Details

Time bar (total: 2.7s)

analyze3.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample734.0ms (27.5%)

Results
722.0ms8256×body256valid
Bogosity

preprocess13.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
087
1147
2157
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 x (/.f64 1 3))
Outputs
(-.f64 x (/.f64 1 3))
(+.f64 x -1/3)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify29.0ms (1.1%)

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)

prune1.0ms (0%)

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)
Compiler

Compiled 4 to 3 computations (25% saved)

localize2.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 6 to 4 computations (33.3% 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)

rewrite62.0ms (2.3%)

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 (1.7%)

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)

eval7.0ms (0.3%)

Compiler

Compiled 309 to 228 computations (26.2% saved)

prune8.0ms (0.3%)

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
65.9%
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
75.0%
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
100.0%
(+.f64 x -1/3)
71.9%
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
52.7%
x
49.6%
-1/3
Compiler

Compiled 44 to 33 computations (25% saved)

localize9.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(log1p.f64 (+.f64 x -1/3))
100.0%
(+.f64 x -1/3)
96.9%
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(log1p.f64 (+.f64 x -1/3))
0.0ms
x
@0
(log1p.f64 (+.f64 x -1/3))
0.0ms
x
@-inf
(log1p.f64 (+.f64 x -1/3))
0.0ms
x
@0
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
0.0ms
x
@-inf
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

rewrite55.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1458×pow1
1358×log1p-expm1-u
1356×add-exp-log
1356×expm1-log1p-u
1332×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
115118
2179618
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(log1p.f64 (+.f64 x -1/3))
Outputs
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(-.f64 (+.f64 2/3 x) 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 -1/27 (pow.f64 x 3)) (/.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 -1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.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 -1/27 (pow.f64 x 3))) (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 (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 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.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))
(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)
(-.f64 (+.f64 1 (log.f64 (+.f64 2/3 x))) 1)
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(log.f64 (+.f64 2/3 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))

simplify75.0ms (2.8%)

Algorithm
egg-herbie
Rules
800×fma-def
580×unswap-sqr
580×log-prod
468×fma-neg
438×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01551439
13951137
212591033
350121033
Stop Event
node limit
Counts
73 → 92
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))))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(-.f64 (+.f64 2/3 x) 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 -1/27 (pow.f64 x 3)) (/.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 -1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.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 -1/27 (pow.f64 x 3))) (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 (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 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.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))
(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)
(-.f64 (+.f64 1 (log.f64 (+.f64 2/3 x))) 1)
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(log.f64 (+.f64 2/3 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))
Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (*.f64 x 3/2))
(fma.f64 x 3/2 (log.f64 2/3))
(+.f64 (log.f64 2/3) (+.f64 (*.f64 -9/8 (pow.f64 x 2)) (*.f64 3/2 x)))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (*.f64 x x) (*.f64 x 3/2)))
(+.f64 (log.f64 2/3) (fma.f64 x 3/2 (*.f64 -9/8 (*.f64 x x))))
(fma.f64 x 3/2 (fma.f64 x (*.f64 x -9/8) (log.f64 2/3)))
(+.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 (log.f64 2/3) (fma.f64 9/8 (pow.f64 x 3) (*.f64 x (+.f64 (*.f64 x -9/8) 3/2))))
(+.f64 (fma.f64 x 3/2 (log.f64 2/3)) (*.f64 (*.f64 x x) (+.f64 -9/8 (*.f64 x 9/8))))
(*.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 (log.f64 x) (/.f64 2/3 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 (log.f64 x) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (/.f64 (/.f64 -2/9 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 (log.f64 x) (+.f64 (/.f64 2/3 x) (-.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 2/9 (*.f64 x x)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (+.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 (/.f64 -2/9 x) x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 8/81 (pow.f64 x 3)) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2/3 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x))
(+.f64 (log.f64 x) (/.f64 2/3 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 (neg.f64 (log.f64 x)) (/.f64 2/3 x)) (/.f64 2/9 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (/.f64 (/.f64 -2/9 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 (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 (log.f64 x) (+.f64 (/.f64 2/3 x) (-.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 2/9 (*.f64 x x)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2/3 x) (+.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 (/.f64 -2/9 x) x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 8/81 (pow.f64 x 3)) (+.f64 (/.f64 2/3 x) (/.f64 -2/9 (*.f64 x x)))))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1/3 x)
(-.f64 (+.f64 2/3 x) 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 -1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x))) (+.f64 (pow.f64 x 3) -1/27)))
(/.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 -1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x))) (+.f64 (pow.f64 x 3) -1/27)))
(/.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 -1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x))) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 -1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x))) (+.f64 (pow.f64 x 3) -1/27)))
(/.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 -1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 -1/3 x))) (+.f64 (pow.f64 x 3) -1/27)))
(/.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 (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 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))
(/.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)
(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)
(-.f64 (+.f64 1 (log.f64 (+.f64 2/3 x))) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (log.f64 (+.f64 2/3 x)) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 1 (log.f64 (+.f64 2/3 x)))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) (sqrt.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (log.f64 (+.f64 2/3 x)) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2/3 x))) 3)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3) 1/3)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2/3 x))) 2)
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 2))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(log.f64 (+.f64 2/3 x))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2/3 x)) 3))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))
(exp.f64 (log.f64 (log.f64 (+.f64 2/3 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x 2/3)) 1))
(log.f64 (+.f64 x 2/3))

localize35.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 x 1/3)
99.7%
(/.f64 1/9 (+.f64 x 1/3))
76.6%
(/.f64 (*.f64 x x) (+.f64 x 1/3))
Compiler

Compiled 35 to 21 computations (40% saved)

series1.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite79.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1204×unpow-prod-down
886×log-prod
524×pow-prod-down
416×pow-prod-up
390×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
120339
2269139
Stop Event
node limit
Counts
3 → 173
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (+.f64 x 1/3))
(/.f64 1/9 (+.f64 x 1/3))
(+.f64 x 1/3)
Outputs
(+.f64 0 (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1/3) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1/3))))
(*.f64 x (pow.f64 (/.f64 1 (/.f64 (+.f64 x 1/3) x)) 1))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) 1)
(*.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (+.f64 x 1/3))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 x (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (+.f64 x 1/3))))
(*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (/.f64 1 (neg.f64 (+.f64 x 1/3))) 1))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (pow.f64 x -2) -1))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1/3)))
(*.f64 (/.f64 x (+.f64 x 1/3)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (+.f64 x 1/3) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1/3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 x 1) 1) (pow.f64 (/.f64 x (+.f64 x 1/3)) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 x 1/3)) 1) x)
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x 1/3))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) 1) (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1/3))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) -1/2) 1) (pow.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1/3))) 1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1/3)) 1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) 1) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1/3))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1/3))) 1))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 1/27 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) 1) (+.f64 x -1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 2) 3) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 6)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) x) 2) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) 5/2) 1/3) (cbrt.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) (pow.f64 x -2))) 2) -1) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 (/.f64 (+.f64 x 1/3) x)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (+.f64 x 1/3) (cbrt.f64 (*.f64 x x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (*.f64 x x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (*.f64 x x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) x) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (*.f64 x x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (cbrt.f64 (*.f64 x x))) -1))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 6) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 2)
(pow.f64 (*.f64 (+.f64 x 1/3) (pow.f64 x -2)) -1)
(pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1/3) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (+.f64 x 1/3) (pow.f64 x -2)) 1) -1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 6))
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1/3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) (pow.f64 x -2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(+.f64 0 (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/9 (+.f64 x 1/3)))) 1)
(*.f64 1/9 (/.f64 1 (+.f64 x 1/3)))
(*.f64 (/.f64 1/9 (+.f64 x 1/3)) 1)
(*.f64 1 (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2))))
(*.f64 (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2))) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 -1/9 (/.f64 1 (neg.f64 (+.f64 x 1/3))))
(*.f64 -1/9 (pow.f64 (/.f64 1 (neg.f64 (+.f64 x 1/3))) 1))
(*.f64 (/.f64 1 (+.f64 x 1/3)) 1/9)
(*.f64 (/.f64 1/9 (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (/.f64 1/9 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (pow.f64 1 1/3) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 1/9 (+.f64 1/27 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 1/9 (fma.f64 x x -1/9)) 1) (+.f64 x -1/3))
(*.f64 (pow.f64 (cbrt.f64 1/9) 3) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 2) 3) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)) 1/9) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/9 (+.f64 x 1/3)) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 5/2) 1/3) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) 9)) 2) -1) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))))
(pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) 3)
(pow.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))) 2)
(pow.f64 (*.f64 (+.f64 x 1/3) 9) -1)
(pow.f64 (/.f64 (*.f64 (+.f64 x 1/3) 9) 1) -1)
(sqrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)))
(log.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/9 (+.f64 x 1/3))))
(exp.f64 (log.f64 (/.f64 1/9 (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 x 1/3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 x 1/3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/9 (+.f64 x 1/3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) 9)) -1))
(log1p.f64 (expm1.f64 (/.f64 1/9 (+.f64 x 1/3))))
(-.f64 (exp.f64 (log1p.f64 (+.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 1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))) 1))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (pow.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) 2) 3) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.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 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 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) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 x 1 1/3)
(fma.f64 1 x 1/3)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (*.f64 x x))) 1/3)

simplify96.0ms (3.6%)

Algorithm
egg-herbie
Rules
1060×distribute-lft-in
746×sqr-pow
650×log-prod
464×associate-*r*
458×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04815177
111854871
241464771
Stop Event
node limit
Counts
209 → 290
Calls
Call 1
Inputs
(*.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)
(+.f64 0 (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1/3) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1/3))))
(*.f64 x (pow.f64 (/.f64 1 (/.f64 (+.f64 x 1/3) x)) 1))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) 1)
(*.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (+.f64 x 1/3))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 x (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (+.f64 x 1/3))))
(*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (/.f64 1 (neg.f64 (+.f64 x 1/3))) 1))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (pow.f64 x -2) -1))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1/3)))
(*.f64 (/.f64 x (+.f64 x 1/3)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (+.f64 x 1/3) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1/3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 x 1) 1) (pow.f64 (/.f64 x (+.f64 x 1/3)) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 x 1/3)) 1) x)
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x 1/3))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) 1) (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1/3))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) -1/2) 1) (pow.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1/3))) 1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1/3)) 1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) 1) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1/3))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1/3))) 1))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 1/27 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) 1) (+.f64 x -1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 2) 3) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 6)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) x) 2) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) 5/2) 1/3) (cbrt.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) (pow.f64 x -2))) 2) -1) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (pow.f64 (/.f64 1 x) -1) (/.f64 1 (/.f64 (+.f64 x 1/3) x)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (+.f64 x 1/3) (cbrt.f64 (*.f64 x x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (*.f64 x x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (*.f64 x x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) x) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (*.f64 x x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x 1/3)) (cbrt.f64 (*.f64 x x))) -1))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 6) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 2)
(pow.f64 (*.f64 (+.f64 x 1/3) (pow.f64 x -2)) -1)
(pow.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1/3) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (+.f64 x 1/3) (pow.f64 x -2)) 1) -1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 6))
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1/3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) (pow.f64 x -2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(+.f64 0 (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/9 (+.f64 x 1/3)))) 1)
(*.f64 1/9 (/.f64 1 (+.f64 x 1/3)))
(*.f64 (/.f64 1/9 (+.f64 x 1/3)) 1)
(*.f64 1 (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2))))
(*.f64 (cbrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2))) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))))
(*.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))) (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 -1/9 (/.f64 1 (neg.f64 (+.f64 x 1/3))))
(*.f64 -1/9 (pow.f64 (/.f64 1 (neg.f64 (+.f64 x 1/3))) 1))
(*.f64 (/.f64 1 (+.f64 x 1/3)) 1/9)
(*.f64 (/.f64 1/9 (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (/.f64 1/9 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (pow.f64 1 1/3) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 1/9 (+.f64 1/27 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 1/9 (fma.f64 x x -1/9)) 1) (+.f64 x -1/3))
(*.f64 (pow.f64 (cbrt.f64 1/9) 3) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 2) 3) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)) 1/9) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/9 (+.f64 x 1/3)) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 5/2) 1/3) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) 9)) 2) -1) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))))
(pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) 3)
(pow.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))) 2)
(pow.f64 (*.f64 (+.f64 x 1/3) 9) -1)
(pow.f64 (/.f64 (*.f64 (+.f64 x 1/3) 9) 1) -1)
(sqrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)))
(log.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/9 (+.f64 x 1/3))))
(exp.f64 (log.f64 (/.f64 1/9 (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 x 1/3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 x 1/3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/9 (+.f64 x 1/3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) 9)) -1))
(log1p.f64 (expm1.f64 (/.f64 1/9 (+.f64 x 1/3))))
(-.f64 (exp.f64 (log1p.f64 (+.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 1/27 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))) 1))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (pow.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) 2) 3) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.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 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x 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) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 x 1 1/3)
(fma.f64 1 x 1/3)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (*.f64 x x))) 1/3)
Outputs
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(+.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 x -1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(+.f64 (/.f64 1/9 x) (+.f64 x -1/3))
(+.f64 x (-.f64 (/.f64 1/9 x) 1/3))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1/9 x) (+.f64 x -1/3)) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (-.f64 (+.f64 x -1/3) (/.f64 1/27 (*.f64 x x))))
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) 1/3)
(+.f64 (/.f64 1/9 x) (+.f64 x -1/3))
(+.f64 x (-.f64 (/.f64 1/9 x) 1/3))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) x) (+.f64 1/3 (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1/9 x) (+.f64 x -1/3)) (/.f64 1/27 (*.f64 x x)))
(+.f64 (/.f64 1/9 x) (-.f64 (+.f64 x -1/3) (/.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 (-.f64 (*.f64 -9 (pow.f64 x 3)) x) (fma.f64 3 (*.f64 x x) 1/3))
(/.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 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (/.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 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/243 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.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 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (/.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 1/81 (pow.f64 x 3)) (-.f64 (/.f64 1/9 x) (+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/243 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/9 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.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)
(+.f64 0 (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)))) 1)
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 x (/.f64 1 (/.f64 (+.f64 x 1/3) x)))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 x 1/3))))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 x (pow.f64 (/.f64 1 (/.f64 (+.f64 x 1/3) x)) 1))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1/3)))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) 1)
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 1 (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x 1/3)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x 1/3)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) 4)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 x 1/3)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1/3)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1/3))) (/.f64 x (sqrt.f64 (+.f64 x 1/3))))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (+.f64 x 1/3))))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (neg.f64 (*.f64 x x)) (pow.f64 (/.f64 1 (neg.f64 (+.f64 x 1/3))) 1))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (/.f64 1 (+.f64 x 1/3)) (pow.f64 (pow.f64 x -2) -1))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1/3)))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (/.f64 x (+.f64 x 1/3)) x)
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1/3))))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) (/.f64 x (/.f64 (cbrt.f64 (+.f64 x 1/3)) x)))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) x) -2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (pow.f64 (+.f64 x 1/3) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (+.f64 x 1/3) -1/2) (/.f64 x (/.f64 (sqrt.f64 (+.f64 x 1/3)) x)))
(*.f64 (pow.f64 (+.f64 x 1/3) -1/2) (*.f64 x (/.f64 x (sqrt.f64 (+.f64 x 1/3)))))
(/.f64 (pow.f64 (+.f64 x 1/3) -1/2) (/.f64 (sqrt.f64 (+.f64 x 1/3)) (*.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 x 1/3)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1/3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 x 1/3) x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x 1/3)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1/3))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 x 1/3)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 3) 1/27)) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x 3) 1/27)) x) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (*.f64 (/.f64 x (fma.f64 x x -1/9)) x) (+.f64 x -1/3))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3)))
(*.f64 (pow.f64 1 1/3) (/.f64 (*.f64 x x) (+.f64 x 1/3)))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 x 1) 1) (pow.f64 (/.f64 x (+.f64 x 1/3)) 1))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 x (+.f64 x 1/3)) 1) x)
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x 1/3))) 1))
(/.f64 x (/.f64 (+.f64 x 1/3) x))
(*.f64 x (/.f64 x (+.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) 1) (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 x 1/3))) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -2) (/.f64 x (/.f64 (cbrt.f64 (+.f64 x 1/3)) x)))
(/.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x 1/3)) x) -2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) -1/2) 1) (pow.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x 1/3))) 1))
(*.f64 (pow.f64 (+.f64 x 1/3) -1/2) (/.f64 x (/.f64 (sqrt.f64 (+.f64 x 1/3)) x)))
(*.f64 (pow.f64 (+.f64 x 1/3) -1/2) (*.f64 x (/.f64 x (sqrt.f64 (+.f64 x 1/3)))))
(/.f64 (pow.f64 (+.f64 x 1/3) -1/2) (/.f64 (sqrt.f64 (+.f64 x 1/3)) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1/3)) 1))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (+.f64 x 1/3)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1/3)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) 1) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3))))
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(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/9 (+.f64 x 1/3)) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/9 (+.f64 x 1/3)) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 5/2) 1/3) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 5/2)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) 9)) 2) -1) (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1/3) 9)) 2)))
(*.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (*.f64 x 9))) 2)))
(/.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (+.f64 3 (*.f64 9 x))) 2))
(pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 1)
(/.f64 1/9 (+.f64 x 1/3))
(pow.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3))) 3)
(/.f64 1/9 (+.f64 x 1/3))
(pow.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)) 1/2)
(sqrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)))
(fabs.f64 (/.f64 1/9 (+.f64 x 1/3)))
(pow.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3) 1/3)
(/.f64 1/9 (+.f64 x 1/3))
(pow.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3))) 2)
(/.f64 1/9 (+.f64 x 1/3))
(pow.f64 (*.f64 (+.f64 x 1/3) 9) -1)
(/.f64 1/9 (+.f64 x 1/3))
(pow.f64 (/.f64 (*.f64 (+.f64 x 1/3) 9) 1) -1)
(/.f64 1/9 (+.f64 x 1/3))
(sqrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x 1/3) -2)))
(fabs.f64 (/.f64 1/9 (+.f64 x 1/3)))
(log.f64 (exp.f64 (/.f64 1/9 (+.f64 x 1/3))))
(/.f64 1/9 (+.f64 x 1/3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 (+.f64 x 1/3)))))
(/.f64 1/9 (+.f64 x 1/3))
(cbrt.f64 (pow.f64 (/.f64 1/9 (+.f64 x 1/3)) 3))
(/.f64 1/9 (+.f64 x 1/3))
(expm1.f64 (log1p.f64 (/.f64 1/9 (+.f64 x 1/3))))
(/.f64 1/9 (+.f64 x 1/3))
(exp.f64 (log.f64 (/.f64 1/9 (+.f64 x 1/3))))
(/.f64 1/9 (+.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 x 1/3))) 1))
(/.f64 1/9 (+.f64 x 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 (+.f64 x 1/3))) 1) 1))
(/.f64 1/9 (+.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/9 (+.f64 x 1/3)))) 3))
(/.f64 1/9 (+.f64 x 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/9 (+.f64 x 1/3)))) 1/3))
(/.f64 1/9 (+.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 (+.f64 x 1/3)))) 2))
(/.f64 1/9 (+.f64 x 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 1/3) 9)) -1))
(/.f64 1/9 (+.f64 x 1/3))
(log1p.f64 (expm1.f64 (/.f64 1/9 (+.f64 x 1/3))))
(/.f64 1/9 (+.f64 x 1/3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(+.f64 x 1/3)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 x (/.f64 (+.f64 x -1/3) x)) (/.f64 1/9 (-.f64 1/3 x)))
(fma.f64 (/.f64 x (+.f64 x -1/3)) x (/.f64 -1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 x 1/3)
(*.f64 1 (+.f64 x 1/3))
(+.f64 x 1/3)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 x 1/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(*.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 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (+.f64 1/27 (pow.f64 x 3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))) 1))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.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 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (fma.f64 x x -1/9) (pow.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(+.f64 x 1/3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) 2) 3) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(+.f64 x 1/3)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(/.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 x 1/3))))
(/.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 (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 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.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 x 1/3))))
(/.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 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (-.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 x 1/3))))
(/.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 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 x 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 x 1/3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 2) 1/2)
(+.f64 x 1/3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 x 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 x 1/3)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 1/27 (pow.f64 x 3))) -1)
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 x 1/3)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(+.f64 x 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 x 1/3)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(+.f64 x 1/3)
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1) 1))
(+.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(+.f64 x 1/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(+.f64 x 1/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(+.f64 x 1/3)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(fma.f64 x 1 1/3)
(+.f64 x 1/3)
(fma.f64 1 x 1/3)
(+.f64 x 1/3)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 1/3)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 x 1/3)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (cbrt.f64 (*.f64 x x))) 1/3)

localize51.0ms (1.9%)

Local Accuracy

Found 4 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)
67.4%
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x -1/3))))
Compiler

Compiled 51 to 32 computations (37.3% saved)

series3.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite136.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
1474×fma-def
1398×log-prod
550×expm1-udef
542×log1p-udef
486×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01476
134168
2447468
Stop Event
node limit
Counts
4 → 315
Calls
Call 1
Inputs
(/.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 0 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.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 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (/.f64 1 (cbrt.f64 (pow.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) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))) (cbrt.f64 (/.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) (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)) (cbrt.f64 (pow.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))))
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(fma.f64 -1 (*.f64 x -1/3) (*.f64 x x))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.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 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 x -1/3)) (*.f64 x x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/3))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 x 1/3) 1))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x 1/3 (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 x 1/3 (*.f64 x -1/3)))))

simplify156.0ms (5.9%)

Algorithm
egg-herbie
Rules
964×fma-neg
658×distribute-lft-neg-in
634×log-prod
562×fma-def
390×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05678457
113118085
244057905
Stop Event
node limit
Counts
363 → 368
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 -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 0 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.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 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (/.f64 1 (cbrt.f64 (pow.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) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))) (cbrt.f64 (/.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) (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)) (cbrt.f64 (pow.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 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 2)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x 1/3) 1/9) (+.f64 (pow.f64 x 3) -1/27)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3) (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(+.f64 0 (*.f64 x -1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(pow.f64 (*.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) -1/27) 1/3)
(sqrt.f64 (*.f64 1/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/27))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(exp.f64 (log.f64 (*.f64 x -1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(-.f64 (*.f64 x x) (fma.f64 x -1/3 -1/9))
(-.f64 (fma.f64 x x 1/9) (*.f64 x -1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) 1)
(-.f64 (/.f64 1/81 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))) (/.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2) (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(*.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(*.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3)) (/.f64 1 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(*.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (/.f64 1 (-.f64 1/9 (*.f64 x (+.f64 x 1/3)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81) (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))))
(/.f64 1 (/.f64 (-.f64 1/9 (*.f64 x (+.f64 x 1/3))) (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))))
(/.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3)) (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81))
(/.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 (*.f64 1/9 x) (+.f64 x 1/3)))))
(/.f64 (-.f64 1/81 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)) (-.f64 1/9 (*.f64 x (+.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 1/729 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))) (neg.f64 (fma.f64 (*.f64 x (+.f64 x 1/3)) (fma.f64 x (+.f64 x 1/3) -1/9) 1/81)))
(/.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)))))
(/.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 x -1/3)))))
(/.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 (fma.f64 x x 1/9) (fma.f64 x x 1/9)) (*.f64 1/9 (*.f64 x x))) (+.f64 (fma.f64 x x 1/9) (*.f64 x -1/3)))
(pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))
(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))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) (exp.f64 (fma.f64 x 1/3 (*.f64 x -1/3)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (exp.f64 (fma.f64 x 1/3 (*.f64 x -1/3)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x x 1/9)) (exp.f64 (*.f64 x 1/3))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x x 1/9)) (/.f64 1 (pow.f64 (exp.f64 -1/3) x))))
(log.f64 (/.f64 (exp.f64 (fma.f64 x x 1/9)) (+.f64 1 (expm1.f64 (*.f64 x -1/3)))))
(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 x (fma.f64 x 1/3 1/9))
(fma.f64 x x (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 x (+.f64 x 1/3) 1/9)
(fma.f64 x (+.f64 x 1/3) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (*.f64 x x) 1 (fma.f64 x 1/3 1/9))
(fma.f64 (*.f64 x x) 1 (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (*.f64 x (+.f64 x 1/3)) 1 1/9)
(fma.f64 (*.f64 x (+.f64 x 1/3)) 1 (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 1 (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 1 (*.f64 x x) (fma.f64 x 1/3 1/9))
(fma.f64 1 (*.f64 x x) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) 1/9)
(fma.f64 1 (*.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 1 (fma.f64 x x 1/9) (*.f64 x 1/3))
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2) 1/9)
(fma.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2) (+.f64 (fma.f64 x 1/3 (*.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 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 2) (cbrt.f64 (*.f64 x (+.f64 x 1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 1/3 1/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (fma.f64 x -1/3 -1/9)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (fma.f64 x 1/3 1/9))
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (fma.f64 x 1/3 (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 x 1/3 (*.f64 x -1/3)))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x 1/3) 1))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 1/3 (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 x 1/3 (*.f64 x -1/3)))))
(fma.f64 (sqrt.f64 (*.f64 x -1/3)) (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (*.f64 x x))
(fma.f64 1/3 x (*.f64 x x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 (*.f64 x 1/3) 1))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 x 1/3 (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 x 1/3 (*.f64 x -1/3)))))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.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 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 (*.f64 x 1/3) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 1/3 (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 x 1/3 (*.f64 x -1/3)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(fma.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (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 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(fma.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.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 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (neg.f64 x) -1/3 (*.f64 x x))
(fma.f64 (+.f64 x 1/3) x (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (+.f64 x 1/3) x (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(fma.f64 (+.f64 x 1/3) x (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 (+.f64 x 1/3) x (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(fma.f64 (+.f64 x 1/3) x (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/3 (*.f64 x -1/3))) (cbrt.f64 (fma.f64 x 1/3 (*.f64 x -1/3)))) (cbrt.f64 (fma.f64 x 1/3 (*.f64 x -1/3))) (*.f64 x (+.f64 x 1/3)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (*.f64 x 1/3)) (*.f64 x x))
(fma.f64 (sqrt.f64 (fma.f64 x 1/3 (*.f64 x -1/3))) (sqrt.f64 (fma.f64 x 1/3 (*.f64 x -1/3))) (*.f64 x (+.f64 x 1/3)))
(fma.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)) (*.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x x))
(fma.f64 -1 (*.f64 x -1/3) (*.f64 x x))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (fma.f64 x 1/3 (*.f64 x -1/3)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.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 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 x -1/3)) (*.f64 x x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/3))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 x 1/3) 1))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x 1/3 (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 x 1/3 (*.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 -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))
(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 0 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))) 1)
(/.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 (+.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 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)) 1)
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 2))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (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 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (neg.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)) (+.f64 (pow.f64 x 3) -1/27))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (/.f64 1 (cbrt.f64 (pow.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 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)))) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)))
(*.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 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) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2)) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 1/3) 1/9) 2)))
(*.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))))
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(*.f64 x (+.f64 x 1/3))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 1/3))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 (*.f64 x 1/3) 1))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 1/3 (fma.f64 x 1/3 (*.f64 x -1/3))))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 x 1/3 (*.f64 x -1/3)))))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) (fma.f64 x 1/3 (*.f64 x -1/3)))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.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 x (+.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1/3)) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (fma.f64 x 1/3 (*.f64 x -1/3)))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 (*.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 (*.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (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 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 (*.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 (*.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 x -1/3) (*.f64 x (+.f64 x -1/3)) (pow.f64 x 4))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(*.f64 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 (*.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 (*.f64 -1/3 x) (*.f64 x (+.f64 -1/3 x)) (pow.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) (fma.f64 x 1/3 (*.f64 x -1/3)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/9) x)) (/.f64 (/.f64 1 x) (+.f64 -1/3 x)))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/9) x)) (/.f64 (/.f64 1 x) (+.f64 -1/3 x)))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.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 (pow.f64 x 4) (*.f64 (*.f64 x 1/9) x)) (/.f64 (/.f64 1 x) (+.f64 -1/3 x)))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/9) x)) (/.f64 (/.f64 1 x) (+.f64 -1/3 x)))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(fma.f64 (-.f64 (pow.f64 x 4) (*.f64 1/9 (*.f64 x x))) (/.f64 1 (*.f64 x (+.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(*.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x 1/9) x)) (/.f64 (/.f64 1 x) (+.f64 -1/3 x)))
(/.f64 (+.f64 (pow.f64 x 4) (*.f64 -1/9 (*.f64 x x))) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(fma.f64 (neg.f64 x) -1/3 (*.f64 x x))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (+.f64 x 1/3) x (fma.f64 x 1/3 (*.f64 x -1/3)))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (+.f64 x 1/3) x (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (+.f64 x 1/3) x (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -1/3))) (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (*.f64 x -1/3)))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (+.f64 x 1/3) x (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (+.f64 x 1/3) x (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/3 (*.f64 x -1/3))) (cbrt.f64 (fma.f64 x 1/3 (*.f64 x -1/3)))) (cbrt.f64 (fma.f64 x 1/3 (*.f64 x -1/3))) (*.f64 x (+.f64 x 1/3)))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3))) (cbrt.f64 (*.f64 x 1/3)) (*.f64 x x))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (sqrt.f64 (fma.f64 x 1/3 (*.f64 x -1/3))) (sqrt.f64 (fma.f64 x 1/3 (*.f64 x -1/3))) (*.f64 x (+.f64 x 1/3)))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)) (*.f64 x x))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/3))) (sqrt.f64 (*.f64 x -1/3)) (*.f64 x x))
(*.f64 x (+.f64 x 1/3))
(fma.f64 -1 (*.f64 x -1/3) (*.f64 x x))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (fma.f64 x 1/3 (*.f64 x -1/3)))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (fma.f64 (*.f64 x 1/3) 1 (*.f64 x -1/3)))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.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 x (+.f64 x 1/3))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (*.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) 1))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (+.f64 x (sqrt.f64 (*.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))) (+.f64 (fma.f64 x 1/3 (*.f64 x -1/3)) (fma.f64 x 1/3 (*.f64 x -1/3))))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 x -1/3)) (*.f64 x x))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 x 1/3) 1))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x 1/3 (fma.f64 x 1/3 (*.f64 x -1/3))))
(*.f64 x (+.f64 x 1/3))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 x -1/3) (fma.f64 x 1/3 (*.f64 x -1/3)))))
(*.f64 x (+.f64 x 1/3))

eval462.0ms (17.3%)

Compiler

Compiled 17010 to 12453 computations (26.8% saved)

prune207.0ms (7.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New8491850
Fresh022
Picked101
Done213
Total8524856
Accurracy
100.0%
Counts
856 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(-.f64 (+.f64 2/3 x) 1)
100.0%
(+.f64 x -1/3)
52.7%
x
49.6%
-1/3
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize27.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 2/3 x)
99.3%
(-.f64 (+.f64 2/3 x) 1)
Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
2 → 15
Calls

6 calls:

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

rewrite66.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1666×pow1
1564×add-exp-log
1564×log1p-expm1-u
1564×expm1-log1p-u
1542×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
115814
2207414
Stop Event
node limit
Counts
2 → 71
Calls
Call 1
Inputs
(-.f64 (+.f64 2/3 x) 1)
(+.f64 2/3 x)
Outputs
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (*.f64 (+.f64 x -1) 1))
(+.f64 x -1/3)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1 (+.f64 2/3 x))
(+.f64 (+.f64 x -1) 2/3)
(*.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 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 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (*.f64 2/3 (+.f64 x -1)))))
(/.f64 (-.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 2/3 (+.f64 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 (log.f64 (+.f64 2/3 x)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 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 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 4/9 (-.f64 2/3 x)) (/.f64 (*.f64 x x) (-.f64 2/3 x)))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 1 (+.f64 2/3 x))
(*.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 (+.f64 4/9 (*.f64 x (-.f64 x 2/3)))))
(*.f64 (-.f64 4/9 (*.f64 x x)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 1 (/.f64 (+.f64 4/9 (*.f64 x (-.f64 x 2/3))) (+.f64 8/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (*.f64 x x))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (*.f64 x (-.f64 x 2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (+.f64 4/9 (*.f64 x (-.f64 x 2/3)))))
(/.f64 (neg.f64 (-.f64 4/9 (*.f64 x x))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (-.f64 (*.f64 x x) 4/9) (-.f64 x 2/3))
(/.f64 (*.f64 (+.f64 8/27 (pow.f64 x 3)) 1) (+.f64 4/9 (*.f64 x (-.f64 x 2/3))))
(/.f64 (*.f64 (-.f64 4/9 (*.f64 x x)) 1) (-.f64 2/3 x))
(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)

simplify48.0ms (1.8%)

Algorithm
egg-herbie
Rules
1182×distribute-lft-in
1148×distribute-rgt-in
922×fma-def
644×unswap-sqr
404×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01621354
13901226
214161222
Stop Event
node limit
Counts
86 → 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
x
x
(+.f64 2/3 (+.f64 x -1))
(+.f64 2/3 (*.f64 (+.f64 x -1) 1))
(+.f64 x -1/3)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 -1 (+.f64 2/3 x))
(+.f64 (+.f64 x -1) 2/3)
(*.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 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 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (*.f64 2/3 (+.f64 x -1)))))
(/.f64 (-.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 2/3 (+.f64 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 (log.f64 (+.f64 2/3 x)))
(exp.f64 (log.f64 (+.f64 x -1/3)))
(log1p.f64 (expm1.f64 (+.f64 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 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 4/9 (-.f64 2/3 x)) (/.f64 (*.f64 x x) (-.f64 2/3 x)))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 1 (+.f64 2/3 x))
(*.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 (+.f64 4/9 (*.f64 x (-.f64 x 2/3)))))
(*.f64 (-.f64 4/9 (*.f64 x x)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 1 (/.f64 (+.f64 4/9 (*.f64 x (-.f64 x 2/3))) (+.f64 8/27 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (*.f64 x x))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (*.f64 x (-.f64 x 2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (neg.f64 (+.f64 8/27 (pow.f64 x 3))) (neg.f64 (+.f64 4/9 (*.f64 x (-.f64 x 2/3)))))
(/.f64 (neg.f64 (-.f64 4/9 (*.f64 x x))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (-.f64 (*.f64 x x) 4/9) (-.f64 x 2/3))
(/.f64 (*.f64 (+.f64 8/27 (pow.f64 x 3)) 1) (+.f64 4/9 (*.f64 x (-.f64 x 2/3))))
(/.f64 (*.f64 (-.f64 4/9 (*.f64 x x)) 1) (-.f64 2/3 x))
(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
x
x
(+.f64 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 2/3 (*.f64 (+.f64 x -1) 1))
(+.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 (+.f64 x -1) 2/3)
(+.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 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 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 x (+.f64 (pow.f64 (+.f64 x 2/3) 2) 5/3)))
(*.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 (+.f64 x 5/3) (+.f64 -1/3 x)) (+.f64 x 5/3))
(/.f64 (*.f64 (-.f64 -5/3 x) (+.f64 -1/3 x)) (-.f64 -5/3 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 (+.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 x (+.f64 (pow.f64 (+.f64 x 2/3) 2) 5/3)))
(/.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 (+.f64 x 5/3) (+.f64 -1/3 x)) (+.f64 x 5/3))
(/.f64 (*.f64 (-.f64 -5/3 x) (+.f64 -1/3 x)) (-.f64 -5/3 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 (+.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 x (+.f64 (pow.f64 (+.f64 x 2/3) 2) 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 (+.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 x (+.f64 (pow.f64 (+.f64 x 2/3) 2) 5/3)))
(/.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 (+.f64 x 5/3) (+.f64 -1/3 x)) (+.f64 x 5/3))
(/.f64 (*.f64 (-.f64 -5/3 x) (+.f64 -1/3 x)) (-.f64 -5/3 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 (+.f64 x 5/3) (+.f64 -1/3 x)) (+.f64 x 5/3))
(/.f64 (*.f64 (-.f64 -5/3 x) (+.f64 -1/3 x)) (-.f64 -5/3 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 (+.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 x (+.f64 (pow.f64 (+.f64 x 2/3) 2) 5/3)))
(/.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 (+.f64 x 5/3) (+.f64 -1/3 x)) (+.f64 x 5/3))
(/.f64 (*.f64 (-.f64 -5/3 x) (+.f64 -1/3 x)) (-.f64 -5/3 x))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (*.f64 2/3 (+.f64 x -1)))))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (+.f64 4/9 (*.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) 2/3))))
(/.f64 (+.f64 8/27 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -5/3) 4/9))
(/.f64 (-.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 2/3 (+.f64 x -1)))
(/.f64 (-.f64 4/9 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 5/3 x))
(/.f64 (fma.f64 (+.f64 x -1) (-.f64 1 x) 4/9) (-.f64 5/3 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 (log.f64 (+.f64 2/3 x)))
(+.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 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 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(+.f64 -1/3 x)
(-.f64 (+.f64 x 5/3) 1)
(+.f64 x 2/3)
(-.f64 (/.f64 4/9 (-.f64 2/3 x)) (/.f64 (*.f64 x x) (-.f64 2/3 x)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(*.f64 (+.f64 2/3 x) 1)
(+.f64 x 2/3)
(*.f64 1 (+.f64 2/3 x))
(+.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 (+.f64 4/9 (*.f64 x (-.f64 x 2/3)))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (*.f64 x (+.f64 x -2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(*.f64 (-.f64 4/9 (*.f64 x x)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 1 (/.f64 (+.f64 4/9 (*.f64 x (-.f64 x 2/3))) (+.f64 8/27 (pow.f64 x 3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (*.f64 x (+.f64 x -2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 4/9 (*.f64 x x))))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (*.f64 x (-.f64 x 2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (*.f64 x (+.f64 x -2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 4/9 (*.f64 2/3 x))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (*.f64 x (+.f64 x -2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (-.f64 4/9 (*.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 (+.f64 4/9 (*.f64 x (-.f64 x 2/3)))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (*.f64 x (+.f64 x -2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (neg.f64 (-.f64 4/9 (*.f64 x x))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (-.f64 (*.f64 x x) 4/9) (-.f64 x 2/3))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.f64 (fma.f64 x x -4/9) (+.f64 x -2/3))
(/.f64 (*.f64 (+.f64 8/27 (pow.f64 x 3)) 1) (+.f64 4/9 (*.f64 x (-.f64 x 2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (+.f64 4/9 (*.f64 x (+.f64 x -2/3))))
(/.f64 (+.f64 8/27 (pow.f64 x 3)) (fma.f64 x (+.f64 x -2/3) 4/9))
(/.f64 (*.f64 (-.f64 4/9 (*.f64 x x)) 1) (-.f64 2/3 x))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 2/3 x))
(/.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)))
(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)

eval50.0ms (1.9%)

Compiler

Compiled 943 to 760 computations (19.4% saved)

prune12.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh022
Picked011
Done011
Total89594
Accurracy
100.0%
Counts
94 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(-.f64 (+.f64 2/3 x) 1)
48.9%
(-.f64 2/3 1)
100.0%
(+.f64 x -1/3)
52.7%
x
49.6%
-1/3
Compiler

Compiled 18 to 15 computations (16.7% saved)

localize2.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
98.4%
(-.f64 2/3 1)
Compiler

Compiled 6 to 6 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite48.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
698×pow1
698×add-sqr-sqrt
674×*-un-lft-identity
656×add-exp-log
656×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
1961
28951
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 2/3 1)
Outputs
-1/3

simplify12.0ms (0.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
-1/3
Outputs
-1/3

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New101
Fresh022
Picked011
Done022
Total156
Accurracy
100.0%
Counts
6 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(-.f64 (+.f64 2/3 x) 1)
48.9%
(-.f64 2/3 1)
100.0%
(+.f64 x -1/3)
52.7%
x
49.6%
-1/3
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes12.0ms (0.5%)

Counts
9 → 1
Calls
Call 1
Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 2/3 1)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 2/3 x) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.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))))
(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 60 to 44 computations (26.7% saved)

regimes9.0ms (0.3%)

Accuracy

Total -61.2b remaining (-9555.2%)

Threshold costs -61.2b (-9555.2%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.0%3x
Compiler

Compiled 5 to 3 computations (40% saved)

bsearch32.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
7.5009894670999404e-6
1944267830.0981288
19.0ms
-645038356859857.3
-1.1303571646583748e-17
Results
29.0ms336×body256valid
Compiler

Compiled 136 to 113 computations (16.9% saved)

simplify43.0ms (1.6%)

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 -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)

soundness13.0ms (0.5%)

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)

end19.0ms (0.7%)

Compiler

Compiled 16 to 11 computations (31.3% saved)

Profiling

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