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

Time bar (total: 2.1s)

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)

sample715.0ms (33.3%)

Results
705.0ms8256×body256valid
Bogosity

preprocess17.0ms (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 (0.1%)

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)

prune4.0ms (0.2%)

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)

localize17.0ms (0.8%)

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
1.0ms
x
@inf
(+.f64 x -1/3)
0.0ms
x
@0
(+.f64 x -1/3)
0.0ms
x
@-inf
(+.f64 x -1/3)

rewrite51.0ms (2.4%)

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 (2.2%)

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)

eval8.0ms (0.4%)

Compiler

Compiled 309 to 228 computations (26.2% saved)

prune23.0ms (1.1%)

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
73.7%
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
73.7%
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
99.3%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
100.0%
(+.f64 x -1/3)
55.5%
x
46.0%
-1/3
73.7%
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
73.7%
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
99.3%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
100.0%
(+.f64 x -1/3)
55.5%
x
46.0%
-1/3
Compiler

Compiled 80 to 60 computations (25% saved)

localize73.0ms (3.4%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 -1/3 x)
100.0%
(-.f64 1/9 (*.f64 x x))
73.7%
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
100.0%
(+.f64 x 1/3)
99.7%
(/.f64 1/9 (+.f64 x 1/3))
73.6%
(/.f64 (*.f64 x x) (+.f64 x 1/3))
100.0%
(+.f64 x -1/3)
99.3%
(+.f64 1 (+.f64 x -1/3))
99.3%
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
Compiler

Compiled 77 to 47 computations (39% saved)

series4.0ms (0.2%)

Counts
8 → 96
Calls

24 calls:

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

rewrite127.0ms (5.9%)

Algorithm
batch-egg-rewrite
Rules
1572×fma-def
646×expm1-udef
642×log1p-udef
428×add-sqr-sqrt
410×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017110
141780
2624180
Stop Event
node limit
Counts
8 → 522
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 1 (+.f64 x -1/3))
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(/.f64 1/9 (+.f64 x 1/3))
(+.f64 x 1/3)
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(-.f64 1/9 (*.f64 x x))
(-.f64 -1/3 x)
Outputs
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 1 x) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (-.f64 1/9 (*.f64 x x)) (/.f64 1 (-.f64 -1/3 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(*.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 1/9 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (neg.f64 (-.f64 -1/3 x))))
(*.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.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 1 (+.f64 x 2/3)))))
(*.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (*.f64 x x)))
(*.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 1 (+.f64 x 2/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (cbrt.f64 (+.f64 x -1/3)))
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(fma.f64 (*.f64 (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 x)))) (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) -4/3)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x -4/3)) (cbrt.f64 (+.f64 x -4/3))) (cbrt.f64 (+.f64 x -4/3)) 1)
(fma.f64 (sqrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (sqrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -4/3)
(fma.f64 (sqrt.f64 (+.f64 x -4/3)) (sqrt.f64 (+.f64 x -4/3)) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -1/3)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (cbrt.f64 (+.f64 x -1/3)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (-.f64 -1/3 x))) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (cbrt.f64 (-.f64 -1/3 x))) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1/3)) 1) (-.f64 (sqrt.f64 (+.f64 x -1/3)) 1) 1)
(fma.f64 (/.f64 1/9 (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(fma.f64 (/.f64 1/9 (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(fma.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3) 0)
(fma.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9) 0)
(+.f64 1/9 (*.f64 x (neg.f64 x)))
(+.f64 1/9 (*.f64 (*.f64 x (neg.f64 x)) 1))
(+.f64 (*.f64 x (neg.f64 x)) 1/9)
(*.f64 1 (-.f64 1/9 (*.f64 x x)))
(*.f64 (-.f64 1/9 (*.f64 x x)) 1)
(*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (-.f64 1/9 (*.f64 x x))))
(*.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)))
(*.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1/9)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81) (-.f64 1/729 (pow.f64 x 6))))
(/.f64 1 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (fma.f64 x x 1/9))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (neg.f64 (fma.f64 x x 1/9)))
(/.f64 (+.f64 1/729 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1/81 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 1/9 (*.f64 x (neg.f64 x))))))
(/.f64 (-.f64 1/81 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1/9 (*.f64 x (neg.f64 x))))
(pow.f64 (-.f64 1/9 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1/9 (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/9 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))
(fma.f64 1 (*.f64 x (neg.f64 x)) 1/9)
(fma.f64 x (neg.f64 x) 1/9)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1/9)
(fma.f64 (neg.f64 x) x 1/9)
(fma.f64 -1 (*.f64 x x) 1/9)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (*.f64 x (neg.f64 x))) 1/9)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 1/9)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1/9)
(fma.f64 (*.f64 (neg.f64 x) 1) x 1/9)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 1/9)
(+.f64 -1/3 (neg.f64 x))
(+.f64 -1/3 (*.f64 (neg.f64 x) 1))
(+.f64 (neg.f64 x) -1/3)
(*.f64 1 (-.f64 -1/3 x))
(*.f64 (-.f64 1/9 (*.f64 x x)) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (-.f64 -1/3 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (neg.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.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 x 1/3)) (neg.f64 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (-.f64 -1/3 x)) (sqrt.f64 (-.f64 -1/3 x)))
(*.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 -1 (+.f64 x 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (-.f64 -1/3 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(/.f64 1 (/.f64 (+.f64 x -1/3) (-.f64 1/9 (*.f64 x x))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (-.f64 -1/27 (pow.f64 x 3))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 x -1/3))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (/.f64 (+.f64 x -1/3) (cbrt.f64 (-.f64 1/9 (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 (+.f64 x -1/3) (sqrt.f64 (-.f64 1/9 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (*.f64 (+.f64 x -1/3) (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (*.f64 (+.f64 x -1/3) (fma.f64 x x 1/9)))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (neg.f64 (-.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (+.f64 -1/27 (pow.f64 (neg.f64 x) 3)) (+.f64 1/9 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 -1/3 (neg.f64 x)))))
(/.f64 (-.f64 1/9 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 -1/3 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) 1) (+.f64 x -1/3))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.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)
(neg.f64 (+.f64 x 1/3))
(sqrt.f64 (pow.f64 (-.f64 -1/3 x) 2))
(log.f64 (exp.f64 (-.f64 -1/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1/3 x))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (-.f64 -1/3 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1/3) 3)))
(expm1.f64 (log1p.f64 (-.f64 -1/3 x)))
(exp.f64 (log.f64 (-.f64 -1/3 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 -1/3 x)) 1))
(log1p.f64 (expm1.f64 (-.f64 -1/3 x)))
(fma.f64 1 (neg.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) -1/3)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) -1/3)
(fma.f64 -1 x -1/3)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) -1/3)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) -1/3)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/3)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) -1/3)

simplify196.0ms (9.1%)

Algorithm
egg-herbie
Rules
1028×associate-/r*
1012×associate-*r*
922×associate-*l*
564×distribute-rgt-in
564×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084312746
1204311798
Stop Event
node limit
Counts
618 → 594
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 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -9 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 (pow.f64 x 3)) (*.f64 27 (pow.f64 x 4))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 (pow.f64 x 3)) (+.f64 (*.f64 -81 (pow.f64 x 5)) (*.f64 27 (pow.f64 x 4)))))
x
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
x
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
1/3
(+.f64 1/3 (*.f64 -1 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 (*.f64 -1 x)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (*.f64 -1 x) (*.f64 -9 (pow.f64 x 3)))))
(/.f64 1/9 x)
(-.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1/9 x)
(-.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
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)
-1/3
(-.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)
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
-1/3
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 (*.f64 -1 x) 1/3)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 1 x) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (-.f64 1/9 (*.f64 x x)) (/.f64 1 (-.f64 -1/3 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(*.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 1/9 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(*.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (neg.f64 (-.f64 -1/3 x))))
(*.f64 (+.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.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 1 (+.f64 x 2/3)))))
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(fma.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 1 (+.f64 x 2/3)))) 0)
(fma.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (*.f64 x x)) 0)
(fma.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)) 0)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 x -1/3) 2)) (/.f64 1 (-.f64 4/3 x)) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2/3))) 0)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 x)))) (cbrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) -4/3)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x -4/3)) (cbrt.f64 (+.f64 x -4/3))) (cbrt.f64 (+.f64 x -4/3)) 1)
(fma.f64 (sqrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (sqrt.f64 (/.f64 1/9 (-.f64 -1/3 x))) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -4/3)
(fma.f64 (sqrt.f64 (+.f64 x -4/3)) (sqrt.f64 (+.f64 x -4/3)) 1)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -1/3)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (-.f64 -1/3 x))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (-.f64 -1/3 x))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (cbrt.f64 (+.f64 x -1/3)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (-.f64 -1/3 x))) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (cbrt.f64 (-.f64 -1/3 x))) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1) 0)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1/3)) 1) (-.f64 (sqrt.f64 (+.f64 x -1/3)) 1) 1)
(fma.f64 (/.f64 1/9 (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(fma.f64 (/.f64 1/9 (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(fma.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3) 0)
(fma.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9) 0)
(+.f64 1/9 (*.f64 x (neg.f64 x)))
(+.f64 1/9 (*.f64 (*.f64 x (neg.f64 x)) 1))
(+.f64 (*.f64 x (neg.f64 x)) 1/9)
(*.f64 1 (-.f64 1/9 (*.f64 x x)))
(*.f64 (-.f64 1/9 (*.f64 x x)) 1)
(*.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (cbrt.f64 (-.f64 1/9 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (-.f64 1/9 (*.f64 x x))))
(*.f64 (-.f64 1/729 (pow.f64 x 6)) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)))
(*.f64 (-.f64 1/81 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1/9)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81) (-.f64 1/729 (pow.f64 x 6))))
(/.f64 1 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (fma.f64 x x 1/9))
(/.f64 (neg.f64 (-.f64 1/729 (pow.f64 x 6))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)))
(/.f64 (neg.f64 (-.f64 1/81 (pow.f64 x 4))) (neg.f64 (fma.f64 x x 1/9)))
(/.f64 (+.f64 1/729 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1/81 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 1/9 (*.f64 x (neg.f64 x))))))
(/.f64 (-.f64 1/81 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1/9 (*.f64 x (neg.f64 x))))
(pow.f64 (-.f64 1/9 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1/9 (*.f64 x x))))
(exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/9 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))
(fma.f64 1 (*.f64 x (neg.f64 x)) 1/9)
(fma.f64 x (neg.f64 x) 1/9)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1/9)
(fma.f64 (neg.f64 x) x 1/9)
(fma.f64 -1 (*.f64 x x) 1/9)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (*.f64 x (neg.f64 x))) 1/9)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 1/9)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1/9)
(fma.f64 (*.f64 (neg.f64 x) 1) x 1/9)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 1/9)
(+.f64 -1/3 (neg.f64 x))
(+.f64 -1/3 (*.f64 (neg.f64 x) 1))
(+.f64 (neg.f64 x) -1/3)
(*.f64 1 (-.f64 -1/3 x))
(*.f64 (-.f64 1/9 (*.f64 x x)) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (-.f64 -1/3 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (neg.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.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 x 1/3)) (neg.f64 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (-.f64 -1/3 x)) (sqrt.f64 (-.f64 -1/3 x)))
(*.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1/3) 1/9)))
(*.f64 -1 (+.f64 x 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (-.f64 1/9 (*.f64 x x)) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (-.f64 -1/3 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(/.f64 1 (/.f64 (+.f64 x -1/3) (-.f64 1/9 (*.f64 x x))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (-.f64 -1/27 (pow.f64 x 3))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 x -1/3))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (/.f64 (+.f64 x -1/3) (cbrt.f64 (-.f64 1/9 (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 (+.f64 x -1/3) (sqrt.f64 (-.f64 1/9 (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (*.f64 (+.f64 x -1/3) (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (*.f64 (+.f64 x -1/3) (fma.f64 x x 1/9)))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (neg.f64 (-.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (+.f64 -1/27 (pow.f64 (neg.f64 x) 3)) (+.f64 1/9 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 -1/3 (neg.f64 x)))))
(/.f64 (-.f64 1/9 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 -1/3 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) 1) (+.f64 x -1/3))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.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)
(neg.f64 (+.f64 x 1/3))
(sqrt.f64 (pow.f64 (-.f64 -1/3 x) 2))
(log.f64 (exp.f64 (-.f64 -1/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1/3 x))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (-.f64 -1/3 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1/3) 3)))
(expm1.f64 (log1p.f64 (-.f64 -1/3 x)))
(exp.f64 (log.f64 (-.f64 -1/3 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 -1/3 x)) 1))
(log1p.f64 (expm1.f64 (-.f64 -1/3 x)))
(fma.f64 1 (neg.f64 x) -1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) -1/3)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) -1/3)
(fma.f64 -1 x -1/3)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) -1/3)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) -1/3)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/3)
(fma.f64 (neg.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)
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 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 x (*.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -9 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (*.f64 -9 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 (pow.f64 x 3)) (*.f64 27 (pow.f64 x 4))))
(fma.f64 3 (*.f64 x x) (fma.f64 -9 (pow.f64 x 3) (*.f64 27 (pow.f64 x 4))))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 (pow.f64 x 3)) (+.f64 (*.f64 -81 (pow.f64 x 5)) (*.f64 27 (pow.f64 x 4)))))
(fma.f64 3 (*.f64 x x) (fma.f64 -9 (pow.f64 x 3) (fma.f64 -81 (pow.f64 x 5) (*.f64 27 (pow.f64 x 4)))))
(fma.f64 3 (*.f64 x x) (fma.f64 -9 (pow.f64 x 3) (fma.f64 27 (pow.f64 x 4) (*.f64 -81 (pow.f64 x 5)))))
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(+.f64 (/.f64 1/9 x) (+.f64 -1/3 x))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 x (/.f64 1/9 x)) (+.f64 1/3 (/.f64 1/27 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1/3 x)) (/.f64 -1/27 (*.f64 x x)))
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(+.f64 (/.f64 1/9 x) (+.f64 -1/3 x))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 x (/.f64 1/9 x)) (+.f64 1/3 (/.f64 1/27 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1/9 x) (+.f64 -1/3 x)) (/.f64 -1/27 (*.f64 x x)))
1/3
(+.f64 1/3 (*.f64 -1 x))
(-.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 (*.f64 -1 x)))
(fma.f64 3 (*.f64 x x) (-.f64 1/3 x))
(-.f64 (fma.f64 3 (*.f64 x x) 1/3) x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (*.f64 -1 x) (*.f64 -9 (pow.f64 x 3)))))
(fma.f64 3 (*.f64 x x) (+.f64 (-.f64 1/3 x) (*.f64 -9 (pow.f64 x 3))))
(+.f64 (-.f64 1/3 x) (fma.f64 3 (*.f64 x x) (*.f64 -9 (pow.f64 x 3))))
(/.f64 1/9 x)
(-.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (/.f64 -1/27 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/27 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3))) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/243 (pow.f64 x 4)))))
(/.f64 1/9 x)
(-.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/9 x) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (/.f64 -1/27 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3))) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/27 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))) (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3))) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/243 (pow.f64 x 4)))))
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)
-1/3
(-.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)
1/9
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1/9 (*.f64 x x))
(neg.f64 (fma.f64 x x -1/9))
-1/3
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.f64 -1/3 x)
(-.f64 (*.f64 -1 x) 1/3)
(-.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 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 -1/3 x)
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(+.f64 -1/3 x)
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(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 x (/.f64 x (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(+.f64 (+.f64 1 x) -4/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -4/3) 1)
(+.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 (-.f64 1/9 (*.f64 x x)) (/.f64 1 (-.f64 -1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
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(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.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 1/9 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 1 (-.f64 -1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 -1/3 x)
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(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)))
(*.f64 (/.f64 1 (-.f64 -1/3 x)) (-.f64 1/9 (*.f64 x x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 x (/.f64 x (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(*.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 2/3))))
(*.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))
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(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
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(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
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(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
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(*.f64 (cbrt.f64 (+.f64 -1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x x -1/9))) 2) (cbrt.f64 (+.f64 -1/3 x))) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (sqrt.f64 (-.f64 -1/3 x))) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (-.f64 -1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 1) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 -1/3 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 -1/3 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (cbrt.f64 (-.f64 -1/3 x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.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 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/9 (*.f64 x x))) (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 -1/3 x) 1/9))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/27 (pow.f64 x 3))) (fma.f64 x (+.f64 -1/3 x) 1/9))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(+.f64 -1/3 x)
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)) (+.f64 -1/27 (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 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 1/9 (-.f64 -1/3 x)) (*.f64 x (/.f64 x (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(+.f64 -1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 1 (+.f64 x 2/3))) (+.f64 (pow.f64 (+.f64 x 2/3) 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))))
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(/.f64 1 (/.f64 (+.f64 1 (+.f64 x 2/3)) (+.f64 (pow.f64 (+.f64 x 2/3) 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 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
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(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 (-.f64 -1/3 x) (sqrt.f64 (-.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (-.f64 -1/3 x))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (neg.f64 (-.f64 -1/3 x)))
(+.f64 (/.f64 1/9 (-.f64 -1/3 x)) (*.f64 x (/.f64 x (+.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x))))
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(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (-.f64 (fma.f64 x x 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 1/729 (pow.f64 x 6)) (*.f64 (-.f64 -1/3 x) (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 1 (+.f64 x 2/3))))
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(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 x -1/3))))
(+.f64 -1/3 x)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
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(/.f64 (-.f64 1/81 (pow.f64 x 4)) (*.f64 (-.f64 -1/3 x) (fma.f64 x x 1/9)))
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(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
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(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (-.f64 -1/3 x)))
(*.f64 (cbrt.f64 (-.f64 -1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2)))
(*.f64 (cbrt.f64 (-.f64 -1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x x -1/9))) 2) (pow.f64 (cbrt.f64 (+.f64 -1/3 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (cbrt.f64 (+.f64 x -1/3))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(-.f64 -1/3 x)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))
(-.f64 -1/3 x)
(*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 -1/3 x)) (/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 (pow.f64 x 3) -1/27)))
(*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 (pow.f64 x 3) -1/27)))
(*.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) (/.f64 (-.f64 1/9 (*.f64 x x)) (fma.f64 x x -1/9)))
(*.f64 (+.f64 x 1/3) (/.f64 (neg.f64 (fma.f64 x x -1/9)) (fma.f64 x x -1/9)))
(/.f64 1 (/.f64 (+.f64 x -1/3) (-.f64 1/9 (*.f64 x x))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (-.f64 -1/27 (pow.f64 x 3))))
(*.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1/3 x) 1/9)))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 -1/3 x) 1/9))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x))) 2) (/.f64 (+.f64 x -1/3) (cbrt.f64 (-.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(/.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) (/.f64 (+.f64 x -1/3) (sqrt.f64 (-.f64 1/9 (*.f64 x x)))))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (neg.f64 (+.f64 x -1/3)))
(/.f64 (neg.f64 (-.f64 1/9 (*.f64 x x))) (-.f64 1/3 x))
(/.f64 (fma.f64 x x -1/9) (-.f64 1/3 x))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1/3 x) 1/9)))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 -1/3 x) 1/9))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (*.f64 (+.f64 x -1/3) (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (*.f64 (+.f64 -1/3 x) (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)))
(/.f64 (/.f64 (-.f64 1/729 (pow.f64 x 6)) (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81)) (+.f64 -1/3 x))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (*.f64 (+.f64 x -1/3) (fma.f64 x x 1/9)))
(/.f64 (-.f64 1/81 (pow.f64 x 4)) (*.f64 (+.f64 -1/3 x) (fma.f64 x x 1/9)))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1/3 x) 1/9)))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 -1/3 x) 1/9))
(/.f64 (neg.f64 (-.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (neg.f64 (-.f64 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 -1/3 x) 1/9)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (-.f64 -1/9 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(/.f64 (+.f64 -1/27 (pow.f64 (neg.f64 x) 3)) (+.f64 1/9 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 -1/3 (neg.f64 x)))))
(*.f64 (-.f64 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1/3 x) 1/9)))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (+.f64 -1/3 x) 1/9))
(/.f64 (-.f64 1/9 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 -1/3 (neg.f64 x)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) 1) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(/.f64 (/.f64 (-.f64 1/9 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (*.f64 x x)) (+.f64 -1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 x))
(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)
(neg.f64 (+.f64 x 1/3))
(-.f64 -1/3 x)
(sqrt.f64 (pow.f64 (-.f64 -1/3 x) 2))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(fabs.f64 (-.f64 -1/3 x))
(log.f64 (exp.f64 (-.f64 -1/3 x)))
(-.f64 -1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1/3 x))))
(-.f64 -1/3 x)
(log.f64 (/.f64 1 (exp.f64 (+.f64 x 1/3))))
(-.f64 -1/3 x)
(cbrt.f64 (pow.f64 (-.f64 -1/3 x) 3))
(-.f64 -1/3 x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) (pow.f64 (+.f64 x -1/3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3) (pow.f64 (+.f64 -1/3 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (fma.f64 x x -1/9)) 3) (pow.f64 (+.f64 -1/3 x) 3)))
(expm1.f64 (log1p.f64 (-.f64 -1/3 x)))
(-.f64 -1/3 x)
(exp.f64 (log.f64 (-.f64 -1/3 x)))
(-.f64 -1/3 x)
(exp.f64 (*.f64 (log.f64 (-.f64 -1/3 x)) 1))
(-.f64 -1/3 x)
(log1p.f64 (expm1.f64 (-.f64 -1/3 x)))
(-.f64 -1/3 x)
(fma.f64 1 (neg.f64 x) -1/3)
(-.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) -1/3)
(-.f64 -1/3 x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) -1/3)
(-.f64 -1/3 x)
(fma.f64 -1 x -1/3)
(-.f64 -1/3 x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) -1/3)
(-.f64 -1/3 x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) -1/3)
(-.f64 -1/3 x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/3)
(-.f64 -1/3 x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) -1/3)
(-.f64 -1/3 x)

eval229.0ms (10.7%)

Compiler

Compiled 10915 to 7709 computations (29.4% saved)

prune93.0ms (4.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6801681
Fresh022
Picked213
Done011
Total6825687
Accurracy
100.0%
Counts
687 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
99.3%
(-.f64 (+.f64 x 2/3) 1)
100.0%
(+.f64 x -1/3)
55.5%
x
46.0%
-1/3
73.7%
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
99.3%
(-.f64 (+.f64 x 2/3) 1)
100.0%
(+.f64 x -1/3)
55.5%
x
46.0%
-1/3
Compiler

Compiled 48 to 36 computations (25% saved)

localize22.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 x 2/3)
99.3%
(-.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)

rewrite61.0ms (2.8%)

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)

simplify51.0ms (2.4%)

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)

eval55.0ms (2.5%)

Compiler

Compiled 904 to 708 computations (21.7% saved)

prune40.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh022
Picked011
Done022
Total89695
Accurracy
100.0%
Counts
95 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
99.3%
(-.f64 (+.f64 x 2/3) 1)
100.0%
(+.f64 x -1/3)
99.3%
(+.f64 2/3 (-.f64 x 1))
55.5%
x
46.0%
-1/3
73.7%
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
99.3%
(-.f64 (+.f64 x 2/3) 1)
100.0%
(+.f64 x -1/3)
99.3%
(+.f64 2/3 (-.f64 x 1))
55.5%
x
46.0%
-1/3
Compiler

Compiled 60 to 46 computations (23.3% saved)

localize21.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.3%
(+.f64 2/3 (-.f64 x 1))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite68.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1650×pow1
1548×add-exp-log
1546×log1p-expm1-u
1546×expm1-log1p-u
1526×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11587
220587
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(+.f64 2/3 (-.f64 x 1))
Outputs
(-.f64 x 1/3)
(-.f64 (+.f64 2/3 x) 1)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 4/9 (+.f64 (-.f64 2/3 x) 1)) (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (-.f64 2/3 x) 1)))
(*.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 -1) 3) 8/27) (/.f64 1 (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3)))))
(*.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (+.f64 (-.f64 2/3 x) 1)))
(/.f64 1 (/.f64 (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3))) (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27)))
(/.f64 1 (/.f64 (+.f64 (-.f64 2/3 x) 1) (-.f64 4/9 (pow.f64 (+.f64 x -1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 4/9 (+.f64 (*.f64 2/3 x) -2/3))))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (+.f64 (-.f64 2/3 x) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27)) (neg.f64 (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3)))))
(/.f64 (neg.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (+.f64 (-.f64 2/3 x) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) (+.f64 1 (*.f64 (+.f64 2/3 x) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 4/9) (-.f64 (+.f64 x -1) 2/3))
(/.f64 (-.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) 1) (+.f64 (+.f64 2/3 x) 1))
(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 (+.f64 x -1) 2/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 2/3)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 2/3)

simplify56.0ms (2.6%)

Algorithm
egg-herbie
Rules
924×div-sub
870×fma-neg
698×associate-*r*
646×associate-*l*
630×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
097774
1253682
2893680
35372680
Stop Event
node limit
Counts
46 → 45
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 x 1/3)
(-.f64 (+.f64 2/3 x) 1)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(-.f64 (/.f64 4/9 (+.f64 (-.f64 2/3 x) 1)) (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (-.f64 2/3 x) 1)))
(*.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 -1) 3) 8/27) (/.f64 1 (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3)))))
(*.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (+.f64 (-.f64 2/3 x) 1)))
(/.f64 1 (/.f64 (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3))) (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27)))
(/.f64 1 (/.f64 (+.f64 (-.f64 2/3 x) 1) (-.f64 4/9 (pow.f64 (+.f64 x -1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 4/9 (+.f64 (*.f64 2/3 x) -2/3))))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (+.f64 (-.f64 2/3 x) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27)) (neg.f64 (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3)))))
(/.f64 (neg.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (+.f64 (-.f64 2/3 x) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) (+.f64 1 (*.f64 (+.f64 2/3 x) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 4/9) (-.f64 (+.f64 x -1) 2/3))
(/.f64 (-.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) 1) (+.f64 (+.f64 2/3 x) 1))
(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 (+.f64 x -1) 2/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 2/3)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 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)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 2/3 x) 1)
(+.f64 -1/3 x)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 4/9 (+.f64 (-.f64 2/3 x) 1)) (/.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (-.f64 2/3 x) 1)))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 2/3 (-.f64 x 1)))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 5/3 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 -1) 3) 8/27) (/.f64 1 (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) 1) (+.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -5/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (fma.f64 (+.f64 x -1) (+.f64 x -5/3) 4/9))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) -8/27) (fma.f64 (-.f64 5/3 x) (+.f64 x -1) -4/9))
(*.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (+.f64 (-.f64 2/3 x) 1)))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 2/3 (-.f64 x 1)))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 5/3 x))
(/.f64 1 (/.f64 (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3))) (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) 1) (+.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -5/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (fma.f64 (+.f64 x -1) (+.f64 x -5/3) 4/9))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) -8/27) (fma.f64 (-.f64 5/3 x) (+.f64 x -1) -4/9))
(/.f64 1 (/.f64 (+.f64 (-.f64 2/3 x) 1) (-.f64 4/9 (pow.f64 (+.f64 x -1) 2))))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 2/3 (-.f64 x 1)))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 5/3 x))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) 1) (+.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -5/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (fma.f64 (+.f64 x -1) (+.f64 x -5/3) 4/9))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) -8/27) (fma.f64 (-.f64 5/3 x) (+.f64 x -1) -4/9))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 4/9 (+.f64 (*.f64 2/3 x) -2/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) 1) (+.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -5/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (fma.f64 (+.f64 x -1) (+.f64 x -5/3) 4/9))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) -8/27) (fma.f64 (-.f64 5/3 x) (+.f64 x -1) -4/9))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (+.f64 (-.f64 2/3 x) 1))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 2/3 (-.f64 x 1)))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 5/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27)) (neg.f64 (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) 1) (+.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -5/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) 8/27) (fma.f64 (+.f64 x -1) (+.f64 x -5/3) 4/9))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) -8/27) (fma.f64 (-.f64 5/3 x) (+.f64 x -1) -4/9))
(/.f64 (neg.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (+.f64 (-.f64 2/3 x) 1)))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 2/3 (-.f64 x 1)))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 5/3 x))
(/.f64 (-.f64 (pow.f64 (+.f64 2/3 x) 3) 1) (+.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) (+.f64 1 (*.f64 (+.f64 2/3 x) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1) (fma.f64 (+.f64 x 2/3) (+.f64 x 2/3) (+.f64 2/3 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 2/3) 3)) (fma.f64 (+.f64 x 2/3) (+.f64 x 2/3) (+.f64 x 5/3)))
(/.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 -1) 2) 4/9) (-.f64 (+.f64 x -1) 2/3))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 2/3 (-.f64 x 1)))
(/.f64 (-.f64 4/9 (pow.f64 (+.f64 x -1) 2)) (-.f64 5/3 x))
(/.f64 (-.f64 (*.f64 (+.f64 2/3 x) (+.f64 2/3 x)) 1) (+.f64 (+.f64 2/3 x) 1))
(+.f64 -1/3 x)
(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 (+.f64 x -1) 2/3)
(+.f64 -1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 2/3)
(+.f64 -1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 2/3)
(+.f64 -1/3 x)

eval18.0ms (0.8%)

Compiler

Compiled 507 to 420 computations (17.2% saved)

prune9.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New45045
Fresh022
Picked011
Done033
Total45651
Accurracy
100.0%
Counts
51 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
99.3%
(-.f64 (+.f64 x 2/3) 1)
100.0%
(+.f64 x -1/3)
99.3%
(+.f64 2/3 (-.f64 x 1))
55.5%
x
46.0%
-1/3
Compiler

Compiled 80 to 59 computations (26.3% saved)

regimes12.0ms (0.6%)

Counts
9 → 1
Calls
Call 1
Inputs
-1/3
x
(+.f64 x -1/3)
(+.f64 2/3 (-.f64 x 1))
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(/.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)))
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 58 to 42 computations (27.6% saved)

regimes10.0ms (0.4%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.0%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
46.0%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch62.0ms (2.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.5983781630245163e-18
1.2810674111974754
48.0ms
-100660022.39135778
-0.1094146905883768
Results
59.0ms304×body256valid
Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify6.0ms (0.3%)

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 -6124895493223875/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) -1/3 x))
-1/3
Outputs
(+.f64 x -1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) -1/3 x))
-1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness13.0ms (0.6%)

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%)

preprocess33.0ms (1.6%)

Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

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