Time bar (total: 5.7s)
1× | search |
Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
---|---|---|---|---|---|---|---|
0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 1 |
50% | 25.2% | 25.2% | 49.6% | 0% | 0% | 0% | 2 |
75% | 37.8% | 12.6% | 49.6% | 0% | 0% | 0% | 3 |
87.5% | 44.1% | 6.3% | 49.6% | 0% | 0% | 0% | 4 |
93.8% | 47.3% | 3.2% | 49.6% | 0% | 0% | 0% | 5 |
96.9% | 48.9% | 1.6% | 49.6% | 0% | 0% | 0% | 6 |
98.4% | 49.6% | 0.8% | 49.6% | 0% | 0% | 0% | 7 |
99.2% | 50% | 0.4% | 49.6% | 0% | 0% | 0% | 8 |
99.2% | 50% | 0.4% | 49.6% | 0% | 0% | 0% | 9 |
99.4% | 50.1% | 0.3% | 49.6% | 0% | 0% | 0% | 10 |
99.5% | 50.2% | 0.2% | 49.6% | 0% | 0% | 0% | 11 |
99.5% | 50.2% | 0.2% | 49.6% | 0% | 0% | 0% | 12 |
Compiled 17 to 11 computations (35.3% saved)
1.6s | 3 148× | 2 | valid |
1.3s | 4 745× | 1 | valid |
31.0ms | 363× | 0 | valid |
ival-log
: 1.4s (54% of total)ival-hypot
: 735.0ms (29.3% of total)adjust
: 219.0ms (8.7% of total)ival-add
: 112.0ms (4.5% of total)ival-<=
: 49.0ms (2% of total)exact
: 19.0ms (0.8% of total)ival-and
: 15.0ms (0.6% of total)ival-assert
: 4.0ms (0.2% of total)Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
---|---|---|---|---|---|
249 | 0 | - | 1 | (-0.011419689118835605) | (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
3 | 0 | - | 0 | - | (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
0 | 0 | - | 0 | - | #s(literal 1 binary64) |
0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (*.f64 x x)) |
0 | 0 | - | 0 | - | (*.f64 x x) |
0 | 0 | - | 0 | - | x |
Operator | Subexpression | Explanation | Count | |
---|---|---|---|---|
log.f64 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) | sensitivity | 248 | 1 |
+.f64 | (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) | cancellation | 3 | 0 |
Predicted + | Predicted - | |
---|---|---|
+ | 251 | 1 |
- | 0 | 4 |
Predicted + | Predicted Maybe | Predicted - | |
---|---|---|---|
+ | 251 | 1 | 0 |
- | 0 | 0 | 4 |
number | freq |
---|---|
0 | 5 |
1 | 251 |
Predicted + | Predicted Maybe | Predicted - | |
---|---|---|---|
+ | 1 | 0 | 0 |
- | 0 | 0 | 0 |
167.0ms | 186× | 2 | valid |
115.0ms | 294× | 1 | valid |
3.0ms | 32× | 0 | valid |
Compiled 79 to 25 computations (68.4% saved)
adjust
: 83.0ms (32.1% of total)ival-log
: 80.0ms (30.9% of total)ival-mult
: 54.0ms (20.9% of total)ival-hypot
: 32.0ms (12.4% of total)ival-add
: 9.0ms (3.5% 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: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 9 | 21 |
1 | 23 | 19 |
2 | 48 | 19 |
3 | 88 | 19 |
4 | 138 | 19 |
5 | 185 | 19 |
6 | 226 | 19 |
7 | 230 | 19 |
0 | 7 | 9 |
0 | 12 | 9 |
1 | 16 | 9 |
0 | 16 | 8 |
1× | iter limit |
1× | saturated |
1× | iter limit |
1× | saturated |
Inputs |
---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
Outputs |
---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 1 computations (-∞% saved)
Status | Accuracy | Program |
---|---|---|
▶ | 10.2% | (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
Compiled 9 to 7 computations (22.2% saved)
1× | egg-herbie |
Found 4 expressions of interest:
New | Metric | Score | Program |
---|---|---|---|
cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) | |
cost-diff | 0 | (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
cost-diff | 0 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) | |
cost-diff | 1 | (+.f64 #s(literal 1 binary64) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 7 | 33 |
0 | 12 | 33 |
1 | 16 | 33 |
0 | 16 | 29 |
1× | iter limit |
1× | saturated |
1× | iter limit |
Inputs |
---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
x |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
Outputs |
---|
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) |
x |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x x) |
Found 4 expressions of interest:
New | Metric | Score | Program |
---|---|---|---|
accuracy | 0.0 | (*.f64 x x) | |
accuracy | 0.01171875 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) | |
accuracy | 0.158493352772019 | (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
accuracy | 57.35835175203392 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
47.0ms | 93× | 2 | valid |
31.0ms | 147× | 1 | valid |
1.0ms | 16× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-log
: 39.0ms (58.2% of total)ival-hypot
: 15.0ms (22.4% of total)adjust
: 6.0ms (8.9% of total)ival-add
: 4.0ms (6% of total)ival-mult
: 2.0ms (3% of total)ival-assert
: 0.0ms (0% of total)ival-true
: 0.0ms (0% of total)exact
: 0.0ms (0% of total)Inputs |
---|
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 x x) |
Outputs |
---|
1 |
(+ 1 (pow x 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
Time | Variable | Point | Expression | |
---|---|---|---|---|
2.0ms | x | @ | inf | ((+ 1 (* x x)) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (* x x)) |
1.0ms | x | @ | 0 | ((+ 1 (* x x)) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (* x x)) |
1.0ms | x | @ | -inf | ((+ 1 (* x x)) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (* x x)) |
1× | egg-herbie |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 125 | 448 |
1 | 353 | 440 |
2 | 938 | 432 |
3 | 2928 | 402 |
4 | 7103 | 402 |
0 | 8159 | 378 |
1× | iter limit |
1× | node limit |
Inputs |
---|
1 |
(+ 1 (pow x 2)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
Outputs |
---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 7 | 31 |
0 | 12 | 31 |
1 | 44 | 31 |
2 | 301 | 31 |
3 | 3060 | 31 |
0 | 8375 | 27 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 x x) |
Outputs |
---|
(*.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))) |
(*.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x)))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 x x))) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (log1p.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -3 binary64)) (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
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(*.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 8 789 to 1 599 computations (81.8% saved)
12 alts after pruning (12 fresh and 0 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 365 | 12 | 377 |
Fresh | 0 | 0 | 0 |
Picked | 1 | 0 | 1 |
Done | 0 | 0 | 0 |
Total | 366 | 12 | 378 |
Status | Accuracy | Program |
---|---|---|
10.1% | (log.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) | |
10.2% | (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) | |
10.2% | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) | |
▶ | 1.8% | (log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
3.0% | (log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) | |
▶ | 1.7% | (log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))) |
▶ | 1.8% | (log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
▶ | 7.1% | (log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))) |
1.4% | (log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (*.f64 #s(literal 2 binary64) x))) | |
97.3% | #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) | |
▶ | 97.6% | #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
97.2% | #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
Compiled 374 to 264 computations (29.4% saved)
1× | egg-herbie |
Found 18 expressions of interest:
New | Metric | Score | Program |
---|---|---|---|
cost-diff | 0 | (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) | |
cost-diff | 0 | #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) | |
cost-diff | 0 | (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) | |
cost-diff | 0 | (log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) | |
cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
cost-diff | 0 | #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) | |
cost-diff | 0 | (log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) | |
cost-diff | 0 | (neg.f64 x) | |
cost-diff | 0 | #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)) | |
cost-diff | 0 | (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))) | |
cost-diff | 0 | (log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))) | |
cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
cost-diff | 0 | #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)) | |
cost-diff | 0 | (log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))) | |
cost-diff | 0 | (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
cost-diff | 0 | #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 30 | 194 |
0 | 46 | 194 |
1 | 71 | 194 |
2 | 126 | 194 |
3 | 202 | 194 |
4 | 228 | 194 |
5 | 266 | 194 |
6 | 412 | 194 |
7 | 783 | 194 |
8 | 1366 | 194 |
9 | 1881 | 194 |
10 | 2065 | 194 |
11 | 2111 | 194 |
12 | 2124 | 194 |
13 | 2131 | 194 |
14 | 2131 | 194 |
15 | 2131 | 194 |
16 | 2131 | 194 |
17 | 2134 | 194 |
0 | 2134 | 183 |
1× | iter limit |
1× | saturated |
1× | iter limit |
Inputs |
---|
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
#s(literal 3/40 binary64) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))) |
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))) |
x |
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)) |
(neg.f64 x) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
x |
#s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
Outputs |
---|
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) |
#s(literal 3/40 binary64) |
(*.f64 x x) |
#s(literal -1/6 binary64) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ x (sqrt (+ 1 (* x x)))) (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))) |
(log.f64 (+.f64 #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)) x)) |
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))) |
(+.f64 #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)) x) |
x |
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)) |
(neg.f64 x) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(log.f64 (+.f64 #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x)) |
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(+.f64 #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x) |
x |
#s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
Found 18 expressions of interest:
New | Metric | Score | Program |
---|---|---|---|
accuracy | 0.0078125 | (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) | |
accuracy | 0.158493352772019 | (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) | |
accuracy | 57.35835175203392 | (log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) | |
accuracy | 61.2647734969066 | #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) | |
accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) x) | |
accuracy | 57.35835175203392 | (log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) | |
accuracy | 61.45613097485354 | #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) | |
accuracy | 0.0 | (neg.f64 x) | |
accuracy | 0.158493352772019 | (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))) | |
accuracy | 57.35835175203392 | (log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))) | |
accuracy | 61.116480486419256 | #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)) | |
accuracy | 0.0 | (+.f64 #s(literal 1 binary64) x) | |
accuracy | 2.0083353800444472 | #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)) | |
accuracy | 57.35835175203392 | (log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))) | |
accuracy | 0.0 | (*.f64 x x) | |
accuracy | 0.00390625 | (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) | |
accuracy | 0.029628759768442016 | (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) | |
accuracy | 1.5556572637056107 | #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
189.0ms | 93× | 2 | valid |
86.0ms | 147× | 1 | valid |
3.0ms | 16× | 0 | valid |
Compiled 144 to 21 computations (85.4% saved)
ival-log
: 40.0ms (35.5% of total)ival-hypot
: 17.0ms (15.1% of total)adjust
: 15.0ms (13.3% of total)const
: 12.0ms (10.7% of total)ival-add
: 9.0ms (8% of total)ival-mult
: 7.0ms (6.2% of total)ival-pow
: 5.0ms (4.4% of total)ival-div
: 4.0ms (3.6% of total)ival-sub
: 2.0ms (1.8% of total)exact
: 1.0ms (0.9% of total)ival-neg
: 1.0ms (0.9% of total)ival-assert
: 0.0ms (0% of total)ival-true
: 0.0ms (0% of total)Inputs |
---|
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))) |
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))) |
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)) |
(neg.f64 x) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
#s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(*.f64 x x) |
Outputs |
---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(pow x 3) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(* -1 x) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(pow x 2) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
Time | Variable | Point | Expression | |
---|---|---|---|---|
3.0ms | x | @ | -inf | ((log (+ x (sqrt (+ 1 (* x x))))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (+ 1 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (neg x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (/ -1/2 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (- (/ -1/2 x) x) (* x x)) |
2.0ms | x | @ | inf | ((log (+ x (sqrt (+ 1 (* x x))))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (+ 1 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (neg x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (/ -1/2 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (- (/ -1/2 x) x) (* x x)) |
2.0ms | x | @ | 0 | ((log (+ x (sqrt (+ 1 (* x x))))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (+ 1 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (neg x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (/ -1/2 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (- (/ -1/2 x) x) (* x x)) |
1× | egg-herbie |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 146 | 531 |
1 | 410 | 517 |
2 | 1101 | 509 |
3 | 3348 | 484 |
0 | 8258 | 460 |
1× | iter limit |
1× | node limit |
Inputs |
---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(pow x 3) |
-1/6 |
(- (* 3/40 (pow x 2)) 1/6) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(* -1 x) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(pow x 2) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* 3/40 (pow x 5)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 3/40 (pow x 2)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
Outputs |
---|
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 3/40 (pow x 2)) 1/6) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(pow x 2) |
(*.f64 x x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(* 3/40 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)) |
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* 3/40 (pow x 2)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f64 (+.f64 (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))) |
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))) |
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 30 | 180 |
0 | 46 | 180 |
1 | 171 | 180 |
2 | 1240 | 180 |
0 | 8299 | 169 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(pow.f64 x #s(literal 3 binary64)) |
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))) |
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))) |
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)) |
(neg.f64 x) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
#s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(*.f64 x x) |
Outputs |
---|
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))) |
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 x (neg.f64 (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (+.f64 x (*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 (*.f64 x x)))) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 x)) (*.f64 x (neg.f64 (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (neg.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x x)) x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x x)) (*.f64 x #s(literal -2 binary64)) x) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 x))) |
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x #s(literal -2 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 x) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)) |
(fma.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -2 binary64)))) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 x)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(-.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x)) |
(+.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 x x)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
Compiled 15 082 to 1 942 computations (87.1% saved)
12 alts after pruning (9 fresh and 3 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 468 | 3 | 471 |
Fresh | 1 | 6 | 7 |
Picked | 2 | 3 | 5 |
Done | 0 | 0 | 0 |
Total | 471 | 12 | 483 |
Status | Accuracy | Program |
---|---|---|
10.1% | (log.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) | |
10.2% | (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) | |
10.2% | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) | |
✓ | 1.8% | (log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
3.0% | (log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) | |
✓ | 1.8% | (log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
✓ | 7.1% | (log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))) |
1.4% | (log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (*.f64 #s(literal 2 binary64) x))) | |
97.3% | #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) | |
97.6% | #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) | |
97.6% | #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) | |
6.0% | #s(approx (log (+ x (sqrt (+ 1 (* x x))))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))) |
Compiled 484 to 229 computations (52.7% saved)
Inputs |
---|
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (*.f64 #s(literal 2 binary64) x))) |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(log.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
Outputs |
---|
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
3 calls:
4.0ms | x |
3.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
3.0ms | (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Accuracy | Segments | Branch |
---|---|---|
99.3% | 2 | x |
99.3% | 2 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
99.3% | 2 | (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Compiled 18 to 14 computations (22.2% saved)
Total -62.4b remaining (-4014%)
Threshold costs -62.4b (-4014%)
Inputs |
---|
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x)) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (*.f64 #s(literal 2 binary64) x))) |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64)))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)) |
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
Outputs |
---|
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
3 calls:
3.0ms | x |
3.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
3.0ms | (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Accuracy | Segments | Branch |
---|---|---|
97.6% | 1 | x |
97.6% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
97.6% | 1 | (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Compiled 18 to 14 computations (22.2% saved)
1× | left-value |
Time | Left | Right |
---|---|---|
0.0ms | 0.9886455134052652 | 0.9999698016411299 |
Compiled 12 to 11 computations (8.3% saved)
1× | egg-herbie |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 28 | 74 |
1 | 39 | 74 |
2 | 49 | 74 |
3 | 58 | 74 |
4 | 64 | 74 |
5 | 74 | 74 |
6 | 82 | 74 |
7 | 105 | 74 |
8 | 231 | 74 |
9 | 3757 | 74 |
1× | node limit |
Inputs |
---|
(if (<=.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 4458563631096791/4503599627370496 binary64)) (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
Outputs |
---|
(if (<=.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 4458563631096791/4503599627370496 binary64)) (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))) |
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 125 | 448 |
1 | 353 | 440 |
2 | 938 | 432 |
3 | 2928 | 402 |
4 | 7103 | 402 |
0 | 8159 | 378 |
0 | 7 | 31 |
0 | 12 | 31 |
1 | 44 | 31 |
2 | 301 | 31 |
3 | 3060 | 31 |
0 | 8375 | 27 |
0 | 30 | 180 |
0 | 46 | 180 |
1 | 171 | 180 |
2 | 1240 | 180 |
0 | 8299 | 169 |
1× | fuel |
1× | iter limit |
1× | node limit |
1× | iter limit |
1× | iter limit |
1× | node limit |
1× | iter limit |
1× | iter limit |
1× | node limit |
Compiled 182 to 93 computations (48.9% saved)
Compiled 166 to 72 computations (56.6% saved)
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