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

Time bar (total: 2.1s)

analyze0.0ms (0%)

Algorithm
1×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)

sample628.0ms (30.3%)

Results
618.0ms8256×body256valid
Bogosity

preprocess19.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01118
12016
23014
34114
44914
56014
67414
77814
Stop Event
1×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
1×egg-herbie
Rules
2×1-exp
2×sub-neg
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1147
2157
Stop Event
1×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)

localize30.0ms (1.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (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)

rewrite49.0ms (2.4%)

Algorithm
1×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
1×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)

simplify49.0ms (2.4%)

Algorithm
1×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
1×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 (0.4%)

Compiler

Compiled 309 to 228 computations (26.2% saved)

prune9.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New31637
Fresh000
Picked011
Done000
Total31738
Accurracy
100.0%
Counts
38 → 7
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))))
▶75.9%
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
▶99.2%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
✓100.0%
(+.f64 x -1/3)
▶72.2%
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
48.8%
x
51.5%
-1/3
▶66.3%
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
▶75.9%
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
▶99.2%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
✓100.0%
(+.f64 x -1/3)
▶72.2%
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
48.8%
x
51.5%
-1/3
Compiler

Compiled 98 to 76 computations (22.4% saved)

localize217.0ms (10.5%)

Local Accuracy

Found 14 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)
✓85.3%
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
✓100.0%
(fma.f64 x x -1/9)
✓100.0%
(+.f64 x 1/3)
✓99.9%
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
✓89.4%
(/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))
100.0%
(+.f64 x -1/3)
✓99.2%
(+.f64 1 (+.f64 x -1/3))
✓99.2%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
100.0%
(+.f64 x -1/3)
✓100.0%
(log1p.f64 (+.f64 x -1/3))
✓97.3%
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
Compiler

Compiled 113 to 76 computations (32.7% saved)

series7.0ms (0.3%)

Counts
12 → 144
Calls

36 calls:

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

rewrite119.0ms (5.7%)

Algorithm
1×batch-egg-rewrite
Rules
602×add-sqr-sqrt
578×pow1
576×*-un-lft-identity
566×log1p-expm1-u
564×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028128
1640110
Stop Event
1×node limit
Counts
12 → 599
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 x 1/3) (fma.f64 x x -1/9))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(+.f64 x 1/3)
(fma.f64 x x -1/9)
(/.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 -1/3 (*.f64 x 1))
(+.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 (+.f64 1 x) -4/3)
(+.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))
(+.f64 (*.f64 x 1) -1/3)
(-.f64 x 1/3)
(-.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 1 (+.f64 x -1/3))
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(log.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 (pow.f64 (cbrt.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)
(+.f64 (*.f64 x x) (*.f64 x 1/3))
(+.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 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.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)) (fma.f64 1/3 x (*.f64 x -1/3))))
(+.f64 (fma.f64 x x (neg.f64 (*.f64 (*.f64 x -1/3) 1))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 (*.f64 x -1/3) 1)))
(+.f64 (fma.f64 1 (*.f64 x x) (neg.f64 (*.f64 (*.f64 x -1/3) 1))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 (*.f64 x -1/3) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (*.f64 x -1/3) 1))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 (*.f64 x -1/3) 1)))
(+.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x 1/3) 1))
(+.f64 (*.f64 (*.f64 x (+.f64 x 1/3)) 1) (*.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 1))
(*.f64 x (+.f64 x 1/3))
(*.f64 1 (*.f64 x (+.f64 x 1/3)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2))
(*.f64 (pow.f64 (cbrt.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) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3)))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.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 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3))) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (*.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 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (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 (+.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 (+.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 (pow.f64 (cbrt.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)))

simplify154.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
1034×times-frac
960×fma-def
904×associate-*r*
786×associate-*l*
518×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087215491
1216414547
Stop Event
1×node limit
Counts
743 → 539
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)
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (+.f64 (*.f64 -9 x) (*.f64 -27 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (*.f64 -9 x) (+.f64 (*.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 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)
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
-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 -1/3 (*.f64 x 1))
(+.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 (+.f64 1 x) -4/3)
(+.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))
(+.f64 (*.f64 x 1) -1/3)
(-.f64 x 1/3)
(-.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 1 (+.f64 x -1/3))
(*.f64 (fma.f64 x x -1/9) (/.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 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.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 (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 (sqrt.f64 (+.f64 x -1/3)) (sqrt.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 -1 (/.f64 1 (/.f64 -1 (+.f64 x -1/3))))
(*.f64 (+.f64 1/27 (neg.f64 (pow.f64 x 3))) (/.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 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (fma.f64 x x -1/9))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) -1))
(*.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 1 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (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 (+.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 (+.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 (pow.f64 (cbrt.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)))
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 x (*.f64 x -9/8))))
(+.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 2/3 x) (+.f64 (log.f64 x) (/.f64 -2/9 (*.f64 x 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)
-3
(-.f64 (*.f64 -9 x) 3)
(fma.f64 -9 x -3)
(fma.f64 x -9 -3)
(-.f64 (+.f64 (*.f64 -9 x) (*.f64 -27 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -9 x (*.f64 -27 (*.f64 x x))) -3)
(fma.f64 x -9 (fma.f64 -27 (*.f64 x x) -3))
(-.f64 (+.f64 (*.f64 -9 x) (+.f64 (*.f64 -81 (pow.f64 x 3)) (*.f64 -27 (pow.f64 x 2)))) 3)
(+.f64 (fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (*.f64 -27 (*.f64 x x)))) -3)
(+.f64 (fma.f64 (pow.f64 x 3) -81 (*.f64 (*.f64 -27 x) x)) (fma.f64 x -9 -3))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/3 (*.f64 x x))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/27 (pow.f64 x 4))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/27 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/3 (*.f64 x x))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/27 (pow.f64 x 4))))
(+.f64 (/.f64 1/3 (*.f64 x x)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/27 (pow.f64 x 4)))))
-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)
1/3
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x 1/3)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
-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)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(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 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(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)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.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)
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(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 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.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 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.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 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 -1/3 (*.f64 x 1))
(+.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 (+.f64 1 x) -4/3)
(+.f64 -1/3 x)
(+.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(+.f64 (*.f64 x 1) -1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.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 (fma.f64 x x -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 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (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) (/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.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 (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 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
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(/.f64 (-.f64 -1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3)) (+.f64 -1/81 (*.f64 (fma.f64 x (+.f64 x 1/3) -1/9) (*.f64 x (-.f64 -1/3 x)))))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))) (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(neg.f64 (/.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (neg.f64 (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))))
(/.f64 (+.f64 -1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (-.f64 -1/9 (*.f64 x (-.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/729) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (-.f64 1/81 (*.f64 (*.f64 x (+.f64 x 1/3)) 1/9))))
(/.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (-.f64 1/81 (*.f64 x (*.f64 (+.f64 x 1/3) 1/9)))))
(/.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (+.f64 1/81 (*.f64 1/9 (*.f64 x (-.f64 -1/3 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1/9 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/27)) (+.f64 (*.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/9 (*.f64 x x))) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (+.f64 1/9 (*.f64 x x)) (*.f64 x -1/3)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1/9) 3) (*.f64 (pow.f64 x 3) -1/27)) (fma.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9) (fma.f64 1/9 (*.f64 x x) (*.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1/9) 3) (*.f64 (pow.f64 x 3) 1/27)) (fma.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9) (fma.f64 x (*.f64 1/9 x) (*.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) 1/81) (-.f64 (*.f64 x (+.f64 x 1/3)) 1/9))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) -1/81) (fma.f64 x (+.f64 x 1/3) -1/9))
(/.f64 (-.f64 (*.f64 (+.f64 1/9 (*.f64 x x)) (+.f64 1/9 (*.f64 x x))) (*.f64 1/9 (*.f64 x x))) (+.f64 (+.f64 1/9 (*.f64 x x)) (*.f64 x -1/3)))
(/.f64 (+.f64 (*.f64 (fma.f64 x x 1/9) (fma.f64 x x 1/9)) (*.f64 -1/9 (*.f64 x x))) (+.f64 1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (fma.f64 x (+.f64 -1/3 x) 1/9)) (fma.f64 x (+.f64 -1/3 x) 1/9))
(pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 3)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3) 1/3)
(fma.f64 x (+.f64 x 1/3) 1/9)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)
(fma.f64 x (+.f64 x 1/3) 1/9)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))
(fabs.f64 (fma.f64 x (+.f64 x 1/3) 1/9))
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(fma.f64 x (+.f64 x 1/3) 1/9)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3))
(fma.f64 x (+.f64 x 1/3) 1/9)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 1))
(fma.f64 x (+.f64 x 1/3) 1/9)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 1/9)
(fma.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 x (+.f64 x 1/3) 1/9)
(+.f64 (*.f64 x x) (*.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 x x) (+.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))
(+.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))
(+.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 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.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 (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)) (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 x x (neg.f64 (*.f64 (*.f64 x -1/3) 1))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 (*.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 (fma.f64 1 (*.f64 x x) (neg.f64 (*.f64 (*.f64 x -1/3) 1))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 (*.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 (fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (*.f64 x -1/3) 1))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 (*.f64 x -1/3) 1)))
(+.f64 (fma.f64 1/3 x (*.f64 -1/3 x)) (fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 -1/3 x))))
(+.f64 (*.f64 x 0) (fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3)))
(+.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x 1/3) 1))
(*.f64 x (+.f64 x 1/3))
(+.f64 (*.f64 (*.f64 x (+.f64 x 1/3)) 1) (*.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 x (+.f64 x 1/3))
(*.f64 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 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.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 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3)))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 1/9 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 (*.f64 x 1/3) (*.f64 x (-.f64 1/3 x)) (pow.f64 x 4)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (/.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 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3))) (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 1/9 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 (*.f64 x 1/3) (*.f64 x (-.f64 1/3 x)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (*.f64 x (+.f64 x -1/3)) (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (/.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) (*.f64 (pow.f64 x 3) -1/27)) (+.f64 (pow.f64 x 4) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 1/9 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 (*.f64 x 1/3) (*.f64 x (-.f64 1/3 x)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (*.f64 x (+.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (/.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) (*.f64 (pow.f64 x 3) -1/27))) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 1/9 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 1/9 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 (*.f64 x 1/3) (*.f64 x (-.f64 1/3 x)) (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x)))) (neg.f64 (*.f64 x (+.f64 x -1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x)))) (*.f64 x (+.f64 (neg.f64 x) 1/3)))
(/.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) (fma.f64 1/9 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 (*.f64 x 1/3) (*.f64 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 -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) (*.f64 -1/9 (*.f64 x x))) (/.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))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 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))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 2)
(*.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))
(log.f64 (+.f64 1 (expm1.f64 (*.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))
(expm1.f64 (log1p.f64 (*.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))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x 1/3))) 1))
(*.f64 x (+.f64 x 1/3))
(log1p.f64 (expm1.f64 (*.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))
(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))
(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 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.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 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 (*.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))

eval318.0ms (15.4%)

Compiler

Compiled 10565 to 8258 computations (21.8% saved)

prune98.0ms (4.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New6852687
Fresh022
Picked404
Done011
Total6895694
Accurracy
100.0%
Counts
694 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(-.f64 (+.f64 x 2/3) 1)
▶50.8%
(-.f64 2/3 1)
✓100.0%
(+.f64 x -1/3)
48.8%
x
51.5%
-1/3
▶99.2%
(-.f64 (+.f64 x 2/3) 1)
▶50.8%
(-.f64 2/3 1)
✓100.0%
(+.f64 x -1/3)
48.8%
x
51.5%
-1/3
Compiler

Compiled 36 to 30 computations (16.7% saved)

localize73.0ms (3.5%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 x 2/3)
✓99.2%
(-.f64 (+.f64 x 2/3) 1)
✓98.4%
(-.f64 2/3 1)
Compiler

Compiled 18 to 15 computations (16.7% saved)

series0.0ms (0%)

Counts
3 → 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)

rewrite63.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
1748×pow1
1644×add-exp-log
1642×log1p-expm1-u
1642×expm1-log1p-u
1622×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
117915
2221515
Stop Event
1×node limit
Counts
3 → 75
Calls
Call 1
Inputs
(-.f64 2/3 1)
(-.f64 (+.f64 x 2/3) 1)
(+.f64 x 2/3)
Outputs
-1/3
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (-.f64 x 1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1 (+.f64 2/3 x))
(*.f64 1 (+.f64 -1/3 x))
(*.f64 (+.f64 -1/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2) (cbrt.f64 (+.f64 -1/3 x)))
(*.f64 (sqrt.f64 (+.f64 -1/3 x)) (sqrt.f64 (+.f64 -1/3 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (-.f64 1 (*.f64 (+.f64 2/3 x) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (-.f64 (+.f64 2/3 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (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 -1/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1/3 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 -1/3 x) 2))
(log.f64 (exp.f64 (+.f64 -1/3 x)))
(cbrt.f64 (pow.f64 (+.f64 -1/3 x) 3))
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(exp.f64 (log.f64 (+.f64 -1/3 x)))
(log1p.f64 (expm1.f64 (+.f64 -1/3 x)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(*.f64 1 (+.f64 2/3 x))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (+.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x)))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))) (+.f64 8/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 2/3 x))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x)))))
(/.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 8/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(pow.f64 (+.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(log.f64 (exp.f64 (+.f64 2/3 x)))
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 2/3 x)))
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(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)

simplify72.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1674×fma-neg
1114×distribute-lft-in
1104×distribute-rgt-in
788×fma-def
640×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01671489
13771393
212571277
373931257
Stop Event
1×node limit
Counts
99 → 94
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)
-1/3
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (-.f64 x 1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1 (+.f64 2/3 x))
(*.f64 1 (+.f64 -1/3 x))
(*.f64 (+.f64 -1/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2) (cbrt.f64 (+.f64 -1/3 x)))
(*.f64 (sqrt.f64 (+.f64 -1/3 x)) (sqrt.f64 (+.f64 -1/3 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (-.f64 1 (*.f64 (+.f64 2/3 x) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (-.f64 (+.f64 2/3 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (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 -1/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1/3 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 -1/3 x) 2))
(log.f64 (exp.f64 (+.f64 -1/3 x)))
(cbrt.f64 (pow.f64 (+.f64 -1/3 x) 3))
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(exp.f64 (log.f64 (+.f64 -1/3 x)))
(log1p.f64 (expm1.f64 (+.f64 -1/3 x)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(*.f64 1 (+.f64 2/3 x))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (+.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x)))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))) (+.f64 8/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 2/3 x))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x)))))
(/.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 8/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(pow.f64 (+.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(log.f64 (exp.f64 (+.f64 2/3 x)))
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log.f64 (+.f64 2/3 x)))
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(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)
-1/3
(+.f64 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 2/3 (-.f64 x 1))
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 2/3 x))
(+.f64 -1/3 x)
(*.f64 1 (+.f64 -1/3 x))
(+.f64 -1/3 x)
(*.f64 (+.f64 -1/3 x) 1)
(+.f64 -1/3 x)
(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2))
(+.f64 -1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2) (cbrt.f64 (+.f64 -1/3 x)))
(+.f64 -1/3 x)
(*.f64 (sqrt.f64 (+.f64 -1/3 x)) (sqrt.f64 (+.f64 -1/3 x)))
(+.f64 -1/3 x)
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 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 -1 (pow.f64 (+.f64 x 2/3) 3)) (fma.f64 (+.f64 x 2/3) (+.f64 x 5/3) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(/.f64 (+.f64 x 5/3) (/.f64 (+.f64 x 5/3) (+.f64 -1/3 x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(+.f64 -1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 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 -1 (pow.f64 (+.f64 x 2/3) 3)) (fma.f64 (+.f64 x 2/3) (+.f64 x 5/3) 1))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(/.f64 (+.f64 x 5/3) (/.f64 (+.f64 x 5/3) (+.f64 -1/3 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 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 -1 (pow.f64 (+.f64 x 2/3) 3)) (fma.f64 (+.f64 x 2/3) (+.f64 x 5/3) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (-.f64 1 (*.f64 (+.f64 2/3 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 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 -1 (pow.f64 (+.f64 x 2/3) 3)) (fma.f64 (+.f64 x 2/3) (+.f64 x 5/3) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(/.f64 (+.f64 x 5/3) (/.f64 (+.f64 x 5/3) (+.f64 -1/3 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (-.f64 (+.f64 2/3 x) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(/.f64 (+.f64 x 5/3) (/.f64 (+.f64 x 5/3) (+.f64 -1/3 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (/.f64 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 -1 (pow.f64 (+.f64 x 2/3) 3)) (fma.f64 (+.f64 x 2/3) (+.f64 x 5/3) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (neg.f64 (+.f64 x 5/3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (/.f64 1 (+.f64 x 5/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 2)) (+.f64 x 5/3))
(/.f64 (+.f64 x 5/3) (/.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 -1/3 x) 1)
(+.f64 -1/3 x)
(pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 3)
(+.f64 -1/3 x)
(pow.f64 (pow.f64 (+.f64 -1/3 x) 3) 1/3)
(+.f64 -1/3 x)
(pow.f64 (sqrt.f64 (+.f64 -1/3 x)) 2)
(+.f64 -1/3 x)
(sqrt.f64 (pow.f64 (+.f64 -1/3 x) 2))
(+.f64 -1/3 x)
(log.f64 (exp.f64 (+.f64 -1/3 x)))
(+.f64 -1/3 x)
(cbrt.f64 (pow.f64 (+.f64 -1/3 x) 3))
(+.f64 -1/3 x)
(expm1.f64 (log.f64 (+.f64 2/3 x)))
(+.f64 -1/3 x)
(exp.f64 (log.f64 (+.f64 -1/3 x)))
(+.f64 -1/3 x)
(log1p.f64 (expm1.f64 (+.f64 -1/3 x)))
(+.f64 -1/3 x)
(fma.f64 1 x -1/3)
(+.f64 -1/3 x)
(fma.f64 1 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(+.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 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(+.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 (/.f64 x (+.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 2/3 x))
(+.f64 x 2/3)
(*.f64 (+.f64 2/3 x) 1)
(+.f64 x 2/3)
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(+.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(+.f64 x 2/3)
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(+.f64 x 2/3)
(*.f64 (+.f64 8/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (+.f64 4/9 (*.f64 -2/3 x))))
(/.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 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.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 2/3 x))) (+.f64 8/27 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (+.f64 4/9 (*.f64 -2/3 x))))
(/.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 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.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 8/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (+.f64 4/9 (*.f64 -2/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (-.f64 (*.f64 x x) (*.f64 2/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (+.f64 4/9 (*.f64 -2/3 x))))
(/.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 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x -2/3)) x) (/.f64 -4/9 (+.f64 x -2/3)))
(/.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x)))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (+.f64 4/9 (*.f64 -2/3 x))))
(/.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 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.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 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.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 8/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (fma.f64 x x (+.f64 4/9 (*.f64 -2/3 x))))
(/.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 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(+.f64 (*.f64 (/.f64 x (+.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 2/3 x) 1)
(+.f64 x 2/3)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(+.f64 x 2/3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(+.f64 x 2/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(+.f64 x 2/3)
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(+.f64 x 2/3)
(log.f64 (exp.f64 (+.f64 2/3 x)))
(+.f64 x 2/3)
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(+.f64 x 2/3)
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(+.f64 x 2/3)
(exp.f64 (log.f64 (+.f64 2/3 x)))
(+.f64 x 2/3)
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(+.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)

eval28.0ms (1.4%)

Compiler

Compiled 956 to 755 computations (21% saved)

prune14.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh022
Picked022
Done011
Total94599
Accurracy
100.0%
Counts
99 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(-.f64 (+.f64 x 2/3) 1)
✓50.8%
(-.f64 2/3 1)
✓100.0%
(+.f64 x -1/3)
48.8%
x
51.5%
-1/3
✓99.2%
(-.f64 (+.f64 x 2/3) 1)
✓50.8%
(-.f64 2/3 1)
✓100.0%
(+.f64 x -1/3)
48.8%
x
51.5%
-1/3
Compiler

Compiled 36 to 30 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(-.f64 (+.f64 x 2/3) 1)
✓50.8%
(-.f64 2/3 1)
✓100.0%
(+.f64 x -1/3)
48.8%
x
51.5%
-1/3
Compiler

Compiled 74 to 58 computations (21.6% saved)

regimes13.0ms (0.6%)

Counts
10 → 1
Calls
Call 1
Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 2/3 1)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.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
5.0ms
(-.f64 x (/.f64 1 3))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 x (/.f64 1 3))
Compiler

Compiled 64 to 49 computations (23.4% saved)

regimes10.0ms (0.5%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
96.8%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
51.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch32.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.17062797416258244
6.313135432929535
20.0ms
-0.3640541277573658
-1.1380362183892996e-6
Results
25.0ms256×body256valid
Compiler

Compiled 106 to 88 computations (17% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 13 computations (27.8% saved)

soundness15.0ms (0.7%)

Rules
2×1-exp
2×sub-neg
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1147
2157
Stop Event
1×saturated
Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess29.0ms (1.4%)

Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

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