(exp (n * log1p (x)) - exp (n * log1p (-x))) / 2

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze32.0ms (0.5%)

Memory
9.5MiB live, 9.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
Compiler

Compiled 34 to 23 computations (32.4% saved)

sample2.1s (34.4%)

Memory
156.3MiB live, 1 148.2MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
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)
Bogosity

explain386.0ms (6.2%)

Memory
-81.7MiB live, 104.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1846(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)))))
20-1(96.91118311514265 0.5022213999263655)(exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))
10-1(72.51570417755863 0.9320709671056662)(exp.f64 (*.f64 n (log1p.f64 x)))
00-0-(log1p.f64 (neg.f64 x))
00-0-n
00-0-(log1p.f64 x)
00-0-#s(literal 2 binary64)
00-0-(*.f64 n (log1p.f64 x))
00-0-(*.f64 n (log1p.f64 (neg.f64 x)))
00-0-(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))
00-0-x
00-0-(neg.f64 x)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))))cancellation18116
exp.f64(exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))sensitivity12
Confusion
Predicted +Predicted -
+1769
-665
Precision
0.967032967032967
Recall
0.9513513513513514
Confusion?
Predicted +Predicted MaybePredicted -
+17690
-6956
Precision?
0.925
Recall?
1.0
Freqs
test
numberfreq
074
1182
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
296.0ms512×0valid
Compiler

Compiled 170 to 40 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 258.0ms
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)

preprocess123.0ms (2%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03789
110169
221569
349969
4101269
5142269
6179669
7203069
8216869
9227369
10237969
11242369
12245369
13249769
14255769
15258169
16258969
01214
02414
14213
25813
37813
410813
514013
620313
727113
836413
943513
1046913
046913
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
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)))
Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.0%
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify13.0ms (0.2%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (*.f64 n (log1p.f64 x)))
cost-diff0
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))))
cost-diff0
(/.f64 (-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))) #s(literal 2 binary64))
cost-diff1
(exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01256
02456
14253
25853
37853
410853
514053
620353
727153
836453
943553
1046953
046953
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
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)

localize37.0ms (0.6%)

Memory
13.1MiB live, 13.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.13468378551488983
(exp.f64 (*.f64 n (log1p.f64 (neg.f64 x))))
accuracy0.2421875
(*.f64 n (log1p.f64 (neg.f64 x)))
accuracy0.2734375
(*.f64 n (log1p.f64 x))
accuracy12.031347641860567
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) (exp.f64 (*.f64 n (log1p.f64 (neg.f64 x)))))
Samples
29.0ms256×0valid
Compiler

Compiled 78 to 14 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
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)

series108.0ms (1.7%)

Memory
-28.9MiB live, 47.8MiB allocated
Counts
6 → 91
Calls
Call 1
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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Calls

6 calls:

TimeVariablePointExpression
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)))))

simplify192.0ms (3.1%)

Memory
50.7MiB live, 50.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05393726
116833249
259032746
081582443
Stop Event
iter limit
node limit
Counts
91 → 91
Calls
Call 1
Inputs
1
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(+ (* -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)))))
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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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(* 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))))))
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(+ (* -1 (* n (log (/ -1 x)))) (* -1 (/ n x)))
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Outputs
1
#s(literal 1 binary64)
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(fma.f64 (log1p.f64 (neg.f64 x)) n #s(literal 1 binary64))
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(* 1/2 (* n (- (log (+ 1 x)) (log (- 1 x)))))
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(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))))))
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(- (+ (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)))
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(+ (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))
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(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
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(*.f64 n (-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))))
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rewrite164.0ms (2.7%)

Memory
-29.4MiB live, 48.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01246
02448
18544
254842
3585842
0879042
Stop Event
iter limit
node limit
iter limit
Counts
6 → 463
Calls
Call 1
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)))
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eval56.0ms (0.9%)

Memory
46.9MiB live, 46.9MiB allocated
Compiler

Compiled 16 613 to 1 770 computations (89.3% saved)

prune80.0ms (1.3%)

Memory
-80.7MiB live, 28.4MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New45020470
Fresh000
Picked011
Done000
Total45021471
Accuracy
99.7%
Counts
471 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
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))
Compiler

Compiled 1 694 to 1 106 computations (34.7% saved)

simplify163.0ms (2.6%)

Memory
50.1MiB live, 50.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (*.f64 n (log1p.f64 x)))
cost-diff0
(-.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-diff0
(/.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-diff1
(*.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-diff0
(exp.f64 (*.f64 n (log1p.f64 x)))
cost-diff0
(-.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-diff0
(/.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-diff1
(fma.f64 (*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x (neg.f64 n))
cost-diff0
(*.f64 n (log1p.f64 x))
cost-diff0
(exp.f64 (*.f64 n (log1p.f64 x)))
cost-diff0
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64)))
cost-diff0
(/.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-diff0
(*.f64 x n)
cost-diff0
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n))
cost-diff2
(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-diff2
(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-diff5
(-.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-diff5
(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)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231924
02221915
14491898
212081834
363231813
080491734
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
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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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))))))
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#s(literal 1/2 binary64)
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(*.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)

localize540.0ms (8.7%)

Memory
-40.6MiB live, 264.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(*.f64 n (log1p.f64 x))
accuracy0.3125
(log1p.f64 (fma.f64 x x x))
accuracy0.92885739229359
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) n)
accuracy12.027441391860567
(-.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))))
accuracy0.26953125
(*.f64 n (log1p.f64 x))
accuracy0.3515625
(*.f64 n (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
accuracy11.195574932001794
#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))
accuracy12.027441391860567
(-.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))))
accuracy0.10236757271092109
(exp.f64 (*.f64 n (log1p.f64 x)))
accuracy0.26953125
(*.f64 n (log1p.f64 x))
accuracy12.027441391860567
(-.f64 (exp.f64 (*.f64 n (log1p.f64 x))) #s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64)))
accuracy38.44562822486238
#s(approx (exp (* n (log (+ 1 (neg x))))) #s(literal 1 binary64))
accuracy0.0
(*.f64 x n)
accuracy20.958278663949034
#s(approx (/ (- (exp (* n (log (+ 1 x)))) (exp (* n (log (+ 1 (neg x)))))) 2) (*.f64 x n))
accuracy2.225139784520996
(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)))))
accuracy2.4097911947754063
(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))))))))))
accuracy3.8032765350561215
(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)))))))
accuracy4.541074500498453
#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))
Samples
322.0ms255×0valid
4.0ms5exit
Compiler

Compiled 1 995 to 140 computations (93% saved)

Precisions
Click to see histograms. Total time spent on operations: 273.0ms
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)

series131.0ms (2.1%)

Memory
16.4MiB live, 90.0MiB allocated
Counts
24 → 234
Calls
Call 1
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))))))))))))))))
(* x (- n (* -1 n)))
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Calls

6 calls:

TimeVariablePointExpression
39.0ms
n
@-inf
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29.0ms
n
@0
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24.0ms
x
@inf
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19.0ms
n
@inf
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6.0ms
x
@0
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simplify185.0ms (3%)

Memory
-19.6MiB live, 59.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011819172
138438125
081947263
Stop Event
iter limit
node limit
Counts
234 → 233
Calls
Call 1
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))))
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(* n (+ 1/5 (* n (- (* n (+ 7/24 (* -1/12 n))) 5/12))))
(* 5/12 (pow n 2))
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(* (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))))))
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(* 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))))))))))
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(exp (* -3 (* n (log (/ -1 x)))))
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(+ (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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(exp (* -1 (* n (log (/ -1 x)))))
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(+ (exp (* -1 (* n (log (/ -1 x))))) (* -1 (/ (* n (exp (* -1 (* n (log (/ -1 x)))))) 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 (* n (log (/ -1 x))))
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(* -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))))
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(* -2 (log (/ -1 x)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64))
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(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)))

rewrite195.0ms (3.1%)

Memory
69.9MiB live, 69.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123567
0222559
1984511
08347506
Stop Event
iter limit
node limit
iter limit
Counts
24 → 357
Calls
Call 1
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)))))
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(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))
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(/.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))
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(/.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))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) n #s(literal -1/2 binary64)) (*.f64 n n)) #s(literal 2 binary64)) (*.f64 (*.f64 n (-.f64 #s(literal 2/3 binary64) (*.f64 n (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64))))) (*.f64 n (-.f64 #s(literal 2/3 binary64) (*.f64 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)) (*.f64 n n)) (*.f64 n (-.f64 #s(literal 2/3 binary64) (*.f64 n (fma.f64 #s(literal -1/6 binary64) n #s(literal 1/2 binary64)))))))
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(/.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)))

eval326.0ms (5.3%)

Memory
-237.5MiB live, 100.1MiB allocated
Compiler

Compiled 68 732 to 4 978 computations (92.8% saved)

prune62.0ms (1%)

Memory
52.9MiB live, 52.9MiB allocated
Pruning

46 alts after pruning (42 fresh and 4 done)

PrunedKeptTotal
New63230662
Fresh31215
Picked235
Done011
Total63746683
Accuracy
99.8%
Counts
683 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
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))
Compiler

Compiled 5 874 to 2 286 computations (61.1% saved)

regimes48.0ms (0.8%)

Memory
-65.3MiB live, 26.7MiB allocated
Counts
51 → 2
Calls
Call 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))
#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))))
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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 (-.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))
#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))
Calls

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))
Results
AccuracySegmentsBranch
92.5%1n
99.3%2x
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)))))
Compiler

Compiled 28 to 26 computations (7.1% saved)

regimes29.0ms (0.5%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
47 → 2
Calls
Call 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))
#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))
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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 (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))
Calls

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
Results
AccuracySegmentsBranch
99.2%2x
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)))))
Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes30.0ms (0.5%)

Memory
24.1MiB live, 24.1MiB allocated
Counts
45 → 2
Calls
Call 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))
#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))
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))
Calls

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))
Results
AccuracySegmentsBranch
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%2x
Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes22.0ms (0.4%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
35 → 2
Calls
Call 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))
#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))
Calls

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
Results
AccuracySegmentsBranch
98.2%2x
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)))))
Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes12.0ms (0.2%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
26 → 2
Calls
Call 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))
#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))
Calls

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)))))
Results
AccuracySegmentsBranch
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)))))
Compiler

Compiled 26 to 22 computations (15.4% saved)

regimes16.0ms (0.3%)

Memory
-68.5MiB live, 10.7MiB allocated
Counts
20 → 2
Calls
Call 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))
#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))
Calls

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
Results
AccuracySegmentsBranch
97.6%2x
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)))))
Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes11.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
15 → 2
Calls
Call 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))
#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)))
Calls

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
Results
AccuracySegmentsBranch
97.1%2x
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)))))
Compiler

Compiled 27 to 24 computations (11.1% saved)

regimes9.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
7 → 1
Calls
Call 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))
#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))
Calls

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
Results
AccuracySegmentsBranch
84.1%1n
84.1%1x
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)))))
Compiler

Compiled 28 to 26 computations (7.1% saved)

regimes5.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Accuracy

Total -30.9b remaining (-146.1%)

Threshold costs -30.9b (-146.1%)

Counts
2 → 1
Calls
Call 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))
Calls

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
Results
AccuracySegmentsBranch
66.9%1n
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%1x
Compiler

Compiled 28 to 26 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.17639999157995634
0.17981225713544602
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch15.0ms (0.2%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.0017397597195075738
0.003709098569908664
Samples
8.0ms80×0valid
Compiler

Compiled 1 096 to 712 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
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)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.027063725096082347
0.029918965274635445
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.003318361662679181
0.003758928244401938
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.003318361662679181
0.003758928244401938
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.005563455097558623
0.0060735224080319394
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.005213615799500748
0.005563455097558623
Compiler

Compiled 17 to 17 computations (0% saved)

simplify72.0ms (1.2%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0203964
1304924
2524920
31395916
41916916
52241916
64051916
Stop Event
node limit
Calls
Call 1
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))

soundness906.0ms (14.6%)

Memory
-42.4MiB live, 32.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01246
02448
18544
254842
3585842
0879042
011819172
138438125
081947263
0123567
0222559
1984511
08347506
05393726
116833249
259032746
081582443
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 039 to 264 computations (74.6% saved)

preprocess90.0ms (1.5%)

Memory
48.8MiB live, 48.8MiB allocated
Remove

(negabs x)

Compiler

Compiled 2 420 to 720 computations (70.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...