (* x -1/3) -1/2)) x) (neg n)) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n))) (/ (- (exp (* n (log (+ 1 x)))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n)))) 2) (- (exp (* n (log (+ 1 x)))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n)))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (+ (* (* n n) -7/20) (+ (* (pow n 4) -7/48) (+ (* (pow n 6) -1/240) (+ (* (pow n 7) 1/5040) (+ (* (pow n 5) 5/144) (+ (* (pow n 3) 29/90) (* 1/7 n))))))) (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (exp (* n (log (+ 1 (neg x))))) (* n (log (+ 1 (neg x)))) (* n (+ (* x -1/3) -1/2)) (pow (- 1 (pow x 3)) n) (log (+ 1 (+ (* x x) x)))) |
19.0ms | n | @ | inf | ((+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4)))) (- (+ (* (* n n) (+ (* 1/6 n) -1/2)) (* n 2/3)) (* (* n n) (+ (* -1/6 n) 1/2))) (+ (* (* n n) -5/12) (+ (* (pow n 4) -1/12) (+ (* (pow n 5) 1/120) (+ (* (pow n 3) 7/24) (* 1/5 n))))) (+ (* (pow n 3) -7/24) (+ (* -1/120 (pow n 5)) (+ (* 5/12 (* n n)) (* 1/12 (pow n 4))))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (* x n) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (exp (* n (log (+ 1 x)))) (* n (log (+ 1 x))) (+ (* (* n (+ (* x -1/3) -1/2)) x) (neg n)) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n))) (/ (- (exp (* n (log (+ 1 x)))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n)))) 2) (- (exp (* n (log (+ 1 x)))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n)))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (+ (* (* n n) -7/20) (+ (* (pow n 4) -7/48) (+ (* (pow n 6) -1/240) (+ (* (pow n 7) 1/5040) (+ (* (pow n 5) 5/144) (+ (* (pow n 3) 29/90) (* 1/7 n))))))) (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (exp (* n (log (+ 1 (neg x))))) (* n (log (+ 1 (neg x)))) (* n (+ (* x -1/3) -1/2)) (pow (- 1 (pow x 3)) n) (log (+ 1 (+ (* x x) x)))) |
6.0ms | x | @ | 0 | ((+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4)))) (- (+ (* (* n n) (+ (* 1/6 n) -1/2)) (* n 2/3)) (* (* n n) (+ (* -1/6 n) 1/2))) (+ (* (* n n) -5/12) (+ (* (pow n 4) -1/12) (+ (* (pow n 5) 1/120) (+ (* (pow n 3) 7/24) (* 1/5 n))))) (+ (* (pow n 3) -7/24) (+ (* -1/120 (pow n 5)) (+ (* 5/12 (* n n)) (* 1/12 (pow n 4))))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (* x n) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (exp (* n (log (+ 1 x)))) (* n (log (+ 1 x))) (+ (* (* n (+ (* x -1/3) -1/2)) x) (neg n)) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n))) (/ (- (exp (* n (log (+ 1 x)))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n)))) 2) (- (exp (* n (log (+ 1 x)))) (* (pow (- 1 (pow x 3)) n) (exp (* (neg (log (+ 1 (+ (* x x) x)))) n)))) (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (+ (* (* n n) -7/20) (+ (* (pow n 4) -7/48) (+ (* (pow n 6) -1/240) (+ (* (pow n 7) 1/5040) (+ (* (pow n 5) 5/144) (+ (* (pow n 3) 29/90) (* 1/7 n))))))) (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (exp (* n (log (+ 1 (neg x))))) (* n (log (+ 1 (neg x)))) (* n (+ (* x -1/3) -1/2)) (pow (- 1 (pow x 3)) n) (log (+ 1 (+ (* x x) x)))) |
1× | egg-herbie |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 1181 | 9172 |
1 | 3843 | 8125 |
0 | 8194 | 7263 |
1× | iter limit |
1× | node limit |
Inputs |
---|
(* 7/20 (pow n 2)) |
(* (pow n 2) (+ 7/20 (* 7/48 (pow n 2)))) |
(* 2/3 n) |
(* n (+ 2/3 (* -1 n))) |
(* n (+ 2/3 (* n (- (* 1/3 n) 1)))) |
(* 1/5 n) |
(* n (+ 1/5 (* -5/12 n))) |
(* n (+ 1/5 (* n (- (* 7/24 n) 5/12)))) |
(* n (+ 1/5 (* n (- (* n (+ 7/24 (* -1/12 n))) 5/12)))) |
(* 5/12 (pow n 2)) |
(* (pow n 2) (+ 5/12 (* -7/24 n))) |
(* (pow n 2) (+ 5/12 (* n (- (* 1/12 n) 7/24)))) |
(* (pow n 2) (+ 5/12 (* n (- (* n (+ 1/12 (* -1/120 n))) 7/24)))) |
(* 1/2 (* n (- (log (+ 1 x)) (log (- 1 x))))) |
(* n (+ (* 1/2 (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2))))) (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))))) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))) (* n (+ (* 1/2 (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2)))))))) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))) (* n (+ (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2)))) (* n (+ (* 1/2 (* n (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log (- 1 x)) 4))))) (* 1/2 (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3)))))))))) |
(* n x) |
(* n (- (log (+ 1 x)) (log (- 1 x)))) |
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(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (* n (exp (* -1 (* n (log (/ -1 x)))))) x))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) x)) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
(* -1 (* n (log (/ -1 x)))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ n x))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* 1/2 (/ n x))) x))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* -1 (/ (+ (* -1/2 n) (* -1/3 (/ n x))) x))) x))) |
(* -1 (* x (+ (* 1/3 n) (* 1/2 (/ n x))))) |
(exp (* -3 (* n (log (/ -1 x))))) |
(+ (exp (* -3 (* n (log (/ -1 x))))) (* -1 (/ (* n (exp (* -3 (* n (log (/ -1 x)))))) (pow x 3)))) |
(+ (exp (* -3 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -3 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 3))) (* n (exp (* -3 (* n (log (/ -1 x))))))) (pow x 3)))) |
(+ (exp (* -3 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -3 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) (pow x 3))) (* (exp (* -3 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) (pow x 3))) (* n (exp (* -3 (* n (log (/ -1 x))))))) (pow x 3)))) |
(* -2 (log (/ -1 x))) |
(+ (* -2 (log (/ -1 x))) (/ 1 x)) |
(+ (* -2 (log (/ -1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x))) |
Outputs |
---|
(* 7/20 (pow n 2)) |
(*.f64 (*.f64 n n) #s(literal 7/20 binary64)) |
(* (pow n 2) (+ 7/20 (* 7/48 (pow n 2)))) |
(*.f64 (fma.f64 #s(literal 7/48 binary64) (*.f64 n n) #s(literal 7/20 binary64)) (*.f64 n n)) |
(* 2/3 n) |
(*.f64 #s(literal 2/3 binary64) n) |
(* n (+ 2/3 (* -1 n))) |
(*.f64 (-.f64 #s(literal 2/3 binary64) n) n) |
(* n (+ 2/3 (* n (- (* 1/3 n) 1)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) n #s(literal -1 binary64)) n #s(literal 2/3 binary64)) n) |
(* 1/5 n) |
(*.f64 #s(literal 1/5 binary64) n) |
(* n (+ 1/5 (* -5/12 n))) |
(*.f64 (fma.f64 #s(literal -5/12 binary64) n #s(literal 1/5 binary64)) n) |
(* n (+ 1/5 (* n (- (* 7/24 n) 5/12)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 7/24 binary64) n #s(literal -5/12 binary64)) n #s(literal 1/5 binary64)) n) |
(* n (+ 1/5 (* n (- (* n (+ 7/24 (* -1/12 n))) 5/12)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/12 binary64) n #s(literal 7/24 binary64)) n #s(literal -5/12 binary64)) n #s(literal 1/5 binary64)) n) |
(* 5/12 (pow n 2)) |
(*.f64 #s(literal 5/12 binary64) (*.f64 n n)) |
(* (pow n 2) (+ 5/12 (* -7/24 n))) |
(*.f64 (fma.f64 #s(literal -7/24 binary64) n #s(literal 5/12 binary64)) (*.f64 n n)) |
(* (pow n 2) (+ 5/12 (* n (- (* 1/12 n) 7/24)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) n #s(literal -7/24 binary64)) n #s(literal 5/12 binary64)) (*.f64 n n)) |
(* (pow n 2) (+ 5/12 (* n (- (* n (+ 1/12 (* -1/120 n))) 7/24)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) n #s(literal 1/12 binary64)) n #s(literal -7/24 binary64)) n #s(literal 5/12 binary64)) (*.f64 n n)) |
(* 1/2 (* n (- (log (+ 1 x)) (log (- 1 x))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) |
(* n (+ (* 1/2 (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2))))) (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) n (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) n) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))) (* n (+ (* 1/2 (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) n (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))))) n (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))) n) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (log (- 1 x)))) (* n (+ (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2)))) (* n (+ (* 1/2 (* n (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log (- 1 x)) 4))))) (* 1/2 (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3)))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 4 binary64)))) n (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))))) n (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) n (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))) n) |
(* n x) |
(*.f64 x n) |
(* n (- (log (+ 1 x)) (log (- 1 x)))) |
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) n) |
(* n (- (+ (log (+ 1 x)) (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (- 1 x)) 2))))) (log (- 1 x)))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)))) n (log1p.f64 x)) (log1p.f64 (neg.f64 x))) n) |
(* n (- (+ (log (+ 1 x)) (* n (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (pow (log (- 1 x)) 2))))) (log (- 1 x)))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) n (*.f64 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) n (log1p.f64 x)) (log1p.f64 (neg.f64 x))) n) |
(* n (- (+ (log (+ 1 x)) (* n (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* n (- (+ (* 1/6 (pow (log (+ 1 x)) 3)) (* n (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log (- 1 x)) 4))))) (* 1/6 (pow (log (- 1 x)) 3))))) (* 1/2 (pow (log (- 1 x)) 2))))) (log (- 1 x)))) |
(*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 4 binary64)))) n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))))) n (*.f64 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) n (log1p.f64 x)) (log1p.f64 (neg.f64 x))) n) |
1 |
#s(literal 1 binary64) |
(+ 1 (* n (log (+ 1 x)))) |
(fma.f64 (log1p.f64 x) n #s(literal 1 binary64)) |
(+ 1 (* n (+ (log (+ 1 x)) (* 1/2 (* n (pow (log (+ 1 x)) 2)))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n #s(literal 1 binary64)) |
(+ 1 (* n (+ (log (+ 1 x)) (* n (+ (* 1/6 (* n (pow (log (+ 1 x)) 3))) (* 1/2 (pow (log (+ 1 x)) 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n (log1p.f64 x)) n #s(literal 1 binary64)) |
(* n (log (+ 1 x))) |
(*.f64 (log1p.f64 x) n) |
(* n (- (* x (- (* -1/3 x) 1/2)) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) n) |
(+ 1 (* n (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) |
(fma.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x x))) n #s(literal 1 binary64)) |
(+ 1 (* n (+ (log (- 1 (pow x 3))) (+ (* -1 (log (+ 1 (+ x (pow x 2))))) (* n (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2))))))))) |
(fma.f64 (+.f64 (fma.f64 (fma.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (log1p.f64 (fma.f64 x x x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))))) n (neg.f64 (log1p.f64 (fma.f64 x x x)))) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))))) n #s(literal 1 binary64)) |
(+ 1 (* n (+ (log (- 1 (pow x 3))) (+ (* -1 (log (+ 1 (+ x (pow x 2))))) (* n (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (+ (* 1/2 (pow (log (- 1 (pow x 3))) 2)) (* n (+ (* -1/2 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 2))) (+ (* -1/6 (pow (log (+ 1 (+ x (pow x 2)))) 3)) (+ (* 1/6 (pow (log (- 1 (pow x 3))) 3)) (* 1/2 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (log (- 1 (pow x 3))))))))))))))))) |
(fma.f64 (+.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x x))) (*.f64 (fma.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))))) (log1p.f64 (fma.f64 x x x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (fma.f64 x x x))) (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (*.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/6 binary64))))) n))) n)) n #s(literal 1 binary64)) |
(* 1/2 (* n (- (log (+ 1 x)) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2))))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x x))))) |
(* n (+ (* 1/2 (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2))))))) (* 1/2 (- (log (+ 1 x)) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))))) n (-.f64 (log1p.f64 x) (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x x)))))) n) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) (* n (+ (* 1/2 (* n (- (* 1/6 (pow (log (+ 1 x)) 3)) (+ (* -1/2 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 2))) (+ (* -1/6 (pow (log (+ 1 (+ x (pow x 2)))) 3)) (+ (* 1/6 (pow (log (- 1 (pow x 3))) 3)) (* 1/2 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (log (- 1 (pow x 3))))))))))) (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (fma.f64 x x x))) (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (*.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) n (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))))))) n (*.f64 (-.f64 (log1p.f64 x) (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x x)))) #s(literal 1/2 binary64))) n) |
(* n (+ (* 1/2 (- (log (+ 1 x)) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) (* n (+ (* 1/2 (- (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2)))))) (* n (+ (* 1/2 (* n (- (* 1/24 (pow (log (+ 1 x)) 4)) (+ (* -1/6 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 3))) (+ (* -1/6 (* (pow (log (+ 1 (+ x (pow x 2)))) 3) (log (- 1 (pow x 3))))) (+ (* 1/24 (pow (log (+ 1 (+ x (pow x 2)))) 4)) (+ (* 1/24 (pow (log (- 1 (pow x 3))) 4)) (* 1/4 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (pow (log (- 1 (pow x 3))) 2)))))))))) (* 1/2 (- (* 1/6 (pow (log (+ 1 x)) 3)) (+ (* -1/2 (* (log (+ 1 (+ x (pow x 2)))) (pow (log (- 1 (pow x 3))) 2))) (+ (* -1/6 (pow (log (+ 1 (+ x (pow x 2)))) 3)) (+ (* 1/6 (pow (log (- 1 (pow x 3))) 3)) (* 1/2 (* (pow (log (+ 1 (+ x (pow x 2)))) 2) (log (- 1 (pow x 3)))))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (log1p.f64 (fma.f64 x x x)) (*.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)))))) n (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (fma.f64 x x x))) (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (*.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/6 binary64)))))))) n (*.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) n (*.f64 (-.f64 (log1p.f64 x) (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x x)))) #s(literal 1/2 binary64))) n) |
(* n (- (log (+ 1 x)) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) |
(*.f64 (-.f64 (log1p.f64 x) (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x x)))) n) |
(* n (- (+ (log (+ 1 x)) (* n (- (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* -1 (* (log (+ 1 (+ x (pow x 2)))) (log (- 1 (pow x 3))))) (+ (* 1/2 (pow (log (+ 1 (+ x (pow x 2)))) 2)) (* 1/2 (pow (log (- 1 (pow x 3))) 2))))))) (+ (log (- 1 (pow x 3))) (* -1 (log (+ 1 (+ x (pow x 2)))))))) |
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(fma.f64 (/.f64 (*.f64 (neg.f64 n) (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))))) x)) (* 1/2 (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x) (-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 n) (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 1/2 binary64))) (neg.f64 x))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (+ (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -2/3 n) (+ (* -1/2 (pow n 2)) (* 1/6 (pow n 3)))))))) x)) (* 1/2 (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))))))) x)) (* 1/2 (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))))) x)) (* 1/2 (- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 n) (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 #s(literal -2/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 n n)))) n))) x) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) (-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 1/2 binary64))) (neg.f64 x))) (neg.f64 x))) |
(- (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))) x))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(-.f64 (-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (*.f64 (neg.f64 n) (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x)) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))))) x))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))) x))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(-.f64 (-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x) (-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n))) (*.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) x)) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(- (+ (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (* n (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (/ (- (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/3 n) (+ (* -1/6 (pow n 3)) (* 1/2 (pow n 2))))) (+ (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -2/3 n) (+ (* -1/2 (pow n 2)) (* 1/6 (pow n 3)))))))) x)) (* (exp (* n (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) (* (exp (* -3 (* n (log (/ -1 x))))) (* (exp (* 2 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))))) x))) (* n (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x)))))))) x))) (* (exp (* -3 (* n (log (/ -1 x))))) (exp (* 2 (* n (log (/ -1 x))))))) |
(-.f64 (-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 #s(literal -2/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 n n)))) n))) x) #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) (-.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x))) (*.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) x)) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(exp (* -1 (* n (log (/ -1 x))))) |
(pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (* n (exp (* -1 (* n (log (/ -1 x)))))) x))) |
(fma.f64 (neg.f64 n) (/.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
(-.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x)) (*.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) x)) |
(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) x)) (* (exp (* -1 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) x)) (* n (exp (* -1 (* n (log (/ -1 x))))))) x))) |
(-.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 (fma.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) n))) x)) (*.f64 (pow.f64 (exp.f64 (neg.f64 n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x)) x)) |
(* -1 (* n (log (/ -1 x)))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 n)) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ n x))) |
(neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n (/.f64 n x))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* 1/2 (/ n x))) x))) |
(neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n (/.f64 (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) n) x))) |
(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ (+ n (* -1 (/ (+ (* -1/2 n) (* -1/3 (/ n x))) x))) x))) |
(neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n (/.f64 (-.f64 n (/.f64 (fma.f64 (/.f64 n x) #s(literal -1/3 binary64) (*.f64 #s(literal -1/2 binary64) n)) x)) x))) |
(* -1 (* x (+ (* 1/3 n) (* 1/2 (/ n x))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 n x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) n))) |
(exp (* -3 (* n (log (/ -1 x))))) |
(pow.f64 (exp.f64 (*.f64 #s(literal -3 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (exp (* -3 (* n (log (/ -1 x))))) (* -1 (/ (* n (exp (* -3 (* n (log (/ -1 x)))))) (pow x 3)))) |
(fma.f64 (neg.f64 n) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -3 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (exp.f64 (*.f64 #s(literal -3 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (exp (* -3 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (* (exp (* -3 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow x 3))) (* n (exp (* -3 (* n (log (/ -1 x))))))) (pow x 3)))) |
(-.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -3 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -3 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -3 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (pow.f64 x #s(literal 3 binary64)))) |
(+ (exp (* -3 (* n (log (/ -1 x))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -3 (* n (log (/ -1 x))))) (+ (* -1/2 (pow n 2)) (+ (* 1/6 (pow n 3)) (* 1/3 n)))) (pow x 3))) (* (exp (* -3 (* n (log (/ -1 x))))) (+ (* -1/2 n) (* 1/2 (pow n 2))))) (pow x 3))) (* n (exp (* -3 (* n (log (/ -1 x))))))) (pow x 3)))) |
(-.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -3 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -3 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 (fma.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -3 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) n))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -3 binary64) n)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
(* -2 (log (/ -1 x))) |
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) |
(+ (* -2 (log (/ -1 x))) (/ 1 x)) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -2 (log (/ -1 x))) (+ (/ 1/2 (pow x 2)) (/ 1 x))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- 1/2 (* 2/3 (/ 1 x))) x)) 1) x))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) x)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 123 | 567 |
0 | 222 | 559 |
1 | 984 | 511 |
0 | 8347 | 506 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) |
(fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(*.f64 x n) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 n (log1p.f64 x))) |
(*.f64 n (log1p.f64 x)) |
(fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n))) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
(fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) |
(fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))))) |
#s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64)) |
#s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)) |
(*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) |
(log1p.f64 (fma.f64 x x x)) |
Outputs |
---|
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (-.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 7/20 binary64) (*.f64 n n))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 7/20 binary64) (*.f64 n n)))) (pow.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 7/20 binary64) (*.f64 n n))) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 7/20 binary64) (*.f64 n n))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 7/20 binary64) (*.f64 n n))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 7/20 binary64) (*.f64 n n))) (-.f64 (pow.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 7/20 binary64) (*.f64 n n))) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (-.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (-.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) (-.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (-.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)))))) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 3 binary64))))) |
(fma.f64 (-.f64 (*.f64 #s(literal 49/400 binary64) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal -1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)))) |
(fma.f64 (fma.f64 #s(literal 343/8000 binary64) (pow.f64 n #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 49/400 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))) (*.f64 #s(literal 7/20 binary64) (*.f64 n n)))))) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (fma.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(fma.f64 n (*.f64 n #s(literal 7/20 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))) (/.f64 (pow.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))) |
(+.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 #s(literal 7/20 binary64) (*.f64 n n))) |
(+.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 7/20 binary64) (*.f64 n n))) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) |
(+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(+.f64 (*.f64 #s(literal 7/20 binary64) (*.f64 n n)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(+.f64 (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)))) |
(+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) #s(literal 2/3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) (*.f64 n n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) #s(literal 2/3 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) (*.f64 n n))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 n #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) #s(literal 2/3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) (*.f64 n n)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)) (*.f64 n n) (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) #s(literal 2/3 binary64)))))))) |
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(+.f64 (+.f64 (fma.f64 #s(literal -1/7 binary64) n (*.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64))))) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))) |
(+.f64 (+.f64 (fma.f64 #s(literal -1/7 binary64) n (*.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) |
(+.f64 (+.f64 (fma.f64 #s(literal -1/7 binary64) n (*.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) (*.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)))) |
(+.f64 (fma.f64 #s(literal -1/7 binary64) n (fma.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) |
(+.f64 (fma.f64 #s(literal -1/7 binary64) n (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)))) |
(+.f64 (fma.f64 #s(literal -1/7 binary64) n (*.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) |
(+.f64 (fma.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)))) (+.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))) (*.f64 #s(literal -1/7 binary64) n))) |
(+.f64 (*.f64 #s(literal -1/7 binary64) n) (fma.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))))) |
(+.f64 (*.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) (*.f64 #s(literal -1/7 binary64) n))) |
(+.f64 (fma.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 #s(literal -1/7 binary64) n)) |
(+.f64 (fma.f64 #s(literal -5/144 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal 7/20 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) (fma.f64 #s(literal -29/90 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal -1/7 binary64) n))) |
#s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64)) |
#s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) n) x (neg.f64 n)) x)) |
(*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) n) |
(*.f64 n (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) n) (*.f64 (*.f64 #s(literal -1/3 binary64) x) n)) (*.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) n) (*.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (-.f64 (*.f64 (*.f64 n (*.f64 #s(literal -1/3 binary64) x)) (*.f64 n (*.f64 #s(literal -1/3 binary64) x))) (*.f64 (*.f64 n #s(literal -1/2 binary64)) (*.f64 n #s(literal -1/2 binary64)))) (-.f64 (*.f64 n (*.f64 #s(literal -1/3 binary64) x)) (*.f64 n #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) n) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) n) (*.f64 (*.f64 #s(literal -1/3 binary64) x) n) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) n) (*.f64 #s(literal -1/2 binary64) n))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 n (*.f64 #s(literal -1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 n (*.f64 #s(literal -1/3 binary64) x)) (*.f64 n (*.f64 #s(literal -1/3 binary64) x)) (-.f64 (*.f64 (*.f64 n #s(literal -1/2 binary64)) (*.f64 n #s(literal -1/2 binary64))) (*.f64 (*.f64 n (*.f64 #s(literal -1/3 binary64) x)) (*.f64 n #s(literal -1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) n (*.f64 #s(literal -1/2 binary64) n)) |
(fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 #s(literal -1/3 binary64) x) n)) |
(fma.f64 n (*.f64 #s(literal -1/3 binary64) x) (*.f64 n #s(literal -1/2 binary64))) |
(fma.f64 n #s(literal -1/2 binary64) (*.f64 n (*.f64 #s(literal -1/3 binary64) x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 #s(literal -1/3 binary64) x) n)) |
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) n) (*.f64 #s(literal -1/2 binary64) n)) |
(+.f64 (*.f64 n #s(literal -1/2 binary64)) (*.f64 n (*.f64 #s(literal -1/3 binary64) x))) |
(+.f64 (*.f64 n (*.f64 #s(literal -1/3 binary64) x)) (*.f64 n #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 n #s(literal 1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 n #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 (log1p.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) n) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 n #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 1/2 binary64)))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 n #s(literal 1/2 binary64) (*.f64 n #s(literal 1/2 binary64)))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) |
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) n)) |
(log1p.f64 (fma.f64 x x x)) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (fma.f64 x x x)))) |
(-.f64 (log1p.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64))))) |
(log.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
Compiled 68 732 to 4 978 computations (92.8% saved)
46 alts after pruning (42 fresh and 4 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 632 | 30 | 662 |
Fresh | 3 | 12 | 15 |
Picked | 2 | 3 | 5 |
Done | 0 | 1 | 1 |
Total | 637 | 46 | 683 |
Status | Accuracy | Program |
---|---|---|
77.4% | (fma.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal -1/2 binary64))) | |
76.2% | (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) #s(literal 2 binary64)) | |
76.3% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) | |
79.7% | (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) | |
68.2% | (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) | |
19.9% | (/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) | |
76.2% | (/.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) #s(literal 2 binary64)) | |
76.8% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) n))) #s(literal 2 binary64)) | |
77.9% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64)) | |
79.6% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) | |
75.6% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n))) #s(literal 2 binary64)) | |
✓ | 79.7% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
76.9% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) n)))) #s(literal 2 binary64)) | |
77.7% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))))) #s(literal 2 binary64)) | |
80.6% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (exp.f64 n) (/.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 n) (/.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 2 binary64)) | |
72.0% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 #s(approx (pow (- 1 (pow x 3)) n) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 n) #s(literal 1 binary64))) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) | |
81.1% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) n (*.f64 (log1p.f64 (fma.f64 x x x)) (neg.f64 n))))) #s(literal 2 binary64)) | |
✓ | 81.0% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
71.4% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) x (*.f64 #s(literal -1/2 binary64) n)) x (neg.f64 n)) x)))) #s(literal 2 binary64)) | |
✓ | 19.9% | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
67.6% | (/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) | |
19.0% | (/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) | |
66.0% | (/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x n) x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) | |
18.7% | (/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x n) x #s(literal 1 binary64))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) | |
76.4% | (/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) n)) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) | |
82.6% | (/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) n (*.f64 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) n (log1p.f64 x)) (log1p.f64 (neg.f64 x))) n)) #s(literal 2 binary64)) | |
89.6% | (/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/12 binary64))))))) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) n)))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 x x) n) n) x)) #s(literal 2 binary64)) | |
84.0% | (/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) n))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 x x) n) n) x)) #s(literal 2 binary64)) | |
76.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) | |
20.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))))) | |
76.3% | (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64)) | |
64.7% | (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) n) x (neg.f64 n)) x)))) #s(literal 1/2 binary64)) | |
20.0% | (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) | |
82.5% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) n (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) n (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))) n)) | |
89.7% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) x) x (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64))))) n) x)) | |
84.1% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) | |
67.9% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) #s(approx (- (+ (* (* n n) (+ (* 1/6 n) -1/2)) (* n 2/3)) (* (* n n) (+ (* -1/6 n) 1/2))) (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (*.f64 x x) n) x)) | |
92.5% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n #s(approx (+ (* (pow n 3) -7/24) (+ (* -1/120 (pow n 5)) (+ (* 5/12 (* n n)) (* 1/12 (pow n 4))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) n #s(literal 1/12 binary64)) n #s(literal -7/24 binary64)) n #s(literal 5/12 binary64)) (*.f64 n n)))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) | |
83.7% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 #s(approx (+ (* (* n n) -5/12) (+ (* (pow n 4) -1/12) (+ (* (pow n 5) 1/120) (+ (* (pow n 3) 7/24) (* 1/5 n))))) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) | |
88.4% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) n) #s(literal 1/5040 binary64)) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) | |
88.9% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (neg.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 (-.f64 #s(literal 5/144 binary64) (/.f64 #s(literal 7/48 binary64) n)) n)) n))) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) | |
88.7% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (neg.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 5/144 binary64) n)) n))) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) | |
88.7% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) | |
88.9% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 #s(literal -1/7 binary64) n))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) | |
66.2% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) | |
✓ | 66.9% | #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
Compiled 5 874 to 2 286 computations (61.1% saved)
Inputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x n) x #s(literal 1 binary64))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) n) x (neg.f64 n)) x)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) n))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 x x) n) n) x)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) n)) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x n) x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) x (*.f64 #s(literal -1/2 binary64) n)) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) n))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 #s(approx (pow (- 1 (pow x 3)) n) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 n) #s(literal 1 binary64))) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) n (*.f64 (log1p.f64 (fma.f64 x x x)) (neg.f64 n))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) n)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) n) (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) n))) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) x) x (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64))))) n) x)) |
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#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n #s(approx (+ (* (pow n 3) -7/24) (+ (* -1/120 (pow n 5)) (+ (* 5/12 (* n n)) (* 1/12 (pow n 4))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) n #s(literal 1/12 binary64)) n #s(literal -7/24 binary64)) n #s(literal 5/12 binary64)) (*.f64 n n)))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 #s(approx (+ (* (* n n) -5/12) (+ (* (pow n 4) -1/12) (+ (* (pow n 5) 1/120) (+ (* (pow n 3) 7/24) (* 1/5 n))))) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) #s(approx (- (+ (* (* n n) (+ (* 1/6 n) -1/2)) (* n 2/3)) (* (* n n) (+ (* -1/6 n) 1/2))) (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/3 binary64))))) (*.f64 x x) n) x)) |
Outputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n #s(approx (+ (* (pow n 3) -7/24) (+ (* -1/120 (pow n 5)) (+ (* 5/12 (* n n)) (* 1/12 (pow n 4))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) n #s(literal 1/12 binary64)) n #s(literal -7/24 binary64)) n #s(literal 5/12 binary64)) (*.f64 n n)))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
4 calls:
15.0ms | x |
10.0ms | n |
10.0ms | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
10.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
Accuracy | Segments | Branch |
---|---|---|
92.5% | 1 | n |
99.3% | 2 | x |
99.4% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
99.4% | 2 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
Compiled 28 to 26 computations (7.1% saved)
Inputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x n) x #s(literal 1 binary64))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) n) x (neg.f64 n)) x)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) n))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 x x) n) n) x)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) n)) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x n) x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) x (*.f64 #s(literal -1/2 binary64) n)) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) n))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 #s(approx (pow (- 1 (pow x 3)) n) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 n) #s(literal 1 binary64))) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) n (*.f64 (log1p.f64 (fma.f64 x x x)) (neg.f64 n))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) n)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) n) (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) n))) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) x) x (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64))))) n) x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (exp.f64 n) (/.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 n) (/.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) (/.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/120 binary64) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/12 binary64))))))) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) n)))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 x x) n) n) x)) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) n (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) n (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))) n)) |
(/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)))) n (*.f64 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) n (log1p.f64 x)) (log1p.f64 (neg.f64 x))) n)) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 #s(literal -1/7 binary64) n))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) n) #s(literal 1/5040 binary64)) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (neg.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 5/144 binary64) n)) n))) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (neg.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 (-.f64 #s(literal 5/144 binary64) (/.f64 #s(literal 7/48 binary64) n)) n)) n))) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/24 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))))) n (*.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64))))) n (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal 1/2 binary64))) n)) |
Outputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (neg.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 (-.f64 #s(literal 5/144 binary64) (/.f64 #s(literal 7/48 binary64) n)) n)) n))) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
3 calls:
9.0ms | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
9.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
9.0ms | x |
Accuracy | Segments | Branch |
---|---|---|
99.2% | 2 | x |
99.2% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
99.2% | 2 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
Compiled 27 to 24 computations (11.1% saved)
Inputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x n) x #s(literal 1 binary64))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
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#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (-.f64 (/.f64 #s(literal 1/240 binary64) n) #s(literal 1/5040 binary64)) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (neg.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 5/144 binary64) n)) n))) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) |
Outputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) x) x (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64))))) n) x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
3 calls:
10.0ms | x |
9.0ms | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
9.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
Accuracy | Segments | Branch |
---|---|---|
99.2% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
99.2% | 2 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
99.2% | 2 | x |
Compiled 27 to 24 computations (11.1% saved)
Inputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x n) x #s(literal 1 binary64))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) n) x (neg.f64 n)) x)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) n))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 x x) n) n) x)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) n)) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x n) x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) x (*.f64 #s(literal -1/2 binary64) n)) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) n))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 #s(approx (pow (- 1 (pow x 3)) n) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 n) #s(literal 1 binary64))) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) n (*.f64 (log1p.f64 (fma.f64 x x x)) (neg.f64 n))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) n)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) n) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) n))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) n) (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) n))) #s(literal 2 binary64)) |
(fma.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 n) (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) n) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
Outputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) n (*.f64 (log1p.f64 (fma.f64 x x x)) (neg.f64 n))))) #s(literal 2 binary64)) |
3 calls:
7.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
7.0ms | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
7.0ms | x |
Accuracy | Segments | Branch |
---|---|---|
98.2% | 2 | x |
98.4% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
98.4% | 2 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
Compiled 27 to 24 computations (11.1% saved)
Inputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x n) x #s(literal 1 binary64))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) n) x (neg.f64 n)) x)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) n))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 x x) n) n) x)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) n)) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x n) x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) x (*.f64 #s(literal -1/2 binary64) n)) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) n))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 n #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (*.f64 #s(approx (pow (- 1 (pow x 3)) n) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 n) #s(literal 1 binary64))) (exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) n)))) #s(literal 2 binary64)) |
Outputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
2 calls:
5.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
5.0ms | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
Accuracy | Segments | Branch |
---|---|---|
98.4% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
98.4% | 2 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
Compiled 26 to 22 computations (15.4% saved)
Inputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x n) x #s(literal 1 binary64))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) n) x (neg.f64 n)) x)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) n))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 x x) n) n) x)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) n)) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (*.f64 n (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x n) x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) x (*.f64 #s(literal -1/2 binary64) n)) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
Outputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64)) |
3 calls:
6.0ms | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
4.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
4.0ms | x |
Accuracy | Segments | Branch |
---|---|---|
97.6% | 2 | x |
97.7% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
97.7% | 2 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
Compiled 27 to 24 computations (11.1% saved)
Inputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x n) x #s(literal 1 binary64))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) n) x (neg.f64 n)) x)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) (exp.f64 #s(approx (* n (log (+ 1 (neg x)))) (*.f64 (fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) n))) (fma.f64 #s(literal -1/3 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (*.f64 x x) n) n) x)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 n) (log1p.f64 x)) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
Outputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64))) |
3 calls:
4.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
4.0ms | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
3.0ms | x |
Accuracy | Segments | Branch |
---|---|---|
97.1% | 2 | x |
97.2% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
97.2% | 2 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
Compiled 27 to 24 computations (11.1% saved)
Inputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x n) x #s(literal 1 binary64))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) n) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (exp.f64 #s(approx (* n (log (+ 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 x n) #s(literal 1/3 binary64))) x n) x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) |
Outputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
4 calls:
2.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
2.0ms | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
2.0ms | n |
2.0ms | x |
Accuracy | Segments | Branch |
---|---|---|
84.1% | 1 | n |
84.1% | 1 | x |
84.1% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
84.1% | 1 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
Compiled 28 to 26 computations (7.1% saved)
Total -30.9b remaining (-146.1%)
Threshold costs -30.9b (-146.1%)
Inputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
(/.f64 (-.f64 #s(approx (exp (* n (log (+ 1 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n (*.f64 #s(literal 1/2 binary64) (*.f64 n n))) x n) x #s(literal 1 binary64))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))) #s(literal 2 binary64)) |
Outputs |
---|
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
4 calls:
1.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
1.0ms | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
1.0ms | x |
1.0ms | n |
Accuracy | Segments | Branch |
---|---|---|
66.9% | 1 | n |
66.9% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
66.9% | 1 | (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) |
66.9% | 1 | x |
Compiled 28 to 26 computations (7.1% saved)
1× | left-value |
Time | Left | Right |
---|---|---|
0.0ms | 0.17639999157995634 | 0.17981225713544602 |
Compiled 17 to 17 computations (0% saved)
1× | binary-search |
1× | narrow-enough |
Time | Left | Right |
---|---|---|
14.0ms | 0.0017397597195075738 | 0.003709098569908664 |
8.0ms | 80× | 0 | valid |
Compiled 1 096 to 712 computations (35% saved)
ival-exp
: 2.0ms (31.6% of total)ival-log1p
: 2.0ms (31.6% of total)ival-div
: 1.0ms (15.8% of total)ival-mult
: 1.0ms (15.8% of total)ival-assert
: 0.0ms (0% of total)ival-sub
: 0.0ms (0% of total)ival-true
: 0.0ms (0% of total)exact
: 0.0ms (0% of total)ival-neg
: 0.0ms (0% of total)1× | left-value |
Time | Left | Right |
---|---|---|
0.0ms | 0.027063725096082347 | 0.029918965274635445 |
Compiled 17 to 17 computations (0% saved)
1× | left-value |
Time | Left | Right |
---|---|---|
0.0ms | 0.003318361662679181 | 0.003758928244401938 |
Compiled 17 to 17 computations (0% saved)
1× | left-value |
Time | Left | Right |
---|---|---|
0.0ms | 0.003318361662679181 | 0.003758928244401938 |
Compiled 17 to 17 computations (0% saved)
1× | left-value |
Time | Left | Right |
---|---|---|
0.0ms | 0.005563455097558623 | 0.0060735224080319394 |
Compiled 17 to 17 computations (0% saved)
1× | left-value |
Time | Left | Right |
---|---|---|
0.0ms | 0.005213615799500748 | 0.005563455097558623 |
Compiled 17 to 17 computations (0% saved)
1× | egg-herbie |
Useful iterations: 3 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 203 | 964 |
1 | 304 | 924 |
2 | 524 | 920 |
3 | 1395 | 916 |
4 | 1916 | 916 |
5 | 2241 | 916 |
6 | 4051 | 916 |
1× | node limit |
Inputs |
---|
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 3206562934687793/18014398509481984 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n #s(approx (+ (* (pow n 3) -7/24) (+ (* -1/120 (pow n 5)) (+ (* 5/12 (* n n)) (* 1/12 (pow n 4))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) n #s(literal 1/12 binary64)) n #s(literal -7/24 binary64)) n #s(literal 5/12 binary64)) (*.f64 n n)))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal 4842270319348757/2305843009213693952 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (neg.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 (-.f64 #s(literal 5/144 binary64) (/.f64 #s(literal 7/48 binary64) n)) n)) n))) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) x) x (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64))))) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 8070450532247929/2305843009213693952 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) n (*.f64 (log1p.f64 (fma.f64 x x x)) (neg.f64 n))))) #s(literal 2 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 8070450532247929/2305843009213693952 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 3458764513820541/576460752303423488 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
Outputs |
---|
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 3206562934687793/18014398509481984 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) (fma.f64 #s(literal -1/7 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -29/90 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -5/144 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 n #s(literal 7 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 n #s(literal 6 binary64)) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 n n) #s(literal 7/20 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n #s(approx (+ (* (pow n 3) -7/24) (+ (* -1/120 (pow n 5)) (+ (* 5/12 (* n n)) (* 1/12 (pow n 4))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) n #s(literal 1/12 binary64)) n #s(literal -7/24 binary64)) n #s(literal 5/12 binary64)) (*.f64 n n)))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))) |
(if (<=.f64 x #s(literal 4842270319348757/2305843009213693952 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -7/20 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -7/48 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal -1/240 binary64) (fma.f64 (pow.f64 n #s(literal 7 binary64)) #s(literal 1/5040 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 5/144 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 29/90 binary64) (*.f64 #s(literal 1/7 binary64) n))))))) #s(approx (+ (* -1/7 n) (+ (* (pow n 3) -29/90) (+ (* (pow n 5) -5/144) (+ (* -1/5040 (pow n 7)) (+ (* 1/240 (pow n 6)) (+ (* (pow n 4) 1/16) (+ (* (* n n) 7/20) (* 1/12 (pow n 4))))))))) (*.f64 (neg.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal 1/240 binary64) (/.f64 (-.f64 #s(literal 5/144 binary64) (/.f64 #s(literal 7/48 binary64) n)) n)) n))) (pow.f64 n #s(literal 7 binary64))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64))))))))) (*.f64 x x) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))) (*.f64 x x) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 8070450532247929/288230376151711744 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (*.f64 n n) #s(literal -5/12 binary64) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal -1/12 binary64) (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 7/24 binary64) (*.f64 #s(literal 1/5 binary64) n))))) (fma.f64 #s(literal -1/5 binary64) n (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -7/24 binary64) (fma.f64 #s(literal -1/120 binary64) (pow.f64 n #s(literal 5 binary64)) (fma.f64 #s(literal 5/12 binary64) (*.f64 n n) (*.f64 #s(literal 1/12 binary64) (pow.f64 n #s(literal 4 binary64)))))))) x) x (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64))))) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 8070450532247929/2305843009213693952 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (fma.f64 (log1p.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) n (*.f64 (log1p.f64 (fma.f64 x x x)) (neg.f64 n))))) #s(literal 2 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 8070450532247929/2305843009213693952 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 3458764513820541/576460752303423488 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) (/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 2 binary64))) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) #s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) n) (pow.f64 (-.f64 #s(literal 1 binary64) x) n)) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (*.f64 n n) (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n #s(literal 2/3 binary64))) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))) n) x)) |
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n)) |
Useful iterations: 2 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 12 | 46 |
0 | 24 | 48 |
1 | 85 | 44 |
2 | 548 | 42 |
3 | 5858 | 42 |
0 | 8790 | 42 |
0 | 1181 | 9172 |
1 | 3843 | 8125 |
0 | 8194 | 7263 |
0 | 123 | 567 |
0 | 222 | 559 |
1 | 984 | 511 |
0 | 8347 | 506 |
0 | 539 | 3726 |
1 | 1683 | 3249 |
2 | 5903 | 2746 |
0 | 8158 | 2443 |
1× | fuel |
1× | iter limit |
1× | node limit |
1× | iter limit |
1× | node limit |
1× | iter limit |
1× | iter limit |
1× | node limit |
1× | iter limit |
1× | node limit |
1× | iter limit |
Compiled 1 039 to 264 computations (74.6% saved)
(negabs x)
Compiled 2 420 to 720 computations (70.2% saved)
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