qlog (example 3.10)

Time bar (total: 7.3s)

analyze324.0ms (4.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
0%0%50%50%0%0%0%3
0%0%50%50%0%0%0%4
6.3%3.1%46.8%50%0%0%0%5
9.4%4.7%45.3%50%0%0%0%6
10.9%5.5%44.5%50%0%0%0%7
11.7%5.9%44.1%50%0%0%0%8
12.1%6%43.9%50%0%0%0%9
12.3%6.1%43.8%50%0%0%0%10
12.4%6.2%43.8%50%0%0%0%11
12.5%6.2%43.7%50%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.3s (73%)

Results
3.8s4132×body1024valid
795.0ms2039×body512valid
523.0ms437×body2048valid
255.0ms1648×body256valid
Bogosity

preprocess320.0ms (4.4%)

Algorithm
egg-herbie
Rules
4580×fma-def
3900×associate-+r+
3404×associate-+l+
504×distribute-lft-out
358×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01648
12838
24338
37438
411338
515738
618538
721038
824138
933838
1040438
1147838
1252338
1353138
1453338
1575538
16101638
17114938
18131338
19131938
20131938
21214338
22239838
23264638
24277938
25279438
26279438
27454838
28454838
29454838
30454838
31454838
32775138
33780038
34798238
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×sub-neg
12×fma-def
10×+-commutative
associate-+l-
associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

eval1.0ms (0%)

Compiler

Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
100.0%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize29.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 16 to 6 computations (62.5% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
2.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite56.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1218×pow1
1116×add-exp-log
1116×log1p-expm1-u
1116×expm1-log1p-u
1088×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
116415
2215615
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Outputs
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))

simplify57.0ms (0.8%)

Algorithm
egg-herbie
Rules
1172×associate-/r*
1032×fma-def
852×times-frac
590×associate-/l*
574×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01882430
15862216
217722030
Stop Event
node limit
Counts
42 → 73
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3)))) -1)
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(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (*.f64 x x)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x) (neg.f64 (/.f64 (-.f64 (/.f64 1/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))) (pow.f64 x 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 -1/2 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 3)) (/.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
1
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
1
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
1
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
1
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
1
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
1
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
1
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
1
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
1
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
1
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1

eval54.0ms (0.7%)

Compiler

Compiled 3252 to 2322 computations (28.6% saved)

prune13.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New68573
Fresh000
Picked011
Done000
Total68674
Accurracy
100.0%
Counts
74 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.5%
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
98.6%
(-.f64 -1 x)
99.2%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
97.3%
-1
99.2%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.5%
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
98.6%
(-.f64 -1 x)
99.2%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
97.3%
-1
Compiler

Compiled 100 to 76 computations (24% saved)

localize144.0ms (2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(*.f64 -1/2 (pow.f64 x 2))
100.0%
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
99.9%
(*.f64 -5/12 (pow.f64 x 3))
Compiler

Compiled 115 to 79 computations (31.3% saved)

series4.0ms (0.1%)

Counts
4 → 20
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 -5/12 (pow.f64 x 3))
0.0ms
x
@0
(*.f64 -5/12 (pow.f64 x 3))
0.0ms
x
@0
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
0.0ms
x
@inf
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
0.0ms
x
@-inf
(*.f64 -5/12 (pow.f64 x 3))

rewrite96.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1880×fma-def
698×fma-neg
646×expm1-udef
638×log1p-udef
408×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01982
142576
2546676
Stop Event
node limit
Counts
4 → 162
Calls
Call 1
Inputs
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)))) 1)
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))) (/.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))
(*.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)) 1)
(*.f64 1 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) 2) (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))))
(*.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4)))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (+.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/2 (*.f64 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3))) (neg.f64 (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2))) (neg.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728)) (fma.f64 (fma.f64 x (*.f64 x -1/2) x) (fma.f64 x (*.f64 x -1/2) x) (-.f64 (*.f64 (pow.f64 x 6) 25/144) (*.f64 (fma.f64 x (*.f64 x -1/2) x) (*.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (*.f64 1/4 (pow.f64 x 4))) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) x) (fma.f64 x (*.f64 x -1/2) x)) (*.f64 (pow.f64 x 6) 25/144)) (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)))
(pow.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) 3)
(pow.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)) 2))
(log.f64 (exp.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)) (exp.f64 (fma.f64 x (*.f64 x -1/2) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)) (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))) (exp.f64 (fma.f64 x (*.f64 x -1/2) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))) (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (exp.f64 x) (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (fma.f64 -5/12 (pow.f64 x 3) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (/.f64 (exp.f64 x) (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 -5/12) (pow.f64 x 3))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 -5/12) (pow.f64 x 3))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)) (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3))))))
(log.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 x)) (pow.f64 (exp.f64 -5/12) (pow.f64 x 3))))
(log.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 x)) (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))))
(exp.f64 (log.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x -1 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 x 1 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 x (*.f64 (*.f64 x x) -5/12) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (pow.f64 x 3) -5/12 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (*.f64 -5/12 (pow.f64 x 3)) 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (*.f64 x x) (*.f64 x -5/12) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 1 (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x -1/2) x (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (*.f64 x (cbrt.f64 -5/12)) (pow.f64 (*.f64 x (cbrt.f64 -5/12)) 2) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -5/12)) 2) (*.f64 x (cbrt.f64 -5/12)) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (/.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -5/12) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (fma.f64 (pow.f64 x 6) 25/144 (*.f64 (pow.f64 x 4) -5/12)))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (fma.f64 x (*.f64 x -1/2) x) 1 (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x))) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x -1/2))) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12))) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (cbrt.f64 (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(fma.f64 (*.f64 -5/12 x) (*.f64 x x) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (*.f64 -5/12 (*.f64 x x)) x (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (*.f64 -5/12 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 x (*.f64 x -1/2) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1))
(+.f64 (+.f64 x -1) (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))) 1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 1)
(*.f64 1 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (+.f64 x -1) 3)) (fma.f64 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))
(pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (+.f64 x -1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))

simplify92.0ms (1.3%)

Algorithm
egg-herbie
Rules
1046×unswap-sqr
776×cancel-sign-sub-inv
604×associate-+r+
594×fma-neg
552×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03725850
19235720
229275606
Stop Event
node limit
Counts
182 → 223
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
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(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1))
(+.f64 (+.f64 x -1) (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))) 1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 1)
(*.f64 1 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (+.f64 x -1) 3)) (fma.f64 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))
(pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (+.f64 x -1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3/2) 6) -125/1728))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2)
(*.f64 -5/12 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(*.f64 -5/12 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3/2) 6) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -5/12 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -5/12 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))) 1))
(*.f64 -5/12 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -5/12 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)))) 1)
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))) (/.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (fma.f64 x (*.f64 x 1/2) (fma.f64 -5/12 (pow.f64 x 3) x)))
(*.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)) 1)
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))
(*.f64 1 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) 2))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) 2) (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) x))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) 1) (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 (*.f64 x x) 1/2)) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 x (*.f64 x 1/2) (fma.f64 -5/12 (pow.f64 x 3) x)))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (fma.f64 x (*.f64 x 1/2) (fma.f64 -5/12 (pow.f64 x 3) x)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) 1) (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 (*.f64 x x) 1/2)) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 x (*.f64 x 1/2) (fma.f64 -5/12 (pow.f64 x 3) x)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2)) (fma.f64 x (*.f64 x 1/2) (fma.f64 -5/12 (pow.f64 x 3) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) 1) (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 (*.f64 x x) 1/2)) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 x (*.f64 x 1/2) (fma.f64 -5/12 (pow.f64 x 3) x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (+.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/2 (*.f64 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) 1) (fma.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (*.f64 x (*.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))))
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(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 (+.f64 x -1) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))) 1)
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(*.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 1)
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(*.f64 1 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 2)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))) (cbrt.f64 (pow.f64 (+.f64 -1 (fma.f64 x (*.f64 x -1/2) x)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))) (cbrt.f64 (pow.f64 (+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))) (cbrt.f64 (pow.f64 (+.f64 -1 (fma.f64 x (*.f64 x -1/2) x)) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))) (cbrt.f64 (pow.f64 (+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x)) 2)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (+.f64 x -1) 3)) (fma.f64 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (+.f64 -1 x) 3)) (fma.f64 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 x (*.f64 (*.f64 x -1/2) (+.f64 -1 x))))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (+.f64 -1 x) 3)) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (+.f64 -1 x) (-.f64 (+.f64 -1 x) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (+.f64 -1 x) 3)) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (+.f64 -1 x) (+.f64 (+.f64 -1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 x -1) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 -1 x) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 x)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 -1 x) 2)) (+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (+.f64 -1 x) 2)) (-.f64 (fma.f64 -1/2 (*.f64 x x) 1) x))
(pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 1)
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) 3)
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 3) 1/3)
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) 2)
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 2))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (+.f64 x -1))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1)) 3))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))) 1))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 x -1))))
(fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))
(+.f64 -1 (fma.f64 x (*.f64 x -1/2) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))

eval88.0ms (1.2%)

Compiler

Compiled 4261 to 3119 computations (26.8% saved)

prune32.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2212223
Fresh011
Picked314
Done011
Total2245229
Accurracy
100.0%
Counts
229 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.5%
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) 1)
99.2%
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
98.6%
(-.f64 -1 x)
97.3%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.5%
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) 1)
99.2%
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
98.6%
(-.f64 -1 x)
97.3%
-1
Compiler

Compiled 74 to 54 computations (27% saved)

localize66.0ms (0.9%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
99.6%
(*.f64 x -5/12)
Compiler

Compiled 77 to 48 computations (37.7% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
0.0ms
x
@0
(*.f64 x -5/12)
0.0ms
x
@-inf
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
0.0ms
x
@0
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
0.0ms
x
@inf
(*.f64 x -5/12)

rewrite69.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
916×log-prod
778×prod-exp
682×exp-prod
662×prod-diff
638×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
120228
2259928
Stop Event
node limit
Counts
2 → 97
Calls
Call 1
Inputs
(*.f64 x -5/12)
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
Outputs
(+.f64 0 (*.f64 x -5/12))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(pow.f64 (*.f64 x -5/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(pow.f64 (*.f64 (*.f64 x x) 25/144) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -125/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x -5/12)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -5/12))) 2)) (cbrt.f64 (log.f64 (*.f64 x -5/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x -5/12)))) (sqrt.f64 (log.f64 (*.f64 x -5/12))))
(sqrt.f64 (*.f64 (*.f64 x x) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(exp.f64 (log.f64 (*.f64 x -5/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -5/12))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -5/12))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -5/12))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 0 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(+.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 25/144 -1/4)) (fma.f64 x -5/12 1/2))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) 25/144 -1/4) (*.f64 x x)) (fma.f64 x -5/12 1/2))
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (*.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 2 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 (*.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 x (*.f64 x (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x -5/12) (*.f64 x x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) (*.f64 x -5/12) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) -1/2 (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -5/12 (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -5/12 (pow.f64 x 3)) 1 (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -1/2 x) x (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (*.f64 x -5/12) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -5/12))) 2) (cbrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))

simplify80.0ms (1.1%)

Algorithm
egg-herbie
Rules
1146×fma-def
658×fma-neg
520×*-commutative
502×sqr-pow
378×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02613037
16222551
215782513
352932513
Stop Event
node limit
Counts
121 → 133
Calls
Call 1
Inputs
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 0 (*.f64 x -5/12))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(pow.f64 (*.f64 x -5/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(pow.f64 (*.f64 (*.f64 x x) 25/144) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -125/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x -5/12)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -5/12))) 2)) (cbrt.f64 (log.f64 (*.f64 x -5/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x -5/12)))) (sqrt.f64 (log.f64 (*.f64 x -5/12))))
(sqrt.f64 (*.f64 (*.f64 x x) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(exp.f64 (log.f64 (*.f64 x -5/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -5/12))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -5/12))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -5/12))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 0 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(+.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 25/144 -1/4)) (fma.f64 x -5/12 1/2))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) 25/144 -1/4) (*.f64 x x)) (fma.f64 x -5/12 1/2))
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (*.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 2 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 (*.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 x (*.f64 x (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x -5/12) (*.f64 x x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) (*.f64 x -5/12) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) -1/2 (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -5/12 (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -5/12 (pow.f64 x 3)) 1 (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -1/2 x) x (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (*.f64 x -5/12) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -5/12))) 2) (cbrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))
Outputs
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
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(exp.f64 (+.f64 (log.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (log.f64 x) 2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (*.f64 2 (log.f64 x)) 1)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 2 (log.f64 x))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 (log.f64 x) 2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 (*.f64 2 (log.f64 x)) 1)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(exp.f64 (+.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 (log.f64 x) 1)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 x (*.f64 x (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 x -5/12) (*.f64 x x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 x x) (*.f64 x -5/12) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 x x) -1/2 (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 (*.f64 -5/12 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 -5/12 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 -5/12 x) (cbrt.f64 x)))))
(*.f64 x (+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 -5/12 x) (cbrt.f64 x))) (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 -1/2 (cbrt.f64 x)))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x -1/2) (cbrt.f64 x))))
(fma.f64 (pow.f64 x 3) -5/12 (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 -5/12 (pow.f64 x 3)) 1 (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 -1/2 x) x (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 (*.f64 x -5/12) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 (*.f64 -5/12 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 -5/12 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 -5/12 x) (cbrt.f64 x)))))
(*.f64 x (+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 -5/12 x) (cbrt.f64 x))) (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -5/12))) 2) (cbrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 -1/2 (cbrt.f64 x)))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x -1/2) (cbrt.f64 x))))

eval54.0ms (0.7%)

Compiler

Compiled 2551 to 1774 computations (30.5% saved)

prune20.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1330133
Fresh011
Picked022
Done022
Total1335138
Accurracy
100.0%
Counts
138 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.5%
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) 1)
99.2%
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
98.6%
(-.f64 -1 x)
97.3%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.5%
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) 1)
99.2%
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
98.6%
(-.f64 -1 x)
97.3%
-1
Compiler

Compiled 74 to 54 computations (27% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.5%
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) 1)
99.2%
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
98.6%
(-.f64 -1 x)
97.3%
-1
Compiler

Compiled 113 to 80 computations (29.2% saved)

regimes11.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

5.0ms
x
3.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 88 to 62 computations (29.5% saved)

regimes7.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
Outputs
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) 1)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
Outputs
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
Outputs
(-.f64 -1 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.3%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
18×+-commutative
14×sub-neg
12×*-commutative
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02389
13889
24789
35589
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) 1)
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) 1)
(+.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)) x) -1)
(-.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 1)
(+.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) -1)
(-.f64 -1 x)
-1
Compiler

Compiled 37 to 27 computations (27% saved)

soundness268.0ms (3.7%)

Rules
1172×associate-/r*
1046×unswap-sqr
1046×unswap-sqr
1032×fma-def
852×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
01882430
15862216
217722030
03725850
19235720
229275606
03725850
19235720
229275606
Stop Event
node limit
node limit
node limit
saturated
Compiler

Compiled 399 to 283 computations (29.1% saved)

end52.0ms (0.7%)

Compiler

Compiled 120 to 88 computations (26.7% saved)

Profiling

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