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

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample906.0ms (33.3%)

Results

894.0ms

8256×

body

256

valid

Bogosity

preprocess70.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	30	40
2	54	40
3	95	40
4	135	40
5	163	40
6	173	40
7	181	40
8	186	40
9	187	40

Stop Event

1×

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 19 to 16 computations (15.8% saved)

eval0.0ms (0%)

Compiler: Compiled 4 to 3 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x 1/3)
▶	100.0%	(+.f64 x 1/3)

Compiler

Compiled 8 to 6 computations (25% saved)

localize17.0ms (0.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 x 1/3)
0.0ms	x	@	0	(+.f64 x 1/3)
0.0ms	x	@	-inf	(+.f64 x 1/3)

rewrite260.0ms (9.6%)

Algorithm

1×	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)

Iter	Nodes	Cost
0	7	10
1	60	10
2	748	10

Stop Event

1×	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)

simplify96.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1556×	`times-frac`
1000×	`fma-def`
916×	`associate-/r*`
826×	`unswap-sqr`
408×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	3757
1	699	3533
2	2513	3137

Stop Event

1×	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)

eval46.0ms (1.7%)

Compiler: Compiled 2029 to 1577 computations (22.3% saved)

prune31.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	5	134

Accuracy

100.0%

Counts

134 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.7%	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
▶	99.2%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	100.0%	(+.f64 x 1/3)
	48.5%	x
	52.0%	1/3
▶	75.7%	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
▶	99.2%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	100.0%	(+.f64 x 1/3)
	48.5%	x
	52.0%	1/3

Compiler

Compiled 50 to 38 computations (24% saved)

localize71.0ms (2.6%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x x -1/9)
✓	100.0%	(+.f64 x -1/3)
✓	75.7%	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
	100.0%	(+.f64 x 1/3)
✓	100.0%	(+.f64 1 (+.f64 x 1/3))
✓	99.2%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)

Compiler

Compiled 38 to 27 computations (28.9% saved)

series3.0ms (0.1%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
0.0ms	x	@	0	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
0.0ms	x	@	inf	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
0.0ms	x	@	inf	(fma.f64 x x -1/9)
0.0ms	x	@	-inf	(fma.f64 x x -1/9)

rewrite157.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`prod-diff`
990×	`log1p-expm1-u`
990×	`expm1-log1p-u`
272×	`expm1-udef`
272×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	210	55
2	3067	55

Stop Event

1×	node limit

Counts

5 → 234

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1 (+.f64 x 1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(+.f64 x -1/3)
(fma.f64 x x -1/9)

Outputs
(+.f64 1 (+.f64 x -2/3))
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 (+.f64 1 x) -2/3)
(+.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.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))))
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(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -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 (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)))

simplify171.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

1334×	`div-sub`
970×	`fma-neg`
574×	`times-frac`
392×	`sub-neg`
336×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	6292
1	913	5920
2	4623	5918

Stop Event

1×	node limit

Counts

294 → 230

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)
4/3
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
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)
(+.f64 1 (+.f64 x -2/3))
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 (+.f64 1 x) -2/3)
(+.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.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 (+.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 (fma.f64 x x -1/9)) (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3))))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (neg.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 1/3 (neg.f64 x))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.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 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(.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 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 1 (+.f64 x 1/3)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 (fma.f64 x x -1/9) (+.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 (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 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (+.f64 1/3 (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))
(/.f64 (/.f64 (fma.f64 x x -1/9) (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 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))
(/.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 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))
(/.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)))
(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)
(pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)
(neg.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/3 (neg.f64 x))))
(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 (log1p.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -2/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(-.f64 (+.f64 (+.f64 x 1/3) 2) 1)
(-.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(*.f64 1 (+.f64 x 4/3))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(.f64 (sqrt.f64 (+.f64 x 4/3)) (.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))
(/.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (.f64 (+.f64 1 x) 1/3))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))
(/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (.f64 (+.f64 x 1/3) (+.f64 x -2/3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 4/3)))
(exp.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x 1/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 1 (+.f64 x 1/3) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1)
(+.f64 1 (+.f64 x -2/3))
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 (+.f64 1 x) -2/3)
(+.f64 (+.f64 x -2/3) 1)
(-.f64 x -1/3)
(-.f64 (+.f64 x 4/3) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 3) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.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 (+.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 (fma.f64 x x -1/9)) (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3))))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (neg.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 1/3 (neg.f64 x))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x 1/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/3))) (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))
(*.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 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(.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 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)
(pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)
(neg.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/3 (neg.f64 x))))
(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 (log1p.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -2/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(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 1 (+.f64 x -1/3))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (+.f64 (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 1 (fma.f64 x x -1/9))
(*.f64 (fma.f64 x x -1/9) 1)
(*.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 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -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 (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)))

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)
4/3
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 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)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
x
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 x 1/3)
(+.f64 x -1/3)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(+.f64 1 (+.f64 x -2/3))
(+.f64 1/3 x)
(+.f64 1 (*.f64 (+.f64 x -2/3) 1))
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 (+.f64 x 1/3) 0)
(+.f64 1/3 x)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(+.f64 (+.f64 1 x) -2/3)
(+.f64 1/3 x)
(+.f64 (+.f64 x -2/3) 1)
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.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 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.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 (fma.f64 x x -1/9)) (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (neg.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 1/3 (neg.f64 x))))
(/.f64 (fma.f64 x x -1/9) (+.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 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) x) 7/3))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(*.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 (fma.f64 x x -1/9) (+.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 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x -1/9)) (+.f64 x -1/3)))
(/.f64 (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 (cbrt.f64 (+.f64 1/3 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 1/3 x))))
(*.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 (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 (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 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(+.f64 1/3 x)
(.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) (+.f64 (pow.f64 x 3) -1/27)) (+.f64 1/9 (.f64 x (+.f64 1/3 x))))
(*.f64 (/.f64 (fma.f64 x x -1/9) (fma.f64 x x -1/9)) (+.f64 x 1/3))
(+.f64 1/3 x)
(/.f64 1 (/.f64 1 (+.f64 x 1/3)))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 x 1/3)) 1))
(+.f64 1/3 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) x) 7/3))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(/.f64 (fma.f64 x x -1/9) (+.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 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x -1/3) (sqrt.f64 (fma.f64 x x -1/9))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 1/3 (neg.f64 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.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 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) x) 7/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) x) 7/3))
(/.f64 -1 (neg.f64 (/.f64 1 (+.f64 x 1/3))))
(+.f64 1/3 x)
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 (+.f64 x 1/3) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(/.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 (+.f64 (pow.f64 x 3) 1/27) 1) (fma.f64 x x (-.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x -1/3))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (+.f64 1/3 (neg.f64 x))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 (+.f64 x 1/3) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) x) 7/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 (+.f64 x 1/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (/.f64 1 (+.f64 x 7/3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 2)) (+.f64 x 7/3))
(/.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
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(pow.f64 (/.f64 1 (+.f64 x 1/3)) -1)
(+.f64 1/3 x)
(neg.f64 (/.f64 (fma.f64 x x -1/9) (+.f64 1/3 (neg.f64 x))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(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)
(log.f64 (+.f64 1 (expm1.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 (log1p.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x -2/3)) 1))
(exp.f64 (log1p.f64 (+.f64 x -2/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 1 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(-.f64 x 1/3)
(+.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 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 1/3 x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(*.f64 1 (+.f64 x -1/3))
(+.f64 x -1/3)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 1/3 x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 x -1/3)
(*.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))
(+.f64 x -1/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(*.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(/.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 1/3 x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 1/3 x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 1/3 x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -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) (/.f64 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 1/3 x))))
(/.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 (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 1/3 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 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 (pow.f64 x 2) (+.f64 1/9 (*.f64 x 1/3))))
(.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (-.f64 1/9 (.f64 x -1/3)))))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x (+.f64 1/3 x))))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 -1/3 x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 1/3 x)) (/.f64 1/9 (+.f64 1/3 x)))
(/.f64 (fma.f64 x x -1/9) (+.f64 1/3 x))
(pow.f64 (+.f64 x -1/3) 1)
(+.f64 x -1/3)
(pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)
(+.f64 x -1/3)
(pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)
(+.f64 x -1/3)
(pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)
(+.f64 x -1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))
(+.f64 x -1/3)
(log.f64 (exp.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))
(+.f64 x -1/3)
(cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))
(+.f64 x -1/3)
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(exp.f64 (log.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))
(+.f64 x -1/3)
(log1p.f64 (expm1.f64 (+.f64 x -1/3)))
(+.f64 x -1/3)
(fma.f64 1 x -1/3)
(+.f64 x -1/3)
(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)
(+.f64 x -1/3)
(+.f64 -1/9 (pow.f64 x 2))
(fma.f64 x x -1/9)
(+.f64 (pow.f64 x 2) -1/9)
(fma.f64 x x -1/9)
(+.f64 (*.f64 (pow.f64 x 2) 1) -1/9)
(fma.f64 x x -1/9)
(-.f64 (pow.f64 x 2) 1/9)
(fma.f64 x x -1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)
(fma.f64 x x -1/9)
(*.f64 1 (fma.f64 x x -1/9))
(fma.f64 x x -1/9)
(*.f64 (fma.f64 x x -1/9) 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))
(fma.f64 x x -1/9)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -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 (pow.f64 (pow.f64 x 2) 3) -1/729) (-.f64 (+.f64 (pow.f64 x 4) 1/81) (*.f64 -1/9 (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 2) 3) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81)))
(/.f64 (fma.f64 (pow.f64 x 5) x -1/729) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81)))
(/.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 4) 1/81) (*.f64 -1/9 (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 2) 3) -1/729) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81)))
(/.f64 (fma.f64 (pow.f64 x 5) x -1/729) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/81) (-.f64 (pow.f64 x 2) -1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 2) 1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/81) (+.f64 (pow.f64 x 2) 1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (+.f64 (pow.f64 x 2) 1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(pow.f64 (fma.f64 x x -1/9) 1)
(fma.f64 x x -1/9)
(pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)
(fma.f64 x x -1/9)
(pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)
(fma.f64 x x -1/9)
(pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)
(fma.f64 x x -1/9)
(sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))
(fma.f64 x x -1/9)
(log.f64 (exp.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))
(fma.f64 x x -1/9)
(cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))
(fma.f64 x x -1/9)
(expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(exp.f64 (log.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1))
(fma.f64 x x -1/9)
(log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))
(fma.f64 x x -1/9)

eval238.0ms (8.8%)

Compiler: Compiled 5531 to 4422 computations (20.1% saved)

prune49.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	362	1	363
Fresh	0	2	2
Picked	1	1	2
Done	0	1	1
Total	363	5	368

Accuracy

100.0%

Counts

368 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.7%	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
▶	99.1%	(-.f64 (+.f64 x 4/3) 1)
✓	100.0%	(+.f64 x 1/3)
	48.5%	x
	52.0%	1/3
✓	75.7%	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
▶	99.1%	(-.f64 (+.f64 x 4/3) 1)
✓	100.0%	(+.f64 x 1/3)
	48.5%	x
	52.0%	1/3

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize24.0ms (0.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x 4/3)
✓	99.2%	(-.f64 (+.f64 x 4/3) 1)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 x 4/3) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 x 4/3) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 x 4/3) 1)
0.0ms	x	@	inf	(+.f64 x 4/3)
0.0ms	x	@	-inf	(+.f64 x 4/3)

rewrite81.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`unpow-prod-down`
480×	`log1p-expm1-u`
480×	`expm1-log1p-u`
451×	`add-exp-log`
435×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	101	20
2	1312	20

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

Inputs
(-.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)

Outputs
(+.f64 x 1/3)
(+.f64 x (log.f64 (exp.f64 1/3)))
(+.f64 4/3 (+.f64 x -1))
(+.f64 (+.f64 x 4/3) -1)
(+.f64 (+.f64 x 4/3) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 x 1/3))
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.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 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 x 7/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(*.f64 (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 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.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)) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 7/3) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 x 7/3)))
(/.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))
(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 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 x 7/3) (+.f64 (pow.f64 (+.f64 x 4/3) 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 (log.f64 (+.f64 x 4/3)))
(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 4/3) 1 -1)
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -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 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3))) -1)
(fma.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)) -1)
(-.f64 (+.f64 x 7/3) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 (+.f64 x 4/3) (log.f64 (E.f64)))
(*.f64 1 (+.f64 x 4/3))
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(.f64 (sqrt.f64 (+.f64 x 4/3)) (.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (-.f64 (fma.f64 x x 16/9) (.f64 x 4/3))))
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 4/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 4/3))) 3))
(*.f64 (pow.f64 1 1/3) (+.f64 x 4/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x 4/3) (cbrt.f64 (+.f64 x 4/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 4/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 4/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x 4/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x 4/3) (cbrt.f64 (+.f64 x 4/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 4/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 x 4/3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)) (+.f64 (pow.f64 x 3) 64/27)))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (-.f64 (pow.f64 x 2) (*.f64 x 4/3))))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 64/27)) (neg.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3))))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(/.f64 (-.f64 16/9 (pow.f64 x 2)) (-.f64 4/3 x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 64/27) 1) (-.f64 (fma.f64 x x 16/9) (.f64 x 4/3)))
(/.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x 4/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)) (+.f64 (pow.f64 x 3) 64/27)) -1)
(pow.f64 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 4/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 4/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 4/3)))) (sqrt.f64 (log.f64 (+.f64 x 4/3))))
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 4/3))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x 4/3)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 4/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 x 1 4/3)
(fma.f64 1 x 4/3)
(fma.f64 1 (+.f64 x 7/3) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
(fma.f64 (+.f64 x 7/3) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 7/3)) 2) (cbrt.f64 (+.f64 x 7/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 7/3)) (sqrt.f64 (+.f64 x 7/3)) -1)

simplify103.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1554×	`fma-neg`
1386×	`fma-def`
968×	`unswap-sqr`
418×	`cancel-sign-sub-inv`
378×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	3275
1	620	3106
2	1849	2902
3	7479	2902

Stop Event

1×	node limit

Counts

147 → 158

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)
4/3
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 x 1/3)
(+.f64 x (log.f64 (exp.f64 1/3)))
(+.f64 4/3 (+.f64 x -1))
(+.f64 (+.f64 x 4/3) -1)
(+.f64 (+.f64 x 4/3) (log.f64 (exp.f64 -1)))
(+.f64 0 (+.f64 x 1/3))
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.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 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 x 7/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(*.f64 (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 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.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)) (cbrt.f64 (sqrt.f64 (+.f64 x 1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 7/3) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 x 7/3)))
(/.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))
(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 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) -1)
(pow.f64 (/.f64 (+.f64 x 7/3) (+.f64 (pow.f64 (+.f64 x 4/3) 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 (log.f64 (+.f64 x 4/3)))
(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 4/3) 1 -1)
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -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 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3))) -1)
(fma.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)) -1)
(-.f64 (+.f64 x 7/3) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 (+.f64 x 4/3) (log.f64 (E.f64)))
(*.f64 1 (+.f64 x 4/3))
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(.f64 (sqrt.f64 (+.f64 x 4/3)) (.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (-.f64 (fma.f64 x x 16/9) (.f64 x 4/3))))
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 4/3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 4/3))) 3))
(*.f64 (pow.f64 1 1/3) (+.f64 x 4/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x 4/3) (cbrt.f64 (+.f64 x 4/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 4/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 4/3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 x 4/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x 4/3) (cbrt.f64 (+.f64 x 4/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 4/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 4/3) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 x 4/3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)) (+.f64 (pow.f64 x 3) 64/27)))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (-.f64 (pow.f64 x 2) (*.f64 x 4/3))))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 64/27)) (neg.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3))))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(/.f64 (-.f64 16/9 (pow.f64 x 2)) (-.f64 4/3 x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 64/27) 1) (-.f64 (fma.f64 x x 16/9) (.f64 x 4/3)))
(/.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x 4/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)) (+.f64 (pow.f64 x 3) 64/27)) -1)
(pow.f64 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 4/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 4/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 4/3)))) (sqrt.f64 (log.f64 (+.f64 x 4/3))))
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 4/3))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x 4/3)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 4/3))) 2))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(fma.f64 x 1 4/3)
(fma.f64 1 x 4/3)
(fma.f64 1 (+.f64 x 7/3) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
(fma.f64 (+.f64 x 7/3) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 7/3)) 2) (cbrt.f64 (+.f64 x 7/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 7/3)) (sqrt.f64 (+.f64 x 7/3)) -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)
4/3
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 x 1/3)
(+.f64 1/3 x)
(+.f64 x (log.f64 (exp.f64 1/3)))
(+.f64 1/3 x)
(+.f64 4/3 (+.f64 x -1))
(+.f64 1/3 x)
(+.f64 (+.f64 x 4/3) -1)
(+.f64 1/3 x)
(+.f64 (+.f64 x 4/3) (log.f64 (exp.f64 -1)))
(+.f64 1/3 x)
(+.f64 0 (+.f64 x 1/3))
(+.f64 1/3 x)
(+.f64 -1 (+.f64 x 4/3))
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/3 x)))))
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (+.f64 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 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 4/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
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(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(pow.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(+.f64 x 4/3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 2) 1/2)
(+.f64 x 4/3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(+.f64 x 4/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(+.f64 x 4/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)) (+.f64 (pow.f64 x 3) 64/27)) -1)
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (*.f64 x (-.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(pow.f64 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 -16/9 (+.f64 x -4/3)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 4/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 4/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 4/3)))) (sqrt.f64 (log.f64 (+.f64 x 4/3))))
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(+.f64 x 4/3)
(log.f64 (exp.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(+.f64 x 4/3)
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 4/3))) 3))
(+.f64 x 4/3)
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x 4/3)) 3) 1/3))
(+.f64 x 4/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 4/3))) 2))
(+.f64 x 4/3)
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(fma.f64 x 1 4/3)
(+.f64 x 4/3)
(fma.f64 1 x 4/3)
(+.f64 x 4/3)
(fma.f64 1 (+.f64 x 7/3) -1)
(+.f64 x 4/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 4/3)
(+.f64 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(+.f64 x 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
(+.f64 x 4/3)
(fma.f64 (+.f64 x 7/3) 1 -1)
(+.f64 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 7/3)) 2) (cbrt.f64 (+.f64 x 7/3)) -1)
(+.f64 x 4/3)
(fma.f64 (sqrt.f64 (+.f64 x 7/3)) (sqrt.f64 (+.f64 x 7/3)) -1)
(+.f64 x 4/3)

eval50.0ms (1.8%)

Compiler: Compiled 1722 to 1403 computations (18.5% saved)

prune156.0ms (5.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	158	5	163

Accuracy

100.0%

Counts

163 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.7%	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
✓	99.1%	(-.f64 (+.f64 x 4/3) 1)
✓	100.0%	(+.f64 x 1/3)
	48.5%	x
	52.0%	1/3
✓	75.7%	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
✓	99.1%	(-.f64 (+.f64 x 4/3) 1)
✓	100.0%	(+.f64 x 1/3)
	48.5%	x
	52.0%	1/3

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.7%	(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
✓	99.1%	(-.f64 (+.f64 x 4/3) 1)
✓	100.0%	(+.f64 x 1/3)
	48.5%	x
	52.0%	1/3

Compiler

Compiled 54 to 40 computations (25.9% saved)

regimes11.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 4/3) 1)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))

Outputs
(+.f64 x 1/3)

Calls

2 calls:

6.0ms	x
4.0ms	(+.f64 x (/.f64 1 3))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(+.f64 x (/.f64 1 3))`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes11.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
96.9%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1/3

Outputs
1/3

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
52.0%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch26.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0004148622030201507	3.386613117265157
13.0ms	-3.596741584243823	-0.0007513160747244626

Results

23.0ms

256×

body

256

valid

Compiler

Compiled 106 to 88 computations (17% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	22	44

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) 1/3 x))
1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness19.0ms (0.7%)

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	30	40
2	54	40
3	95	40
4	135	40
5	163	40
6	173	40
7	181	40
8	186	40
9	187	40

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end0.0ms (0%)

preprocess111.0ms (4.1%)

Compiler: Compiled 44 to 32 computations (27.3% saved)

analyze1.0ms (0%)

sample906.0ms (33.3%)

preprocess70.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize17.0ms (0.6%)

series1.0ms (0%)

rewrite260.0ms (9.6%)

simplify96.0ms (3.5%)

eval46.0ms (1.7%)

prune31.0ms (1.1%)

localize71.0ms (2.6%)

series3.0ms (0.1%)

rewrite157.0ms (5.8%)

simplify171.0ms (6.3%)

eval238.0ms (8.8%)

prune49.0ms (1.8%)

localize24.0ms (0.9%)

series0.0ms (0%)

rewrite81.0ms (3%)

simplify103.0ms (3.8%)

eval50.0ms (1.8%)

prune156.0ms (5.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes11.0ms (0.4%)

regimes11.0ms (0.4%)

regimes3.0ms (0.1%)

bsearch26.0ms (0.9%)

simplify3.0ms (0.1%)

soundness19.0ms (0.7%)

end0.0ms (0%)

preprocess111.0ms (4.1%)

Profiling