Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G

Time bar (total: 2.0s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample797.0ms (40.5%)

Results
765.0ms8256×body256valid
Bogosity

preprocess16.0ms (0.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01118
12016
23014
34114
44914
56014
67414
77814
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 1 3))
(-.f64 (neg.f64 x) (/.f64 1 3))
Outputs
(-.f64 x (/.f64 1 3))
(+.f64 x -1/3)
(-.f64 (neg.f64 x) (/.f64 1 3))
(+.f64 (neg.f64 x) -1/3)
(fma.f64 -1 x -1/3)
(-.f64 -1/3 x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp
sub-neg
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1147
2157
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 x (/.f64 1 3))
Outputs
(-.f64 x (/.f64 1 3))
(+.f64 x -1/3)

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Accurracy
100.0%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x -1/3)
100.0%
(+.f64 x -1/3)
Compiler

Compiled 8 to 6 computations (25% saved)

localize18.0ms (0.9%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 x -1/3)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 x -1/3)
0.0ms
x
@0
(+.f64 x -1/3)
0.0ms
x
@-inf
(+.f64 x -1/3)

rewrite53.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1142×pow1
1068×add-exp-log
1068×log1p-expm1-u
1068×expm1-log1p-u
1050×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11117
213927
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(+.f64 x -1/3)
Outputs
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)

simplify46.0ms (2.4%)

Algorithm
egg-herbie
Rules
1702×fma-def
1262×distribute-rgt-in
1238×distribute-lft-in
612×associate-*r*
554×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080646
1189586
2586490
33159490
Stop Event
node limit
Counts
42 → 37
Calls
Call 1
Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.f64 -1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 -1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 -1/3 x)
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)

eval9.0ms (0.5%)

Compiler

Compiled 309 to 228 computations (26.2% saved)

prune8.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New32537
Fresh000
Picked011
Done000
Total32638
Accurracy
100.0%
Counts
38 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
99.2%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
100.0%
(+.f64 x -1/3)
73.4%
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
51.5%
x
50.4%
-1/3
66.3%
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
99.2%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
100.0%
(+.f64 x -1/3)
73.4%
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
51.5%
x
50.4%
-1/3
Compiler

Compiled 76 to 60 computations (21.1% saved)

localize109.0ms (5.5%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 x x) (*.f64 x -1/3))
100.0%
(+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3)))
99.6%
(*.f64 x -1/3)
82.7%
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
100.0%
(+.f64 x -1/3)
99.3%
(+.f64 1 (+.f64 x -1/3))
99.2%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
100.0%
(log1p.f64 (+.f64 x -1/3))
100.0%
(+.f64 x -1/3)
96.9%
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
Compiler

Compiled 84 to 57 computations (32.1% saved)

series5.0ms (0.2%)

Counts
8 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
1.0ms
x
@0
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
1.0ms
x
@inf
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
1.0ms
x
@inf
(*.f64 x -1/3)
0.0ms
x
@inf
(log1p.f64 (+.f64 x -1/3))

rewrite130.0ms (6.6%)

Algorithm
batch-egg-rewrite
Rules
1120×fma-neg
704×expm1-udef
698×log1p-udef
446×add-sqr-sqrt
428×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02184
148474
2631974
Stop Event
node limit
Counts
8 → 454
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(log1p.f64 (+.f64 x -1/3))
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 1 (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(*.f64 x -1/3)
(+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3)))
(-.f64 (*.f64 x x) (*.f64 x -1/3))
Outputs
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 x 1) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
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(fma.f64 x x (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (*.f64 x x) (+.f64 1/9 (*.f64 x 1/3)))
(fma.f64 1 (*.f64 x x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 1 (+.f64 1/9 (*.f64 x x)) (*.f64 x 1/3))
(fma.f64 (*.f64 x x) 1 (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (+.f64 1/9 (*.f64 x 1/3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 1/9)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1/9 (*.f64 x x))) (cbrt.f64 (+.f64 1/9 (*.f64 x x)))) (cbrt.f64 (+.f64 1/9 (*.f64 x x))) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 (+.f64 1/9 (*.f64 x x))) (sqrt.f64 (+.f64 1/9 (*.f64 x x))) (*.f64 x 1/3))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(+.f64 (*.f64 x x) (*.f64 x 1/3))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x 1/3) 1))
(+.f64 (*.f64 x x) (+.f64 (*.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3))))
(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))
(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 (neg.f64 x) -1/3 (*.f64 x -1/3)))
(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (cbrt.f64 (pow.f64 (*.f64 x -1/3) 2)) (*.f64 x -1/3)))
(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3)))
(+.f64 (*.f64 x (+.f64 x 1/3)) (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 1))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))
(+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (*.f64 x (+.f64 x 1/3)))
(+.f64 (*.f64 x 1/3) (*.f64 x x))
(*.f64 x (+.f64 x 1/3))
(*.f64 1 (*.f64 x (+.f64 x 1/3)))
(*.f64 (*.f64 x (+.f64 x 1/3)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(*.f64 (+.f64 x 1/3) x)
(*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2)) (/.f64 1 (*.f64 x (+.f64 x -1/3))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3)) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2)) (*.f64 x (+.f64 x -1/3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2))) (neg.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x 1/3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (*.f64 (*.f64 x x) (*.f64 x 1/3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (-.f64 (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))) (*.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x 1/3))) (-.f64 (*.f64 x x) (*.f64 x 1/3)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))) (-.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))
(pow.f64 (*.f64 x (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 1/3))))
(fma.f64 x x (*.f64 x 1/3))
(fma.f64 x x (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 1 (*.f64 x x) (*.f64 x 1/3))
(fma.f64 1 (*.f64 x x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (*.f64 x x) 1 (*.f64 x 1/3))
(fma.f64 (*.f64 x x) 1 (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/3))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))

simplify166.0ms (8.4%)

Algorithm
egg-herbie
Rules
1776×fma-neg
772×fma-def
618×associate-*r*
574×associate-*l*
552×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067812878
1169911684
2738511658
Stop Event
node limit
Counts
550 → 459
Calls
Call 1
Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (+.f64 (*.f64 -9/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 (log.f64 2/3) (+.f64 (*.f64 -9/8 (pow.f64 x 2)) (+.f64 (*.f64 3/2 x) (*.f64 9/8 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2/3 (/.f64 1 x))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 8/81 (/.f64 1 (pow.f64 x 3))) (*.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2/3 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 8/81 (/.f64 1 (pow.f64 x 3))) (*.f64 2/3 (/.f64 1 x))))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(*.f64 1/3 x)
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 x 1) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (/.f64 (+.f64 (pow.f64 x 3) -1/27) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (/.f64 (+.f64 (pow.f64 x 3) -1/27) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))) (+.f64 1/81 (*.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
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(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (cbrt.f64 (pow.f64 (*.f64 x -1/3) 2)) (*.f64 x -1/3)))
(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3)))
(+.f64 (*.f64 x (+.f64 x 1/3)) (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 1))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))
(+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (*.f64 x (+.f64 x 1/3)))
(+.f64 (*.f64 x 1/3) (*.f64 x x))
(*.f64 x (+.f64 x 1/3))
(*.f64 1 (*.f64 x (+.f64 x 1/3)))
(*.f64 (*.f64 x (+.f64 x 1/3)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(*.f64 (+.f64 x 1/3) x)
(*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2)) (/.f64 1 (*.f64 x (+.f64 x -1/3))))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3)) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2)) (*.f64 x (+.f64 x -1/3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2))) (neg.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x 1/3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (*.f64 (*.f64 x x) (*.f64 x 1/3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (-.f64 (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))) (*.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x 1/3))) (-.f64 (*.f64 x x) (*.f64 x 1/3)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))) (-.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))
(pow.f64 (*.f64 x (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 1/3))))
(fma.f64 x x (*.f64 x 1/3))
(fma.f64 x x (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 1 (*.f64 x x) (*.f64 x 1/3))
(fma.f64 1 (*.f64 x x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (*.f64 x x) 1 (*.f64 x 1/3))
(fma.f64 (*.f64 x x) 1 (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/3))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (*.f64 x 3/2))
(fma.f64 x 3/2 (log.f64 2/3))
(+.f64 (log.f64 2/3) (+.f64 (*.f64 -9/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (*.f64 x x) (*.f64 x 3/2)))
(+.f64 (log.f64 2/3) (fma.f64 x 3/2 (*.f64 -9/8 (*.f64 x x))))
(+.f64 (log.f64 2/3) (+.f64 (*.f64 -9/8 (pow.f64 x 2)) (+.f64 (*.f64 3/2 x) (*.f64 9/8 (pow.f64 x 3)))))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (*.f64 x x) (fma.f64 3/2 x (*.f64 9/8 (pow.f64 x 3)))))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (*.f64 x x) (fma.f64 9/8 (pow.f64 x 3) (*.f64 x 3/2))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2/3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x))
(+.f64 (/.f64 2/3 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2/3 (/.f64 1 x))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x)) (/.f64 2/9 (*.f64 x x)))
(+.f64 (/.f64 -2/9 (*.f64 x x)) (+.f64 (/.f64 2/3 x) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 8/81 (/.f64 1 (pow.f64 x 3))) (*.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3)))) (/.f64 2/9 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -2/9 (*.f64 x x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2/3 (/.f64 1 x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2/3 x) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 2/3 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2/3 x) (log.f64 -1))) (/.f64 2/9 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 2/3 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -2/9 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 8/81 (/.f64 1 (pow.f64 x 3))) (*.f64 2/3 (/.f64 1 x))))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3)))) (/.f64 2/9 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 2/3 x) (-.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 2/9 (*.f64 x x)))))
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
2/3
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (*.f64 x 1/3))
(fma.f64 x 1/3 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (-.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (-.f64 x -1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (-.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (-.f64 x -1/3) 1/9)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (-.f64 x -1/3) 1/9)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (-.f64 x -1/3) 1/9)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 -1/3 x)
(+.f64 1 (+.f64 x -4/3))
(+.f64 -1/3 x)
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 -1/3 x)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(+.f64 (+.f64 x 1) -4/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 -1/3 x)
(-.f64 (+.f64 x 2/3) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(+.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))) (/.f64 -1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(fma.f64 (/.f64 x (+.f64 x 1/3)) x (/.f64 -1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (/.f64 1 (+.f64 x 5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (/.f64 -1 (+.f64 x 5/3)))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (-.f64 x -1/3) 1/9))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
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(fabs.f64 (*.f64 -1/3 x))
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(-.f64 (+.f64 1/9 (*.f64 x x)) (*.f64 x -1/3))
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(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 (neg.f64 x) -1/3 (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (cbrt.f64 (pow.f64 (*.f64 x -1/3) 2)) (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/3 x))) (cbrt.f64 (pow.f64 (*.f64 -1/3 x) 2)) (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/3 x))) (cbrt.f64 (*.f64 x (*.f64 x 1/9))) (*.f64 -1/3 x)))
(+.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(+.f64 (*.f64 x (+.f64 x 1/3)) (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 1))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(+.f64 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))
(fma.f64 x (+.f64 x 1/3) (*.f64 2 (fma.f64 1/3 x (*.f64 -1/3 x))))
(fma.f64 2 (*.f64 x 0) (*.f64 x (-.f64 x -1/3)))
(+.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (*.f64 x (+.f64 x 1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(+.f64 (*.f64 x 1/3) (*.f64 x x))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(*.f64 1 (*.f64 x (+.f64 x 1/3)))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(*.f64 (*.f64 x (+.f64 x 1/3)) 1)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 x (-.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 x (-.f64 x -1/3))))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x)) (pow.f64 x 4)))
(*.f64 (+.f64 x 1/3) x)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2)) (/.f64 1 (*.f64 x (+.f64 x -1/3))))
(*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 -1/3 x) 2)) (/.f64 1 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(*.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2))))
(*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 -1/3 x) 2)) (/.f64 1 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3)) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2)) (*.f64 x (+.f64 x -1/3)))
(*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 -1/3 x) 2)) (/.f64 1 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -1/3) 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x)) (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -1/3) 2))) (neg.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 -1/3 x) 2))) (*.f64 (neg.f64 x) (+.f64 -1/3 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9))) (*.f64 x (-.f64 1/3 x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x 1/3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x 1/3) (*.f64 x 1/3)) (*.f64 (*.f64 x x) (*.f64 x 1/3)))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (*.f64 x (*.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (*.f64 (*.f64 -1/3 x) (+.f64 -1/3 x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (-.f64 (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))) (*.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 1/3 x (*.f64 -1/3 x)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (*.f64 (fma.f64 1/3 x (*.f64 -1/3 x)) (-.f64 (fma.f64 1/3 x (*.f64 -1/3 x)) (*.f64 x (+.f64 x 1/3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x -1/3)) 3) (pow.f64 (*.f64 x 0) 3)) (fma.f64 (*.f64 x 0) (-.f64 (*.f64 x 0) (*.f64 x (-.f64 x -1/3))) (pow.f64 (*.f64 x (-.f64 x -1/3)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x -1/3)) 3) (pow.f64 (*.f64 x 0) 3)) (fma.f64 (*.f64 x 0) (fma.f64 x 0 (*.f64 x (-.f64 -1/3 x))) (pow.f64 (*.f64 x (-.f64 x -1/3)) 2)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/3) (*.f64 x 1/3))) (-.f64 (*.f64 x x) (*.f64 x 1/3)))
(*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 -1/3 x) 2)) (/.f64 1 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))) (-.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (*.f64 (fma.f64 1/3 x (*.f64 -1/3 x)) (fma.f64 1/3 x (*.f64 -1/3 x)))) (-.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x -1/3)) 2) (*.f64 (*.f64 x 0) (*.f64 x 0))) (fma.f64 x (+.f64 x 1/3) (*.f64 x 0)))
(pow.f64 (*.f64 x (+.f64 x 1/3)) 1)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 3)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/3)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 2)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))
(fabs.f64 (*.f64 x (-.f64 x -1/3)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1/3)))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 1/3)))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 1/3))) 1))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 x x (*.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 x x (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 1 (*.f64 x x) (*.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 1 (*.f64 x x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (*.f64 x x) 1 (*.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 (*.f64 x x) 1 (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (*.f64 -1/3 x) (fma.f64 1/3 x (*.f64 -1/3 x)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 1/3 (*.f64 x 0)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x 1/3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (*.f64 -1/3 x) (fma.f64 1/3 x (*.f64 -1/3 x)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 1/3 (*.f64 x 0)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 x (-.f64 x -1/3))) (*.f64 x 0))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (*.f64 -1/3 x) (fma.f64 1/3 x (*.f64 -1/3 x)))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 1/3 (*.f64 x 0)))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 1/3))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (*.f64 -1/3 x) (fma.f64 1/3 x (*.f64 -1/3 x)))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 1/3 (*.f64 x 0)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))

eval223.0ms (11.3%)

Compiler

Compiled 9598 to 7487 computations (22% saved)

prune74.0ms (3.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New6061607
Fresh022
Picked303
Done011
Total6094613
Accurracy
100.0%
Counts
613 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (+.f64 x 2/3) 1)
100.0%
(+.f64 x -1/3)
51.5%
x
50.4%
-1/3
99.2%
(-.f64 (+.f64 x 2/3) 1)
100.0%
(+.f64 x -1/3)
51.5%
x
50.4%
-1/3
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize21.0ms (1.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 x 2/3)
99.2%
(-.f64 (+.f64 x 2/3) 1)
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 x 2/3) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 x 2/3) 1)
0.0ms
x
@inf
(-.f64 (+.f64 x 2/3) 1)
0.0ms
x
@inf
(+.f64 x 2/3)
0.0ms
x
@0
(+.f64 x 2/3)

rewrite58.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1638×pow1
1542×add-exp-log
1540×log1p-expm1-u
1540×expm1-log1p-u
1520×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115914
2205514
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(-.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
Outputs
(+.f64 x -1/3)
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (-.f64 x 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(*.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 5/3) (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (+.f64 x 5/3))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (neg.f64 (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x -1/3))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log.f64 (+.f64 x 2/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 x 2/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(*.f64 (+.f64 x 2/3) 1)
(*.f64 1 (+.f64 x 2/3))
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))) (+.f64 (pow.f64 x 3) 8/27)))
(/.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x 2/3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8/27)) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8/27) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(pow.f64 (+.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))
(log.f64 (exp.f64 (+.f64 x 2/3)))
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 x 2/3)))
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(fma.f64 1 x 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)

simplify48.0ms (2.5%)

Algorithm
egg-herbie
Rules
1630×times-frac
1066×fma-def
640×unswap-sqr
478×associate-/l*
474×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01681346
13901280
215171164
Stop Event
node limit
Counts
98 → 90
Calls
Call 1
Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 x -1/3)
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (-.f64 x 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(*.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 5/3) (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (+.f64 x 5/3))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (neg.f64 (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x -1/3))
(pow.f64 (+.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(log.f64 (exp.f64 (+.f64 x -1/3)))
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(expm1.f64 (log.f64 (+.f64 x 2/3)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 x 2/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(*.f64 (+.f64 x 2/3) 1)
(*.f64 1 (+.f64 x 2/3))
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(*.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))) (+.f64 (pow.f64 x 3) 8/27)))
(/.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x 2/3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8/27)) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8/27) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(pow.f64 (+.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))
(log.f64 (exp.f64 (+.f64 x 2/3)))
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 x 2/3)))
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(fma.f64 1 x 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
2/3
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 2/3 (-.f64 x 1))
(+.f64 -1/3 x)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(*.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (/.f64 1 (+.f64 x 5/3)))
(+.f64 -1/3 x)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 -1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(/.f64 1 (/.f64 (+.f64 x 5/3) (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))))
(+.f64 -1/3 x)
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (-.f64 1 (*.f64 (+.f64 x 2/3) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (+.f64 x 5/3))
(+.f64 -1/3 x)
(/.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3)) (-.f64 (+.f64 x 2/3) -1))
(+.f64 -1/3 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) 1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 x (+.f64 5/3 (pow.f64 (+.f64 x 2/3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 1 (*.f64 (+.f64 x 2/3) (+.f64 x 5/3))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 5/3) (+.f64 x -1/3))) (neg.f64 (+.f64 x 5/3)))
(+.f64 -1/3 x)
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (fma.f64 x 1/3 1/9)))
(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x -1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.f64 -1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 -1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 -1/3 x)
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 -1/3 x)
(expm1.f64 (log.f64 (+.f64 x 2/3)))
(+.f64 -1/3 x)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)) -1)
(+.f64 -1/3 x)
(-.f64 (+.f64 x 5/3) 1)
(+.f64 x 2/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(*.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(*.f64 1 (+.f64 x 2/3))
(+.f64 x 2/3)
(*.f64 (cbrt.f64 (+.f64 x 2/3)) (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (cbrt.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (sqrt.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 x 2/3)) (*.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(+.f64 x 2/3)
(*.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))) (+.f64 (pow.f64 x 3) 8/27)))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8/27)) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3)))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x -2/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8/27) 1) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (-.f64 4/9 (*.f64 x 2/3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(-.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -2/3) x)) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(pow.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
(pow.f64 (cbrt.f64 (+.f64 x 2/3)) 3)
(+.f64 x 2/3)
(pow.f64 (pow.f64 (+.f64 x 2/3) 3) 1/3)
(+.f64 x 2/3)
(pow.f64 (sqrt.f64 (+.f64 x 2/3)) 2)
(+.f64 x 2/3)
(sqrt.f64 (pow.f64 (+.f64 x 2/3) 2))
(+.f64 x 2/3)
(log.f64 (exp.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(cbrt.f64 (pow.f64 (+.f64 x 2/3) 3))
(+.f64 x 2/3)
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(log1p.f64 (expm1.f64 (+.f64 x 2/3)))
(+.f64 x 2/3)
(fma.f64 1 x 2/3)
(+.f64 x 2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 2/3)
(+.f64 x 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
(+.f64 x 2/3)

eval29.0ms (1.4%)

Compiler

Compiled 904 to 708 computations (21.7% saved)

prune11.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh022
Picked011
Done011
Total90494
Accurracy
100.0%
Counts
94 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (+.f64 x 2/3) 1)
100.0%
(+.f64 x -1/3)
51.5%
x
50.4%
-1/3
99.2%
(-.f64 (+.f64 x 2/3) 1)
100.0%
(+.f64 x -1/3)
51.5%
x
50.4%
-1/3
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Accurracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (+.f64 x 2/3) 1)
100.0%
(+.f64 x -1/3)
51.5%
x
50.4%
-1/3
Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes10.0ms (0.5%)

Counts
8 → 1
Calls
Call 1
Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
Outputs
(+.f64 x -1/3)
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 x (/.f64 1 3))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 1 3))
Compiler

Compiled 51 to 39 computations (23.5% saved)

regimes9.0ms (0.5%)

Counts
2 → 3
Calls
Call 1
Inputs
-1/3
x
Outputs
x
-1/3
x
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1/3
Outputs
-1/3
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
50.4%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch69.0ms (3.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
3.0791074277247273e-25
28.706680599808095
29.0ms
-1507885947.4152908
-0.024713076275039356
Results
66.0ms336×body256valid
Compiler

Compiled 136 to 113 computations (16.9% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01429
12029
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x -1/3)
(if (<=.f64 x -6034823500676465/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3
Outputs
(+.f64 x -1/3)
(if (<=.f64 x -6034823500676465/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) -1/3 x))
-1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness14.0ms (0.7%)

Rules
1-exp
sub-neg
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1147
2157
Stop Event
saturated
Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess28.0ms (1.4%)

Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

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