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

Time bar (total: 3.6s)

analyze0.0ms (0%)

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

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (35.3%)

Results
1.2s8255×0valid
0.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 492.0ms
Operation ival-add, time spent: 385.0ms, 78.0% of total-time
Operation ival-div, time spent: 85.0ms, 17.0% of total-time
Operation const, time spent: 22.0ms, 4.0% of total-time
Bogosity

preprocess114.0ms (3.2%)

Algorithm
egg-herbie
Rules
74×fma-def
18×distribute-lft-neg-in
16×associate--r+
16×sub-neg
14×associate-+l-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x (/.f64 1 3))
00-0-3
00-0-(/.f64 1 3)
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01452
13040
25440
39540
413540
516340
617340
718140
818640
918740
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 1 3))
(+.f64 x (/.f64 1 3))
(+.f64 (neg.f64 x) (/.f64 1 3))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 1 3)))
Outputs
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(+.f64 x 1/3)
(+.f64 (neg.f64 x) (/.f64 1 3))
(+.f64 1/3 (neg.f64 x))
(-.f64 1/3 x)
(neg.f64 (+.f64 (neg.f64 x) (/.f64 1 3)))
(+.f64 (neg.f64 (neg.f64 x)) -1/3)
(+.f64 x -1/3)
Compiler

Compiled 32 to 27 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-div, time spent: 9.0ms, 45.0% of total-time
Operation ival-add, time spent: 9.0ms, 45.0% of total-time
Operation const, time spent: 3.0ms, 15.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x 1/3)
Compiler

Compiled 4 to 3 computations (25% saved)

localize21.0ms (0.6%)

Localize:

Found 1 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-add, time spent: 5.0ms, 94.0% of total-time
Operation const, time spent: 1.0ms, 19.0% of total-time

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite228.0ms (6.4%)

Algorithm
batch-egg-rewrite
Rules
928×frac-times
334×unpow-prod-down
283×log1p-expm1-u
283×expm1-log1p-u
267×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
16010
274810
Stop Event
node limit
Counts
1 → 85
Calls
Call 1
Inputs
(+.f64 x 1/3)
Outputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 1/9 (-.f64 1/3 x)) (/.f64 (pow.f64 x 2) (-.f64 1/3 x)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(*.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 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (pow.f64 (+.f64 x 1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x 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) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 5/2)) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (pow.f64 (+.f64 x 1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 5)) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))) 2)) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(*.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)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 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) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.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 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 x 3) 1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (*.f64 (+.f64 x -1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 x 1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (+.f64 x -1/3)) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (*.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27))) (*.f64 (sqrt.f64 (+.f64 x -1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (*.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) 1/19683) 1) (*.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) 1/27))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x -1/3)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (-.f64 (pow.f64 x 3) 1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x -1/3))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.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 (E.f64) (log.f64 (+.f64 x 1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)) -1)
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(fabs.f64 (+.f64 x 1/3))
(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)))
(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) (pow.f64 (cbrt.f64 x) 2) 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)

simplify70.0ms (2%)

Algorithm
egg-herbie
Rules
1556×times-frac
1000×fma-def
916×associate-/r*
826×unswap-sqr
408×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02753757
16993533
225133137
Stop Event
node limit
Counts
97 → 133
Calls
Call 1
Inputs
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 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 1/9 (-.f64 1/3 x)) (/.f64 (pow.f64 x 2) (-.f64 1/3 x)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(*.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 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (pow.f64 (+.f64 x 1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x 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) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 5/2)) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (pow.f64 (+.f64 x 1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 5)) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))) 2)) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(*.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)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 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) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.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 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 x 3) 1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (*.f64 (+.f64 x -1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 x 1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (+.f64 x -1/3)) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (*.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27))) (*.f64 (sqrt.f64 (+.f64 x -1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (*.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) 1/19683) 1) (*.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) 1/27))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x -1/3)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (-.f64 (pow.f64 x 3) 1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x -1/3))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.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 (E.f64) (log.f64 (+.f64 x 1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)) -1)
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(fabs.f64 (+.f64 x 1/3))
(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)))
(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) (pow.f64 (cbrt.f64 x) 2) 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 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 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 (/.f64 1/9 (-.f64 1/3 x)) (/.f64 (pow.f64 x 2) (-.f64 1/3 x)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.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 (+.f64 x 1/3) (log.f64 (E.f64)))
(+.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 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.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 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (pow.f64 (+.f64 x 1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)))
(*.f64 (pow.f64 (+.f64 1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 1/3 x) 3/2)))
(*.f64 (pow.f64 (+.f64 1/3 x) 1/4) (pow.f64 (+.f64 1/3 x) 3/4))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(+.f64 1/3 x)
(*.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 (pow.f64 (*.f64 (+.f64 1/3 x) (cbrt.f64 (+.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/3 x) 5/2)) (pow.f64 (+.f64 1/3 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/3 x) (cbrt.f64 (+.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 5/2)) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/3 x) 5/2)) (pow.f64 (+.f64 1/3 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (pow.f64 (+.f64 x 1/3) 1/4))
(*.f64 (pow.f64 (+.f64 1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 1/3 x) 3/2)))
(*.f64 (pow.f64 (+.f64 1/3 x) 1/4) (pow.f64 (+.f64 1/3 x) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 5)) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (pow.f64 (+.f64 1/3 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 5)))
(*.f64 (pow.f64 (+.f64 1/3 x) 1/6) (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 5/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))) 2)) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))) 2)) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))) (pow.f64 (cbrt.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3)))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2))
(*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x))))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x -1/3))))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (fma.f64 x -1/3 1/9)))) (hypot.f64 x (sqrt.f64 (fma.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)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.f64 x 1/3))))
(/.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) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(*.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x))))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x -1/3))))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (hypot.f64 x (sqrt.f64 (fma.f64 x -1/3 1/9)))) (hypot.f64 x (sqrt.f64 (fma.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)) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))) 2)) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))) (pow.f64 (cbrt.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3)))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.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 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.f64 x 1/3))))
(/.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 (pow.f64 x 2) (*.f64 x 1/3))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.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 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (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 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.f64 x 1/3))))
(/.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)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.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 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27))))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 x 3) 1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (pow.f64 (+.f64 1/3 x) 2))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (pow.f64 (+.f64 1/3 x) 2))) (cbrt.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (pow.f64 (+.f64 1/3 x) 2))) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1/9) (pow.f64 (+.f64 1/3 x) 2))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (+.f64 x -1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (-.f64 -1/9 (*.f64 x (-.f64 x 1/3))) (-.f64 1/3 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (*.f64 (+.f64 x -1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (+.f64 x -1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (-.f64 -1/9 (*.f64 x (-.f64 x 1/3))) (-.f64 1/3 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (*.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (fma.f64 x -1/3 1/9))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 x 1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x -1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (fma.f64 x -1/3 1/9))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (+.f64 x -1/3)) (*.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) 2))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (*.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (+.f64 x -1/3) (fma.f64 x x 1/9)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27))) (*.f64 (sqrt.f64 (+.f64 x -1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x))))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (+.f64 x -1/3))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x -1/3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (hypot.f64 x (sqrt.f64 (fma.f64 x -1/3 1/9)))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (*.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x))))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (+.f64 x -1/3))) (hypot.f64 x (sqrt.f64 (+.f64 1/9 (*.f64 x -1/3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (hypot.f64 x (sqrt.f64 (fma.f64 x -1/3 1/9)))) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 9) 1/19683) 1) (*.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) 1/27))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 9) 1/19683) (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x)) (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) 1/27)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 9) 1/19683) (+.f64 1/729 (+.f64 (*.f64 (pow.f64 x 3) -1/27) (pow.f64 x 6)))) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 9) 1/19683) (*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) -1/27 1/729))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (*.f64 (-.f64 (pow.f64 x 3) 1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x)) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27))) (neg.f64 (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 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x -1/3))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.f64 1/3 x)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.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) 2) 1/2)
(+.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)
(pow.f64 (E.f64) (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)) -1)
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (-.f64 -1/9 (*.f64 x (-.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 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x)))) (sqrt.f64 (log.f64 (+.f64 1/3 x))))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(fabs.f64 (+.f64 x 1/3))
(+.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)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(+.f64 1/3 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 x 1 1/3)
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 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)

eval53.0ms (1.5%)

Compiler

Compiled 2029 to 1577 computations (22.3% saved)

prune20.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1285133
Fresh000
Picked011
Done000
Total1286134
Accuracy
100.0%
Counts
134 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
100.0%
(+.f64 x 1/3)
78.4%
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
70.7%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
52.0%
x
49.1%
1/3
Compiler

Compiled 76 to 59 computations (22.4% saved)

localize280.0ms (7.8%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x 1/3)
99.9%
(*.f64 3 (log.f64 (+.f64 x 1/3)))
99.2%
(*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3)
97.8%
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
100.0%
(fma.f64 x x -1/9)
100.0%
(+.f64 x -1/3)
100.0%
(/.f64 1 (+.f64 x -1/3))
89.4%
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
100.0%
(fma.f64 x x -1/9)
100.0%
(+.f64 x -1/3)
99.9%
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
89.4%
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
Compiler

Compiled 92 to 67 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 218.0ms
Operation ival-add, time spent: 92.0ms, 42.0% of total-time
Operation ival-fma, time spent: 76.0ms, 35.0% of total-time
Operation ival-log, time spent: 18.0ms, 8.0% of total-time
Operation ival-mult, time spent: 13.0ms, 6.0% of total-time
Operation ival-div, time spent: 10.0ms, 5.0% of total-time
Operation const, time spent: 6.0ms, 3.0% of total-time
Operation ival-exp, time spent: 3.0ms, 1.0% of total-time

series7.0ms (0.2%)

Counts
11 → 132
Calls

33 calls:

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

rewrite165.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
1034×log1p-expm1-u
1034×expm1-log1p-u
408×prod-diff
340×expm1-udef
340×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023232
1293146
23596146
Stop Event
node limit
Counts
11 → 435
Calls
Call 1
Inputs
(/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(+.f64 x -1/3)
(fma.f64 x x -1/9)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (+.f64 x -1/3))
(+.f64 x -1/3)
(fma.f64 x x -1/9)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3)
(*.f64 3 (log.f64 (+.f64 x 1/3)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)
(*.f64 (+.f64 x -1/3) (/.f64 1 (fma.f64 x x -1/9)))
(*.f64 (/.f64 1 (+.f64 x 1/3)) 1)
(*.f64 1 (/.f64 1 (+.f64 x 1/3)))
(*.f64 -1 (/.f64 -1 (+.f64 x 1/3)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 1 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (*.f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))))
(*.f64 (+.f64 1/3 (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1/9))) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (sqrt.f64 (fma.f64 x x -1/9))) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) 1) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (cbrt.f64 (fma.f64 x x -1/9))))
(pow.f64 (/.f64 1 (+.f64 x 1/3)) 1)
(pow.f64 (+.f64 x 1/3) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) 2)
(neg.f64 (/.f64 (+.f64 x -1/3) (neg.f64 (fma.f64 x x -1/9))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x 1/3) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1/3) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x 1/3))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1/3))))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 x 2)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(+.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x -1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x -1/3))))
(-.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (fma.f64 x x -1/9)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3))))
(*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (fma.f64 x x -1/9)))
(*.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 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))) (pow.f64 (+.f64 x -1/3) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) 1) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (+.f64 1/3 (neg.f64 x))) (neg.f64 (fma.f64 x x -1/9)))
(*.f64 (*.f64 (fma.f64 x x -1/9) (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (*.f64 (fma.f64 x x -1/9) (pow.f64 (+.f64 x -1/3) -1/2)) (pow.f64 (+.f64 x -1/3) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x 1/3)))
(pow.f64 (exp.f64 3) (*.f64 1/3 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (+.f64 x 1/3) 3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(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))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (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 (neg.f64 (log.f64 (+.f64 x 1/3))) -1))
(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 x 1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.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 (+.f64 x -1/3) 1)
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 1 (/.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 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (+.f64 x -1/3)) (pow.f64 (+.f64 x -1/3) -1/2))
(/.f64 (+.f64 1/3 (neg.f64 x)) -1)
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.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 1/9 (-.f64 (pow.f64 x 2) (*.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 (pow.f64 x 2) (+.f64 1/9 (*.f64 x 1/3))))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.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)))
(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))
(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 -1/9 (pow.f64 x 2))
(+.f64 (pow.f64 x 2) -1/9)
(+.f64 (*.f64 (pow.f64 x 2) 1) -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)
(*.f64 (fma.f64 x x -1/9) 1)
(*.f64 1 (fma.f64 x x -1/9))
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) 1))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 2) 3) -1/729) (+.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) (-.f64 1/81 (*.f64 (pow.f64 x 2) -1/9))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 2) 3) 1/729) (+.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/81) (-.f64 (pow.f64 x 2) -1/9))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/81) (+.f64 (pow.f64 x 2) 1/9))
(pow.f64 (fma.f64 x x -1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 x 2)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(+.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x -1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x -1/3))))
(-.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 1 (+.f64 x 1/3)))
(/.f64 1 (neg.f64 (/.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 (/.f64 1 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 -1 (/.f64 -1 (+.f64 x 1/3)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (sqrt.f64 (+.f64 x 1/3)) (/.f64 1 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 1/3 (neg.f64 x)))
(/.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 (pow.f64 x 2) (*.f64 x 1/3))))
(/.f64 (*.f64 (fma.f64 x x -1/9) -1) (+.f64 1/3 (neg.f64 x)))
(/.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 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
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(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) (log.f64 (sqrt.f64 (+.f64 x 1/3))))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 x x -1/9)) (neg.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) 1 (*.f64 (log.f64 (+.f64 x -1/3)) 1)))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 x x -1/9)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))))))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 x x -1/9)) (neg.f64 (log.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9)))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) 1 (*.f64 (log.f64 (+.f64 x -1/3)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9)))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9)))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (log.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) 1 (*.f64 (log.f64 (+.f64 x -1/3)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (log.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(-.f64 0 (neg.f64 (log.f64 (+.f64 x 1/3))))
(-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x 1/3)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1/27)) (log.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 (+.f64 x 1/3))))
(pow.f64 (log.f64 (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3))) 2)
(neg.f64 (neg.f64 (log.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 2))
(log.f64 (+.f64 x 1/3))
(log.f64 (+.f64 1 (-.f64 (+.f64 x 1/3) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x 1/3))))
(exp.f64 (log.f64 (log.f64 (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x 1/3))) 1))
(log1p.f64 (-.f64 (+.f64 x 1/3) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)))) 1)
(pow.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 2) 9))
(log.f64 (pow.f64 (+.f64 x 1/3) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1/3) 3) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))) 1))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 3) 1))

simplify211.0ms (5.9%)

Algorithm
egg-herbie
Rules
1018×fma-neg
998×log-prod
914×times-frac
716×associate-*r*
644×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061613623
1145612743
2682612743
Stop Event
node limit
Counts
567 → 418
Calls
Call 1
Inputs
3
(+.f64 3 (*.f64 -9 x))
(+.f64 3 (+.f64 (*.f64 -9 x) (*.f64 27 (pow.f64 x 2))))
(+.f64 3 (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 (*.f64 -9 x) (*.f64 27 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))))
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
1/3
(+.f64 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)
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (+.f64 (*.f64 -27 (pow.f64 x 2)) (*.f64 -9 x)) 3)
(-.f64 (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 (*.f64 -27 (pow.f64 x 2)) (*.f64 -9 x))) 3)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
1/3
(+.f64 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)
(log.f64 1/3)
(+.f64 (log.f64 1/3) (*.f64 3 x))
(+.f64 (log.f64 1/3) (+.f64 (*.f64 -9/2 (pow.f64 x 2)) (*.f64 3 x)))
(+.f64 (log.f64 1/3) (+.f64 (*.f64 -9/2 (pow.f64 x 2)) (+.f64 (*.f64 3 x) (*.f64 9 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 x))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x)))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/3 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/3 (/.f64 1 x)))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x))))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(*.f64 3 (log.f64 1/3))
(+.f64 (*.f64 3 (log.f64 1/3)) (*.f64 9 x))
(+.f64 (*.f64 -27/2 (pow.f64 x 2)) (+.f64 (*.f64 3 (log.f64 1/3)) (*.f64 9 x)))
(+.f64 (*.f64 -27/2 (pow.f64 x 2)) (+.f64 (*.f64 3 (log.f64 1/3)) (+.f64 (*.f64 9 x) (*.f64 27 (pow.f64 x 3)))))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 1 x)) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 1 x))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)
(*.f64 (+.f64 x -1/3) (/.f64 1 (fma.f64 x x -1/9)))
(*.f64 (/.f64 1 (+.f64 x 1/3)) 1)
(*.f64 1 (/.f64 1 (+.f64 x 1/3)))
(*.f64 -1 (/.f64 -1 (+.f64 x 1/3)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) (/.f64 1 (sqrt.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (*.f64 (sqrt.f64 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9))))
(*.f64 (+.f64 1/3 (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1/9))) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (sqrt.f64 (fma.f64 x x -1/9))) (/.f64 (cbrt.f64 (+.f64 x -1/3)) (sqrt.f64 (fma.f64 x x -1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) 1) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (fma.f64 x x -1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1/3)) (cbrt.f64 (fma.f64 x x -1/9))))
(pow.f64 (/.f64 1 (+.f64 x 1/3)) 1)
(pow.f64 (+.f64 x 1/3) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) 2)
(neg.f64 (/.f64 (+.f64 x -1/3) (neg.f64 (fma.f64 x x -1/9))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x 1/3) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1/3) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x 1/3))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1/3))))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 x 2)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(+.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x -1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x -1/3))))
(-.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (fma.f64 x x -1/9)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
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(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)))
(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))
(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 -1/9 (pow.f64 x 2))
(+.f64 (pow.f64 x 2) -1/9)
(+.f64 (*.f64 (pow.f64 x 2) 1) -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)
(*.f64 (fma.f64 x x -1/9) 1)
(*.f64 1 (fma.f64 x x -1/9))
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) 1))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 2) 3) -1/729) (+.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) (-.f64 1/81 (*.f64 (pow.f64 x 2) -1/9))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 2) 3) 1/729) (+.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/81) (-.f64 (pow.f64 x 2) -1/9))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/81) (+.f64 (pow.f64 x 2) 1/9))
(pow.f64 (fma.f64 x x -1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 x 2)) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(+.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x -1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x -1/3))))
(-.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 (/.f64 1 (fma.f64 x x -1/9)) -1))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 x 1/3))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (fma.f64 x x -1/9)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3))))
(*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (fma.f64 x x -1/9)))
(*.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 (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/3))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))) (pow.f64 (+.f64 x -1/3) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (sqrt.f64 (+.f64 x -1/3))) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) 1) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (+.f64 1/3 (neg.f64 x))) (neg.f64 (fma.f64 x x -1/9)))
(*.f64 (*.f64 (fma.f64 x x -1/9) (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (*.f64 (fma.f64 x x -1/9) (pow.f64 (+.f64 x -1/3) -1/2)) (pow.f64 (+.f64 x -1/3) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2)) (cbrt.f64 (fma.f64 x x -1/9)))
(*.f64 (*.f64 (/.f64 1 (+.f64 x -1/3)) (sqrt.f64 (fma.f64 x x -1/9))) (sqrt.f64 (fma.f64 x x -1/9)))
(*.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 1 (/.f64 1 (+.f64 x 1/3)))
(/.f64 1 (neg.f64 (/.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 (/.f64 1 (+.f64 x -1/3)) (/.f64 1 (fma.f64 x x -1/9)))
(/.f64 -1 (/.f64 -1 (+.f64 x 1/3)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 (+.f64 x -1/3) (cbrt.f64 (fma.f64 x x -1/9))))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (sqrt.f64 (+.f64 x 1/3)) (/.f64 1 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 1/3 (neg.f64 x)))
(/.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 (pow.f64 x 2) (*.f64 x 1/3))))
(/.f64 (*.f64 (fma.f64 x x -1/9) -1) (+.f64 1/3 (neg.f64 x)))
(/.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 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 (pow.f64 x 3) -1/27) (+.f64 (pow.f64 x 2) (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(/.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))
(pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x 1/3)))
(pow.f64 (exp.f64 3) (*.f64 1/3 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (+.f64 x 1/3) 3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(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))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(expm1.f64 (log1p.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 0 (log.f64 (+.f64 x 1/3)))
(+.f64 (log.f64 (fma.f64 x x -1/9)) (neg.f64 (log.f64 (+.f64 x -1/3))))
(+.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (fma.f64 x x -1/9)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1/3))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) (log.f64 (sqrt.f64 (+.f64 x 1/3))))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 x x -1/9)) (neg.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) 1 (*.f64 (log.f64 (+.f64 x -1/3)) 1)))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 x x -1/9)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))))))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 x x -1/9)) (neg.f64 (log.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9)))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) 1 (*.f64 (log.f64 (+.f64 x -1/3)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9)))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9)))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (log.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) 1 (*.f64 (log.f64 (+.f64 x -1/3)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (log.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(-.f64 0 (neg.f64 (log.f64 (+.f64 x 1/3))))
(-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x 1/3)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1/27)) (log.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 (+.f64 x 1/3))))
(pow.f64 (log.f64 (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3))) 2)
(neg.f64 (neg.f64 (log.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 2))
(log.f64 (+.f64 x 1/3))
(log.f64 (+.f64 1 (-.f64 (+.f64 x 1/3) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x 1/3))))
(exp.f64 (log.f64 (log.f64 (+.f64 x 1/3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x 1/3))) 1))
(log1p.f64 (-.f64 (+.f64 x 1/3) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)))) 1)
(pow.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 2) 9))
(log.f64 (pow.f64 (+.f64 x 1/3) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1/3) 3) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 3))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))) 1))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 3) 1))
Outputs
3
(+.f64 3 (*.f64 -9 x))
(fma.f64 -9 x 3)
(+.f64 3 (+.f64 (*.f64 -9 x) (*.f64 27 (pow.f64 x 2))))
(+.f64 3 (fma.f64 -9 x (*.f64 27 (pow.f64 x 2))))
(+.f64 (fma.f64 -9 x 3) (*.f64 27 (pow.f64 x 2)))
(+.f64 3 (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 (*.f64 -9 x) (*.f64 27 (pow.f64 x 2)))))
(+.f64 3 (fma.f64 -81 (pow.f64 x 3) (fma.f64 -9 x (*.f64 27 (pow.f64 x 2)))))
(/.f64 1 x)
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(/.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 (neg.f64 (pow.f64 x 3)) -1/27) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (neg.f64 (+.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x -1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 (pow.f64 x 3) -1/27) (+.f64 (pow.f64 x 2) (+.f64 1/9 (*.f64 x -1/3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
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(pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)
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(pow.f64 (+.f64 x 1/3) 1)
(+.f64 x 1/3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
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(pow.f64 (exp.f64 3) (*.f64 1/3 (log1p.f64 (+.f64 x -2/3))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(+.f64 x 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(+.f64 x 1/3)
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(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (/.f64 1 (pow.f64 (+.f64 x -1/3) 3))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
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(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (/.f64 1 (pow.f64 (+.f64 x -1/3) 3))))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 x 1/3)
(fma.f64 1 x 1/3)
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 x 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
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(+.f64 0 (log.f64 (+.f64 x 1/3)))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1/3))))
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(log1p.f64 (+.f64 x -2/3))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) (log.f64 (sqrt.f64 (+.f64 x 1/3))))
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(+.f64 (fma.f64 1 (log.f64 (fma.f64 x x -1/9)) (neg.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) 1 (*.f64 (log.f64 (+.f64 x -1/3)) 1)))
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(+.f64 (fma.f64 1 (log.f64 (fma.f64 x x -1/9)) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (+.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (*.f64 (log.f64 (+.f64 x -1/3)) 0))
(+.f64 (fma.f64 1 (log.f64 (fma.f64 x x -1/9)) (neg.f64 (log.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9)))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) 1 (*.f64 (log.f64 (+.f64 x -1/3)) 1)))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (+.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (*.f64 (log.f64 (+.f64 x -1/3)) 0))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9)))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (+.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (*.f64 (log.f64 (+.f64 x -1/3)) 0))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9)))) (cbrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (log.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))) (fma.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) 1 (*.f64 (log.f64 (+.f64 x -1/3)) 1)))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (+.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (*.f64 (log.f64 (+.f64 x -1/3)) 0))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x -1/3))) (cbrt.f64 (log.f64 (+.f64 x -1/3)))))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (+.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (*.f64 (log.f64 (+.f64 x -1/3)) 0))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (sqrt.f64 (log.f64 (fma.f64 x x -1/9))) (neg.f64 (log.f64 (+.f64 x -1/3)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(+.f64 (-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 x -1/3)))) (sqrt.f64 (log.f64 (+.f64 x -1/3))) (log.f64 (+.f64 x -1/3))))
(-.f64 0 (neg.f64 (log.f64 (+.f64 x 1/3))))
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(-.f64 (log.f64 (fma.f64 x x -1/9)) (log.f64 (+.f64 x -1/3)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x 1/3)))) 1)
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1/27)) (log.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1/27)) (log.f64 (+.f64 1/9 (*.f64 x (+.f64 x -1/3)))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 (+.f64 x 1/3))))
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(pow.f64 (log.f64 (+.f64 x 1/3)) 1)
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 3)
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(pow.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 3) 1/3)
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3))) 2)
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(neg.f64 (neg.f64 (log.f64 (+.f64 x 1/3))))
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 2))
(fabs.f64 (log1p.f64 (+.f64 x -2/3)))
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(log.f64 (+.f64 1 (-.f64 (+.f64 x 1/3) 1)))
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 3))
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x 1/3))))
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(exp.f64 (log.f64 (log.f64 (+.f64 x 1/3))))
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x 1/3))) 1))
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(log1p.f64 (-.f64 (+.f64 x 1/3) 1))
(log.f64 (+.f64 x 1/3))
(log1p.f64 (+.f64 x -2/3))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)))) 1)
(*.f64 3 (log.f64 (+.f64 x 1/3)))
(*.f64 3 (log1p.f64 (+.f64 x -2/3)))
(pow.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 1)
(*.f64 3 (log.f64 (+.f64 x 1/3)))
(*.f64 3 (log1p.f64 (+.f64 x -2/3)))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))) 3)
(*.f64 3 (log.f64 (+.f64 x 1/3)))
(*.f64 3 (log1p.f64 (+.f64 x -2/3)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 3) 1/3)
(*.f64 3 (log.f64 (+.f64 x 1/3)))
(*.f64 3 (log1p.f64 (+.f64 x -2/3)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))) 2)
(*.f64 3 (log.f64 (+.f64 x 1/3)))
(*.f64 3 (log1p.f64 (+.f64 x -2/3)))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x 1/3)) 2) 9))
(sqrt.f64 (*.f64 9 (pow.f64 (log.f64 (+.f64 x 1/3)) 2)))
(sqrt.f64 (*.f64 9 (pow.f64 (log1p.f64 (+.f64 x -2/3)) 2)))
(log.f64 (pow.f64 (+.f64 x 1/3) 3))
(*.f64 3 (log.f64 (+.f64 x 1/3)))
(*.f64 3 (log1p.f64 (+.f64 x -2/3)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1/3) 3) 1)))
(log1p.f64 (+.f64 (pow.f64 (+.f64 x 1/3) 3) -1))
(log.f64 (+.f64 (pow.f64 (+.f64 x 1/3) 3) 0))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 3))
(*.f64 3 (log.f64 (+.f64 x 1/3)))
(*.f64 3 (log1p.f64 (+.f64 x -2/3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))))
(*.f64 3 (log.f64 (+.f64 x 1/3)))
(*.f64 3 (log1p.f64 (+.f64 x -2/3)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))))
(*.f64 3 (log.f64 (+.f64 x 1/3)))
(*.f64 3 (log1p.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3))) 1))
(*.f64 3 (log.f64 (+.f64 x 1/3)))
(*.f64 3 (log1p.f64 (+.f64 x -2/3)))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 3) 1))
(log1p.f64 (+.f64 (pow.f64 (+.f64 x 1/3) 3) -1))
(log.f64 (+.f64 (pow.f64 (+.f64 x 1/3) 3) 0))

eval239.0ms (6.7%)

Compiler

Compiled 10206 to 8183 computations (19.8% saved)

prune95.0ms (2.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New6322634
Fresh000
Picked235
Done011
Total6346640
Accuracy
100.0%
Counts
640 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
100.0%
(+.f64 x 1/3)
48.9%
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
70.9%
(exp.f64 (log1p.f64 (+.f64 x -2/3)))
52.0%
x
49.1%
1/3
Compiler

Compiled 33 to 26 computations (21.2% saved)

localize82.0ms (2.3%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x -1/3)
100.0%
(/.f64 1 (+.f64 x -1/3))
99.8%
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
100.0%
(+.f64 x -2/3)
99.3%
(log1p.f64 (+.f64 x -2/3))
97.8%
(exp.f64 (log1p.f64 (+.f64 x -2/3)))
Compiler

Compiled 35 to 27 computations (22.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
Operation ival-add, time spent: 25.0ms, 53.0% of total-time
Operation ival-log1p, time spent: 9.0ms, 19.0% of total-time
Operation ival-div, time spent: 4.0ms, 9.0% of total-time
Operation ival-exp, time spent: 4.0ms, 9.0% of total-time
Operation const, time spent: 3.0ms, 6.0% of total-time
Operation ival-mult, time spent: 2.0ms, 4.0% of total-time

series24.0ms (0.7%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
11.0ms
x
@0
(exp.f64 (log1p.f64 (+.f64 x -2/3)))
7.0ms
x
@inf
(exp.f64 (log1p.f64 (+.f64 x -2/3)))
4.0ms
x
@-inf
(exp.f64 (log1p.f64 (+.f64 x -2/3)))
0.0ms
x
@inf
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
0.0ms
x
@-inf
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))

rewrite105.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
812×log1p-expm1-u
812×expm1-log1p-u
770×log-prod
486×pow-prod-down
388×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01658
118350
2221750
Stop Event
node limit
Counts
4 → 143
Calls
Call 1
Inputs
(exp.f64 (log1p.f64 (+.f64 x -2/3)))
(log1p.f64 (+.f64 x -2/3))
(+.f64 x -2/3)
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
Outputs
(+.f64 (+.f64 x -2/3) 1)
(+.f64 1 (+.f64 x -2/3))
(+.f64 0 (+.f64 1/3 x))
(+.f64 (+.f64 1 x) -2/3)
(+.f64 1/3 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))) (cbrt.f64 (exp.f64 (+.f64 1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/3 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/3 x))) 1)
(*.f64 (+.f64 1/3 x) 1)
(*.f64 (+.f64 1/3 x) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 1/3 x))
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2) (cbrt.f64 (+.f64 1/3 x)))
(*.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (+.f64 1/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(pow.f64 (+.f64 1/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 1/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 1/3 x) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/3 x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 1/3 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x)))) (sqrt.f64 (log.f64 (+.f64 1/3 x))))
(sqrt.f64 (pow.f64 (+.f64 1/3 x) 2))
(log.f64 (exp.f64 (+.f64 1/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/3 x))))
(cbrt.f64 (pow.f64 (+.f64 1/3 x) 3))
(expm1.f64 (log1p.f64 (+.f64 1/3 x)))
(log1p.f64 (expm1.f64 (+.f64 1/3 x)))
(fma.f64 (+.f64 x -2/3) 1 1)
(fma.f64 1 (+.f64 x -2/3) 1)
(fma.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))) 1)
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)) 1)
(+.f64 (log.f64 (+.f64 1/3 x)) 0)
(+.f64 0 (log.f64 (+.f64 1/3 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1/3 x)))) (log.f64 (cbrt.f64 (+.f64 1/3 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1/3 x))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1/3 x))) (log.f64 (sqrt.f64 (+.f64 1/3 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 1/3 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 (+.f64 x -2/3) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2))) (log.f64 (-.f64 1 (+.f64 x -2/3))))
(*.f64 (log.f64 (+.f64 1/3 x)) 1)
(*.f64 (log.f64 (+.f64 1/3 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log.f64 (+.f64 1/3 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 1/3 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x))) (sqrt.f64 (log.f64 (+.f64 1/3 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 1/3 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1/3 x))))
(pow.f64 (log.f64 (+.f64 1/3 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1/3 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 1/3 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 1/3 x)) 2))
(log.f64 (+.f64 1/3 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 1/3 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 1/3 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 1/3 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 1/3 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 1/3 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1/3 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x)))) 2))
(-.f64 (+.f64 1/3 x) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))
(*.f64 (+.f64 x -2/3) 1)
(*.f64 (+.f64 x -2/3) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 x -2/3))
(*.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))
(*.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)) (+.f64 (pow.f64 x 3) -8/27)))
(/.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (+.f64 4/9 (-.f64 (pow.f64 x 2) (*.f64 x -2/3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -8/27)) (neg.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 -2/3 x))
(pow.f64 (+.f64 x -2/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -2/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)) (+.f64 (pow.f64 x 3) -8/27)) -1)
(pow.f64 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)) -1)
(sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))
(log.f64 (exp.f64 (+.f64 x -2/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -2/3))))
(cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))
(expm1.f64 (log.f64 (+.f64 1/3 x)))
(exp.f64 (log.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -2/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x -2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -2/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -2/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -2/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x -2/3)))
(fma.f64 x 1 -2/3)
(fma.f64 (+.f64 1/3 x) 1 -1)
(fma.f64 1 x -2/3)
(fma.f64 1 (+.f64 1/3 x) -1)
(fma.f64 (cbrt.f64 (+.f64 1/3 x)) (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2) (cbrt.f64 (+.f64 1/3 x)) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)
(fma.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (+.f64 1/3 x)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)
(+.f64 0 (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))) (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))))) (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 x -1/3))
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(/.f64 1/9 (+.f64 1/3 (neg.f64 x)))
(/.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.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 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(pow.f64 (/.f64 (+.f64 x -1/3) -1/9) -1)
(sqrt.f64 (pow.f64 (/.f64 -1/9 (+.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 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 2))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))

simplify94.0ms (2.6%)

Algorithm
egg-herbie
Rules
1204×unswap-sqr
830×associate-+l+
678×associate-+r+
496×fma-neg
486×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03564091
18013752
225503656
Stop Event
node limit
Counts
191 → 234
Calls
Call 1
Inputs
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)
(exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/3 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/3 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/3 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) x)))
(log.f64 1/3)
(+.f64 (log.f64 1/3) (*.f64 3 x))
(+.f64 (log.f64 1/3) (+.f64 (*.f64 -9/2 (pow.f64 x 2)) (*.f64 3 x)))
(+.f64 (log.f64 1/3) (+.f64 (*.f64 -9/2 (pow.f64 x 2)) (+.f64 (*.f64 3 x) (*.f64 9 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 x))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x)))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/3 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/3 (/.f64 1 x)))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x))))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
-2/3
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
x
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
x
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
1/3
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 x (*.f64 3 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 x (+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 9 (pow.f64 x 3)))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))))
(+.f64 (+.f64 x -2/3) 1)
(+.f64 1 (+.f64 x -2/3))
(+.f64 0 (+.f64 1/3 x))
(+.f64 (+.f64 1 x) -2/3)
(+.f64 1/3 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))) (cbrt.f64 (exp.f64 (+.f64 1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/3 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/3 x))) 1)
(*.f64 (+.f64 1/3 x) 1)
(*.f64 (+.f64 1/3 x) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 1/3 x))
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2) (cbrt.f64 (+.f64 1/3 x)))
(*.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (+.f64 1/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(pow.f64 (+.f64 1/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 1/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 1/3 x) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/3 x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 1/3 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x)))) (sqrt.f64 (log.f64 (+.f64 1/3 x))))
(sqrt.f64 (pow.f64 (+.f64 1/3 x) 2))
(log.f64 (exp.f64 (+.f64 1/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/3 x))))
(cbrt.f64 (pow.f64 (+.f64 1/3 x) 3))
(expm1.f64 (log1p.f64 (+.f64 1/3 x)))
(log1p.f64 (expm1.f64 (+.f64 1/3 x)))
(fma.f64 (+.f64 x -2/3) 1 1)
(fma.f64 1 (+.f64 x -2/3) 1)
(fma.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))) 1)
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)) 1)
(+.f64 (log.f64 (+.f64 1/3 x)) 0)
(+.f64 0 (log.f64 (+.f64 1/3 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1/3 x)))) (log.f64 (cbrt.f64 (+.f64 1/3 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1/3 x))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1/3 x))) (log.f64 (sqrt.f64 (+.f64 1/3 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 1/3 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 (+.f64 x -2/3) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2))) (log.f64 (-.f64 1 (+.f64 x -2/3))))
(*.f64 (log.f64 (+.f64 1/3 x)) 1)
(*.f64 (log.f64 (+.f64 1/3 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log.f64 (+.f64 1/3 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 2) (cbrt.f64 (log.f64 (+.f64 1/3 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x))) (sqrt.f64 (log.f64 (+.f64 1/3 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 1/3 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1/3 x))))
(pow.f64 (log.f64 (+.f64 1/3 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1/3 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 1/3 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 1/3 x)) 2))
(log.f64 (+.f64 1/3 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 1/3 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 1/3 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 1/3 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 1/3 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 1/3 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 1/3 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x)))) 2))
(-.f64 (+.f64 1/3 x) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))
(*.f64 (+.f64 x -2/3) 1)
(*.f64 (+.f64 x -2/3) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 x -2/3))
(*.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))
(*.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)) (+.f64 (pow.f64 x 3) -8/27)))
(/.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (+.f64 4/9 (-.f64 (pow.f64 x 2) (*.f64 x -2/3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -8/27)) (neg.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))
(/.f64 (-.f64 4/9 (pow.f64 x 2)) (-.f64 -2/3 x))
(pow.f64 (+.f64 x -2/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -2/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)) (+.f64 (pow.f64 x 3) -8/27)) -1)
(pow.f64 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)) -1)
(sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))
(log.f64 (exp.f64 (+.f64 x -2/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -2/3))))
(cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))
(expm1.f64 (log.f64 (+.f64 1/3 x)))
(exp.f64 (log.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -2/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x -2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x -2/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x -2/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x -2/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x -2/3)))
(fma.f64 x 1 -2/3)
(fma.f64 (+.f64 1/3 x) 1 -1)
(fma.f64 1 x -2/3)
(fma.f64 1 (+.f64 1/3 x) -1)
(fma.f64 (cbrt.f64 (+.f64 1/3 x)) (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2) (cbrt.f64 (+.f64 1/3 x)) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)
(fma.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (+.f64 1/3 x)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)
(+.f64 0 (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))) (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))))) (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 x -1/3))
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(/.f64 1/9 (+.f64 1/3 (neg.f64 x)))
(/.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.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 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(pow.f64 (/.f64 (+.f64 x -1/3) -1/9) -1)
(sqrt.f64 (pow.f64 (/.f64 -1/9 (+.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 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 2))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))
Outputs
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)
(exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 -1 (pow.f64 (/.f64 -1 x) -1))
(/.f64 -1 (/.f64 -1 x))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/3 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 1/3 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x)))
(fma.f64 -1 (pow.f64 (/.f64 -1 x) -1) (/.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 x) -1)) x))
(fma.f64 1/3 (/.f64 (/.f64 -1 (/.f64 -1 x)) x) (/.f64 -1 (/.f64 -1 x)))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/3 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 1/3 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x)))
(fma.f64 -1 (pow.f64 (/.f64 -1 x) -1) (/.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 x) -1)) x))
(fma.f64 1/3 (/.f64 (/.f64 -1 (/.f64 -1 x)) x) (/.f64 -1 (/.f64 -1 x)))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (*.f64 1/3 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 1/3 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x)))
(fma.f64 -1 (pow.f64 (/.f64 -1 x) -1) (/.f64 (*.f64 -1/3 (pow.f64 (/.f64 -1 x) -1)) x))
(fma.f64 1/3 (/.f64 (/.f64 -1 (/.f64 -1 x)) x) (/.f64 -1 (/.f64 -1 x)))
(log.f64 1/3)
(+.f64 (log.f64 1/3) (*.f64 3 x))
(+.f64 (log.f64 1/3) (*.f64 x 3))
(fma.f64 x 3 (log.f64 1/3))
(+.f64 (log.f64 1/3) (+.f64 (*.f64 -9/2 (pow.f64 x 2)) (*.f64 3 x)))
(+.f64 (log.f64 1/3) (fma.f64 -9/2 (pow.f64 x 2) (*.f64 x 3)))
(+.f64 (log.f64 1/3) (fma.f64 x 3 (*.f64 -9/2 (pow.f64 x 2))))
(+.f64 (log.f64 1/3) (*.f64 x (+.f64 3 (*.f64 x -9/2))))
(+.f64 (log.f64 1/3) (+.f64 (*.f64 -9/2 (pow.f64 x 2)) (+.f64 (*.f64 3 x) (*.f64 9 (pow.f64 x 3)))))
(+.f64 (log.f64 1/3) (fma.f64 -9/2 (pow.f64 x 2) (fma.f64 3 x (*.f64 9 (pow.f64 x 3)))))
(+.f64 (log.f64 1/3) (fma.f64 -9/2 (pow.f64 x 2) (fma.f64 x 3 (*.f64 9 (pow.f64 x 3)))))
(+.f64 (fma.f64 x 3 (log.f64 1/3)) (*.f64 (pow.f64 x 2) (+.f64 -9/2 (*.f64 x 9))))
(*.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 1/3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/3 x))
(+.f64 (log.f64 x) (/.f64 1/3 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/3 (/.f64 1 x))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 1/18 (pow.f64 x 2)))
(+.f64 (/.f64 1/3 x) (+.f64 (log.f64 x) (/.f64 -1/18 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/3 x) (/.f64 -1/18 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x)))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/3 x) (/.f64 1/81 (pow.f64 x 3)))) (/.f64 1/18 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/3 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/18 (pow.f64 x 2)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/18 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/3 (/.f64 1 x))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/3 x)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 1/3 x) (log.f64 (/.f64 -1 x))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 1/3 x))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/3 (/.f64 1 x)))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/3 x))) (/.f64 1/18 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/3 x) (/.f64 -1/18 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 1/3 x) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/18 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x))))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/3 x) (/.f64 1/81 (pow.f64 x 3)))) (/.f64 1/18 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/3 x) (-.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 1/18 (pow.f64 x 2)))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (/.f64 -1/18 (pow.f64 x 2)))))
-2/3
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
x
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
x
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
1/3
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 x (*.f64 3 (pow.f64 x 2))))
(+.f64 1/3 (fma.f64 3 (pow.f64 x 2) x))
(+.f64 1/3 (+.f64 x (+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 9 (pow.f64 x 3)))))
(+.f64 1/3 (+.f64 x (fma.f64 3 (pow.f64 x 2) (*.f64 9 (pow.f64 x 3)))))
(+.f64 x (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 x 9) 3)) 1/3))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/27 (pow.f64 x 2))))
(+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2)))
(neg.f64 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 1/27 (pow.f64 x 2)))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 1/27 (pow.f64 x 2)))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2)))) (/.f64 -1/243 (pow.f64 x 4)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/27 (pow.f64 x 2))))
(+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2)))
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(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 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 2) 1/2)
(/.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 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (/.f64 (+.f64 x -1/3) -1/9) -1)
(/.f64 -1/9 (+.f64 x -1/3))
(sqrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 2))
(/.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 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 2))
(/.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))

eval131.0ms (3.7%)

Compiler

Compiled 3774 to 3155 computations (16.4% saved)

prune44.0ms (1.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3271328
Fresh000
Picked112
Done044
Total3286334
Accuracy
100.0%
Counts
334 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
99.3%
(+.f64 (+.f64 x -2/3) 1)
100.0%
(+.f64 x 1/3)
48.9%
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
52.0%
x
49.1%
1/3
Compiler

Compiled 33 to 26 computations (21.2% saved)

localize34.0ms (0.9%)

Localize:

Found 2 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-add, time spent: 13.0ms, 90.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite72.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
584×unpow-prod-down
482×log1p-expm1-u
482×expm1-log1p-u
452×add-exp-log
442×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
19910
2128410
Stop Event
node limit
Counts
1 → 59
Calls
Call 1
Inputs
(+.f64 (+.f64 x -2/3) 1)
Outputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(*.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 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (/.f64 1 (+.f64 x -5/3)))
(*.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 1 1/3) (+.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 (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 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 1 (/.f64 (+.f64 x -5/3) (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)) (neg.f64 (+.f64 x -5/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (-.f64 x 1/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 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 (E.f64) (log.f64 (+.f64 x 1/3)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) -1)
(pow.f64 (/.f64 (+.f64 x -5/3) (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 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 (+.f64 x -2/3) 1 1)
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x -2/3) 1)
(fma.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1) 1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))) 1)
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)) 1)

simplify71.0ms (2%)

Algorithm
egg-herbie
Rules
998×fma-neg
966×div-sub
916×cancel-sign-sub-inv
502×log-prod
480×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01641642
13991561
210541438
343961291
Stop Event
node limit
Counts
71 → 78
Calls
Call 1
Inputs
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 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(*.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 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (/.f64 1 (+.f64 x -5/3)))
(*.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 1 1/3) (+.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 (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 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 1 (/.f64 (+.f64 x -5/3) (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)) (neg.f64 (+.f64 x -5/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (-.f64 x 1/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 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 (E.f64) (log.f64 (+.f64 x 1/3)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) -1)
(pow.f64 (/.f64 (+.f64 x -5/3) (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 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 (+.f64 x -2/3) 1 1)
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x -2/3) 1)
(fma.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1) 1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))) 1)
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)) 1)
Outputs
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 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 -1 (+.f64 x -5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(/.f64 (+.f64 1/3 x) 1)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(+.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 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (/.f64 1 (+.f64 x -5/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 -1 (+.f64 x -5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(/.f64 (+.f64 1/3 x) 1)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))) 2) 3) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(+.f64 1/3 x)
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(+.f64 1/3 x)
(*.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 1/3 x)
(*.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 1/3 x))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1/3 x) (cbrt.f64 (+.f64 1/3 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 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 1/3 x) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 1/3 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 1 (/.f64 (+.f64 x -5/3) (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 -1 (+.f64 x -5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(/.f64 (+.f64 1/3 x) 1)
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 -1 (+.f64 x -5/3)))
(/.f64 (+.f64 1/3 x) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)) (neg.f64 (+.f64 x -5/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 -1 (+.f64 x -5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(/.f64 (+.f64 1/3 x) 1)
(/.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) (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x))))
(/.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) (fma.f64 x x (fma.f64 x -1/3 1/9)))
(/.f64 (fma.f64 x x -1/9) (-.f64 x 1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 -1 (+.f64 x -5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(/.f64 (+.f64 1/3 x) 1)
(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) 2) 1/2)
(+.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)
(pow.f64 (E.f64) (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) -1)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(pow.f64 (/.f64 (+.f64 x -5/3) (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)) -1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 -1 (+.f64 x -5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(/.f64 (+.f64 1/3 x) 1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x)))) (sqrt.f64 (log.f64 (+.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)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x 1/3) 3)) 1/3))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 x 1 1/3)
(+.f64 1/3 x)
(fma.f64 (+.f64 x -2/3) 1 1)
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 1 (+.f64 x -2/3) 1)
(+.f64 1/3 x)
(fma.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) 1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1) 1)
(+.f64 1/3 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 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 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1) 1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x 2/3 (fma.f64 x x 4/9))))
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)) 1)
(+.f64 1 (/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3)))

eval34.0ms (0.9%)

Compiler

Compiled 1395 to 1132 computations (18.9% saved)

prune19.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1301131
Fresh000
Picked101
Done055
Total1316137
Accuracy
100.0%
Counts
137 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
100.0%
(+.f64 x 1/3)
48.4%
(+.f64 -2/3 1)
48.9%
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
52.0%
x
49.1%
1/3
Compiler

Compiled 91 to 72 computations (20.9% saved)

regimes16.0ms (0.4%)

Counts
11 → 1
Calls
Call 1
Inputs
1/3
x
(+.f64 -2/3 1)
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(+.f64 (+.f64 x -2/3) 1)
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
(*.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)))
(exp.f64 (log1p.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
Outputs
(+.f64 x 1/3)
Calls

2 calls:

11.0ms
x
4.0ms
(+.f64 x (/.f64 1 3))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 x (/.f64 1 3))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.3%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
97.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
49.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch26.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.03646246060322142
0.8840968396567196
13.0ms
-16.440067881315912
-0.06526024682610566
Results
23.0ms223×0valid
0.0ms0valid
Compiler

Compiled 94 to 78 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-add, time spent: 4.0ms, 61.0% of total-time
Operation ival-div, time spent: 2.0ms, 31.0% of total-time
Operation const, time spent: 1.0ms, 15.0% of total-time

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01644
12244
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3
Outputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6124895493223875/18014398509481984) 1/3 x))
1/3
Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness18.0ms (0.5%)

Rules
74×fma-def
18×distribute-lft-neg-in
16×associate--r+
16×sub-neg
14×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01452
13040
25440
39540
413540
516340
617340
718140
818640
918740
Stop Event
saturated
Compiler

Compiled 9 to 7 computations (22.2% saved)

end0.0ms (0%)

preprocess28.0ms (0.8%)

Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

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