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

analyze0.0ms (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)

sample815.0ms (22.3%)

Results

802.0ms

8256×

body

256

valid

Bogosity

preprocess160.0ms (4.4%)

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)

localize20.0ms (0.5%)

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)

rewrite177.0ms (4.9%)

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)

simplify67.0ms (1.8%)

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)

eval161.0ms (4.4%)

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

prune18.0ms (0.5%)

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
✓	100.0%	(+.f64 x 1/3)
▶	75.9%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
▶	73.4%	(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
	51.5%	x
	50.0%	1/3
✓	100.0%	(+.f64 x 1/3)
▶	75.9%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
▶	73.4%	(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
	51.5%	x
	50.0%	1/3

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize134.0ms (3.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x x -1/9)
✓	100.0%	(+.f64 x -1/3)
✓	100.0%	(/.f64 1 (+.f64 x -1/3))
✓	89.4%	(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
✓	100.0%	(log.f64 (+.f64 x 1/3))
✓	99.8%	(*.f64 3 (log.f64 (+.f64 x 1/3)))
✓	99.1%	(.f64 (.f64 3 (log.f64 (+.f64 x 1/3))) 1/3)
✓	97.4%	(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))

Compiler

Compiled 61 to 47 computations (23% saved)

series7.0ms (0.2%)

Counts

8 → 96

Calls

24 calls:

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

rewrite146.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`log-prod`
868×	`log1p-expm1-u`
868×	`expm1-log1p-u`
384×	`prod-diff`
310×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	173
1	243	109
2	3025	109

Stop Event

1×	node limit

Counts

8 → 413

Calls

Call 1

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

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

simplify282.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

1700×	`log-prod`
1286×	`fma-neg`
714×	`times-frac`
670×	`associate-r`
622×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	691	15267
1	1483	14025
2	6470	14025

Stop Event

1×	node limit

Counts

509 → 450

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)
(log.f64 1/3)
(+.f64 (log.f64 1/3) (*.f64 3 x))
(+.f64 (log.f64 1/3) (+.f64 (.f64 -9/2 (pow.f64 x 2)) (.f64 3 x)))
(+.f64 (log.f64 1/3) (+.f64 (.f64 -9/2 (pow.f64 x 2)) (+.f64 (.f64 3 x) (*.f64 9 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 x))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/3 (/.f64 1 x)))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/3 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/3 (/.f64 1 x)))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/3 (/.f64 1 x))))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(*.f64 3 (log.f64 1/3))
(+.f64 (.f64 3 (log.f64 1/3)) (.f64 9 x))
(+.f64 (.f64 -27/2 (pow.f64 x 2)) (+.f64 (.f64 3 (log.f64 1/3)) (*.f64 9 x)))
(+.f64 (.f64 -27/2 (pow.f64 x 2)) (+.f64 (.f64 3 (log.f64 1/3)) (+.f64 (.f64 9 x) (.f64 27 (pow.f64 x 3)))))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 1 x)) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 1 x))) (.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(log.f64 1/3)
(+.f64 (log.f64 1/3) (*.f64 3 x))
(+.f64 (log.f64 1/3) (+.f64 (.f64 -9/2 (pow.f64 x 2)) (.f64 3 x)))
(+.f64 (log.f64 1/3) (+.f64 (.f64 -9/2 (pow.f64 x 2)) (+.f64 (.f64 3 x) (*.f64 9 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 x))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/3 (/.f64 1 x)))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/3 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/3 (/.f64 1 x)))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/3 (/.f64 1 x))))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
-3
(-.f64 (*.f64 -9 x) 3)
(-.f64 (+.f64 (.f64 -27 (pow.f64 x 2)) (.f64 -9 x)) 3)
(-.f64 (+.f64 (.f64 -81 (pow.f64 x 3)) (+.f64 (.f64 -27 (pow.f64 x 2)) (*.f64 -9 x))) 3)
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
-1/9
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (pow.f64 x 2) 1/9)
(+.f64 x 1/3)
(+.f64 x (log.f64 (exp.f64 1/3)))
(+.f64 1/3 x)
(+.f64 0 (+.f64 x 1/3))
(+.f64 (.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 x 2)) (.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(+.f64 (.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x -1/3))) (.f64 -1/9 (/.f64 1 (+.f64 x -1/3))))
(+.f64 (log.f64 (exp.f64 1/3)) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))) (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 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (/.f64 1 (+.f64 x -1/3)) (fma.f64 x x -1/9))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (.f64 (cbrt.f64 (fma.f64 x x -1/9)) (/.f64 1 (+.f64 x -1/3))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (fma.f64 x x -1/9)))
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(log.f64 (exp.f64 (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) (pow.f64 (fma.f64 x x -1/9) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x -1/3) 3)))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(fma.f64 x 1 1/3)
(fma.f64 1 x 1/3)
(fma.f64 (/.f64 1 (+.f64 x -1/3)) (pow.f64 x 2) (*.f64 (/.f64 1 (+.f64 x -1/3)) -1/9))
(fma.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x -1/3)) (*.f64 -1/9 (/.f64 1 (+.f64 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)
(+.f64 0 (/.f64 1 (+.f64 x -1/3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1/3)))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1/3)))
(*.f64 (/.f64 1 (+.f64 x -1/3)) 1)
(*.f64 -1 (/.f64 1 (+.f64 1/3 (neg.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/3) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))
(*.f64 (pow.f64 (+.f64 x -1/3) -1/2) (pow.f64 (+.f64 x -1/3) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1/3)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1/3)) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1/27)) (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3)))
(*.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x 1/3))
(pow.f64 (+.f64 x -1/3) -1)
(pow.f64 (/.f64 1 (+.f64 x -1/3)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/3))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 x -1/3) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1/3) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1/3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1/3))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1/3))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1/3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1/3))))
(-.f64 x 1/3)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 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 (-.f64 (fma.f64 x x 1/9) (.f64 x -1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (/.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 x -1/3) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (/.f64 1 (cbrt.f64 (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (+.f64 x -1/3)) (pow.f64 (+.f64 x -1/3) -1/2))
(/.f64 (+.f64 1/3 (neg.f64 x)) -1)
(/.f64 (+.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 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (-.f64 (fma.f64 x x 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 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)
(+.f64 -1/9 (pow.f64 x 2))
(+.f64 (pow.f64 x 2) -1/9)
(+.f64 (pow.f64 x 2) (log.f64 (exp.f64 -1/9)))
(+.f64 0 (fma.f64 x x -1/9))
(+.f64 (*.f64 (pow.f64 x 2) 1) -1/9)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9))) (cbrt.f64 (exp.f64 (fma.f64 x x -1/9))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1/9)))))
(-.f64 (pow.f64 x 2) 1/9)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)
(*.f64 (fma.f64 x x -1/9) 1)
(*.f64 1 (fma.f64 x x -1/9))
(*.f64 (cbrt.f64 (fma.f64 x x -1/9)) (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (cbrt.f64 (fma.f64 x x -1/9)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 2) (.f64 (cbrt.f64 (fma.f64 x x -1/9)) 1))
(*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 2) 3) -1/729) (fma.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) (fma.f64 (pow.f64 x 2) (pow.f64 x 2) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))))
(/.f64 (fma.f64 (pow.f64 x 2) (pow.f64 x 2) -1/81) (fma.f64 x x 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)
(log.f64 1/3)
(+.f64 (log.f64 1/3) (*.f64 3 x))
(+.f64 (log.f64 1/3) (*.f64 x 3))
(fma.f64 x 3 (log.f64 1/3))
(+.f64 (log.f64 1/3) (+.f64 (.f64 -9/2 (pow.f64 x 2)) (.f64 3 x)))
(+.f64 (log.f64 1/3) (fma.f64 -9/2 (pow.f64 x 2) (*.f64 x 3)))
(+.f64 (log.f64 1/3) (+.f64 (.f64 -9/2 (pow.f64 x 2)) (+.f64 (.f64 3 x) (*.f64 9 (pow.f64 x 3)))))
(+.f64 (log.f64 1/3) (fma.f64 -9/2 (pow.f64 x 2) (fma.f64 3 x (*.f64 9 (pow.f64 x 3)))))
(+.f64 (log.f64 1/3) (fma.f64 -9/2 (pow.f64 x 2) (fma.f64 9 (pow.f64 x 3) (*.f64 x 3))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/3 x))
(+.f64 (log.f64 x) (/.f64 1/3 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 x))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 1/18 (pow.f64 x 2)))
(+.f64 (log.f64 x) (-.f64 (/.f64 1/3 x) (/.f64 1/18 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/3 (/.f64 1 x)))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/3 x) (/.f64 1/81 (pow.f64 x 3)))) (/.f64 1/18 (pow.f64 x 2)))
(+.f64 (+.f64 (/.f64 1/3 x) (/.f64 1/81 (pow.f64 x 3))) (-.f64 (log.f64 x) (/.f64 1/18 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/3 (/.f64 1 x))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/3 (/.f64 1 x)))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/3 x)) (/.f64 1/18 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 1/3 x) (/.f64 1/18 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/3 (/.f64 1 x))))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/3 x) (/.f64 1/81 (pow.f64 x 3)))) (/.f64 1/18 (pow.f64 x 2))))
(+.f64 (-.f64 (+.f64 (/.f64 1/3 x) (/.f64 1/81 (pow.f64 x 3))) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 -1/18 (pow.f64 x 2))))
(*.f64 3 (log.f64 1/3))
(*.f64 (log.f64 1/3) 3)
(+.f64 (.f64 3 (log.f64 1/3)) (.f64 9 x))
(fma.f64 3 (log.f64 1/3) (*.f64 x 9))
(fma.f64 x 9 (*.f64 (log.f64 1/3) 3))
(+.f64 (.f64 -27/2 (pow.f64 x 2)) (+.f64 (.f64 3 (log.f64 1/3)) (*.f64 9 x)))
(fma.f64 -27/2 (pow.f64 x 2) (fma.f64 3 (log.f64 1/3) (*.f64 x 9)))
(fma.f64 (pow.f64 x 2) -27/2 (fma.f64 x 9 (*.f64 (log.f64 1/3) 3)))
(+.f64 (.f64 -27/2 (pow.f64 x 2)) (+.f64 (.f64 3 (log.f64 1/3)) (+.f64 (.f64 9 x) (.f64 27 (pow.f64 x 3)))))
(fma.f64 -27/2 (pow.f64 x 2) (fma.f64 3 (log.f64 1/3) (fma.f64 9 x (*.f64 (pow.f64 x 3) 27))))
(fma.f64 (pow.f64 x 2) -27/2 (fma.f64 (log.f64 1/3) 3 (fma.f64 x 9 (*.f64 (pow.f64 x 3) 27))))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 (neg.f64 (log.f64 x)) -3)
(+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 1 x))
(fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 1 x))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/6 (pow.f64 x 2)))
(fma.f64 (neg.f64 (log.f64 x)) -3 (+.f64 (/.f64 1 x) (/.f64 -1/6 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -3 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/27 (pow.f64 x 3)))) (/.f64 1/6 (pow.f64 x 2)))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 1/27 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 -1/6 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/27 (pow.f64 x 3))) (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 -1/6 (pow.f64 x 2))))
(.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))
(*.f64 3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(*.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 1 x))
(fma.f64 3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 1 x))
(fma.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 1 x)) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 1 x)) (/.f64 1/6 (pow.f64 x 2)))
(fma.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 -1/6 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 1 x))) (.f64 1/6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/27 (pow.f64 x 3)) (-.f64 (fma.f64 3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 1 x)) (/.f64 1/6 (pow.f64 x 2))))
(+.f64 (/.f64 1/27 (pow.f64 x 3)) (fma.f64 3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 -1/6 (pow.f64 x 2)))))
(log.f64 1/3)
(+.f64 (log.f64 1/3) (*.f64 3 x))
(+.f64 (log.f64 1/3) (*.f64 x 3))
(fma.f64 x 3 (log.f64 1/3))
(+.f64 (log.f64 1/3) (+.f64 (.f64 -9/2 (pow.f64 x 2)) (.f64 3 x)))
(+.f64 (log.f64 1/3) (fma.f64 -9/2 (pow.f64 x 2) (*.f64 x 3)))
(+.f64 (log.f64 1/3) (+.f64 (.f64 -9/2 (pow.f64 x 2)) (+.f64 (.f64 3 x) (*.f64 9 (pow.f64 x 3)))))
(+.f64 (log.f64 1/3) (fma.f64 -9/2 (pow.f64 x 2) (fma.f64 3 x (*.f64 9 (pow.f64 x 3)))))
(+.f64 (log.f64 1/3) (fma.f64 -9/2 (pow.f64 x 2) (fma.f64 9 (pow.f64 x 3) (*.f64 x 3))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/3 x))
(+.f64 (log.f64 x) (/.f64 1/3 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 x))) (*.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/3 x)) (/.f64 1/18 (pow.f64 x 2)))
(+.f64 (log.f64 x) (-.f64 (/.f64 1/3 x) (/.f64 1/18 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/3 (/.f64 1 x)))) (.f64 1/18 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/3 x) (/.f64 1/81 (pow.f64 x 3)))) (/.f64 1/18 (pow.f64 x 2)))
(+.f64 (+.f64 (/.f64 1/3 x) (/.f64 1/81 (pow.f64 x 3))) (-.f64 (log.f64 x) (/.f64 1/18 (pow.f64 x 2))))
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1/3
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(+.f64 1/3 x)
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x
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(+.f64 1/3 x)
(+.f64 1/3 x)
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-3
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-1/3
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(-.f64 x 1/3)
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x
(-.f64 x 1/3)
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(-.f64 x 1/3)
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(-.f64 x 1/3)
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x
(-.f64 x 1/3)
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(-.f64 x 1/3)
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(-.f64 x 1/3)
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-1/9
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(-.f64 (pow.f64 x 2) 1/9)
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(-.f64 (pow.f64 x 2) 1/9)
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(-.f64 (pow.f64 x 2) 1/9)
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(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
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(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
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(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
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(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
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(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
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(*.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))
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(/.f64 (+.f64 (pow.f64 (pow.f64 x 2) 3) -1/729) (+.f64 (fma.f64 (pow.f64 x 2) 1/9 1/81) (pow.f64 x 4)))
(/.f64 (fma.f64 (pow.f64 x 2) (pow.f64 x 2) -1/81) (fma.f64 x x 1/9))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (fma.f64 x x 1/9))
(/.f64 (+.f64 -1/81 (pow.f64 x 4)) (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))
(fabs.f64 (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)

eval421.0ms (11.5%)

Compiler: Compiled 6877 to 5425 computations (21.1% saved)

prune73.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	448	2	450
Fresh	0	2	2
Picked	2	0	2
Done	0	1	1
Total	450	5	455

Accuracy

100.0%

Counts

455 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
▶	49.6%	(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
▶	49.3%	(exp.f64 (.f64 (.f64 (log.f64 1/3) 3) 1/3))
	51.5%	x
	50.0%	1/3
✓	100.0%	(+.f64 x 1/3)
▶	49.6%	(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
▶	49.3%	(exp.f64 (.f64 (.f64 (log.f64 1/3) 3) 1/3))
	51.5%	x
	50.0%	1/3

Compiler

Compiled 48 to 42 computations (12.5% saved)

localize140.0ms (3.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 x -1/3)
	100.0%	(/.f64 1 (+.f64 x -1/3))
✓	99.7%	(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
✓	98.4%	(.f64 (.f64 (log.f64 1/3) 3) 1/3)

Compiler

Compiled 42 to 38 computations (9.5% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite116.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`unpow-prod-down`
718×	`log-prod`
663×	`log1p-expm1-u`
663×	`expm1-log1p-u`
396×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	27
1	176	21
2	2068	21

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 -2/3))) 1)
(pow.f64 (log1p.f64 -2/3) 1)
(pow.f64 (cbrt.f64 (log1p.f64 -2/3)) 3)
(pow.f64 (pow.f64 (log1p.f64 -2/3) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 -2/3)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 -2/3) 2))
(log.f64 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 -2/3) 3))
(expm1.f64 (log1p.f64 (log1p.f64 -2/3)))
(exp.f64 (log.f64 (log1p.f64 -2/3)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 -2/3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 -2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 -2/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 -2/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 -2/3))) 2))
(log1p.f64 -2/3)
(+.f64 0 (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))) (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 1)
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(/.f64 1/9 (+.f64 1/3 (neg.f64 x)))
(/.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x -1/3) -2) 1/81) 1/2)
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(pow.f64 (/.f64 (+.f64 x -1/3) -1/9) -1)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) -2) 1/81))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3)))))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 2))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

932×	`associate-r`
928×	`log-prod`
836×	`associate-l`
560×	`fma-def`
532×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	1075
1	325	1024
2	903	987
3	5243	975

Stop Event

1×	node limit

Counts

56 → 72

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 x (*.f64 3 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 x (+.f64 (.f64 3 (pow.f64 x 2)) (.f64 9 (pow.f64 x 3)))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 -2/3))) 1)
(pow.f64 (log1p.f64 -2/3) 1)
(pow.f64 (cbrt.f64 (log1p.f64 -2/3)) 3)
(pow.f64 (pow.f64 (log1p.f64 -2/3) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 -2/3)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 -2/3) 2))
(log.f64 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 -2/3) 3))
(expm1.f64 (log1p.f64 (log1p.f64 -2/3)))
(exp.f64 (log.f64 (log1p.f64 -2/3)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 -2/3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 -2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 -2/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 -2/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 -2/3))) 2))
(log1p.f64 -2/3)
(+.f64 0 (/.f64 -1/9 (+.f64 x -1/3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))) (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 1)
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(/.f64 1/9 (+.f64 1/3 (neg.f64 x)))
(/.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x -1/3) -2) 1/81) 1/2)
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(pow.f64 (/.f64 (+.f64 x -1/3) -1/9) -1)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) -2) 1/81))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3)))))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 2))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 (+.f64 x (*.f64 3 (pow.f64 x 2))))
(+.f64 (+.f64 1/3 x) (*.f64 3 (pow.f64 x 2)))
(+.f64 1/3 (fma.f64 3 (pow.f64 x 2) x))
(+.f64 1/3 (+.f64 x (+.f64 (.f64 3 (pow.f64 x 2)) (.f64 9 (pow.f64 x 3)))))
(+.f64 (+.f64 1/3 x) (fma.f64 3 (pow.f64 x 2) (*.f64 9 (pow.f64 x 3))))
(+.f64 1/3 (+.f64 x (fma.f64 3 (pow.f64 x 2) (*.f64 9 (pow.f64 x 3)))))
(+.f64 (fma.f64 3 (pow.f64 x 2) x) (fma.f64 9 (pow.f64 x 3) 1/3))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/27 (pow.f64 x 2))))
(+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2)))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 1/27 (pow.f64 x 2)))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2))))
(-.f64 (/.f64 -1/9 x) (-.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/81 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 1/27 (pow.f64 x 2)))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2)))) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -1/9 x) (-.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/81 (pow.f64 x 3)))) (/.f64 -1/243 (pow.f64 x 4)))
(/.f64 -1/9 x)
(neg.f64 (+.f64 (.f64 1/9 (/.f64 1 x)) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1/9 x) (/.f64 1/27 (pow.f64 x 2))))
(+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2)))
(neg.f64 (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (*.f64 1/9 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 1/27 (pow.f64 x 2)))))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2))))
(-.f64 (/.f64 -1/9 x) (-.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/81 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/9 x) (/.f64 1/27 (pow.f64 x 2)))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1/81 (pow.f64 x 3)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2)))) (/.f64 -1/243 (pow.f64 x 4)))
(+.f64 (/.f64 -1/81 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1/9 x) (/.f64 -1/27 (pow.f64 x 2))) (/.f64 1/243 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -1/9 x) (-.f64 (/.f64 1/27 (pow.f64 x 2)) (/.f64 -1/81 (pow.f64 x 3)))) (/.f64 -1/243 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 -2/3))) 1)
(log1p.f64 -2/3)
(pow.f64 (log1p.f64 -2/3) 1)
(log1p.f64 -2/3)
(pow.f64 (cbrt.f64 (log1p.f64 -2/3)) 3)
(log1p.f64 -2/3)
(pow.f64 (pow.f64 (log1p.f64 -2/3) 2) 1/2)
(log1p.f64 -2/3)
(pow.f64 (pow.f64 (log1p.f64 -2/3) 3) 1/3)
(log1p.f64 -2/3)
(pow.f64 (sqrt.f64 (log1p.f64 -2/3)) 2)
(log1p.f64 -2/3)
(sqrt.f64 (pow.f64 (log1p.f64 -2/3) 2))
(log1p.f64 -2/3)
(log.f64 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 -2/3) 3))
(log1p.f64 -2/3)
(expm1.f64 (log1p.f64 (log1p.f64 -2/3)))
(log1p.f64 -2/3)
(exp.f64 (log.f64 (log1p.f64 -2/3)))
(log1p.f64 -2/3)
(exp.f64 (*.f64 (log.f64 (log1p.f64 -2/3)) 1))
(log1p.f64 -2/3)
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 -2/3)) 1) 1))
(log1p.f64 -2/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 -2/3))) 3))
(log1p.f64 -2/3)
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 -2/3))) 1/3))
(log1p.f64 -2/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 -2/3))) 2))
(log1p.f64 -2/3)
(log1p.f64 -2/3)
(+.f64 0 (/.f64 -1/9 (+.f64 x -1/3)))
(/.f64 -1/9 (+.f64 x -1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))) (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 1)
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 1 (/.f64 (+.f64 x -1/3) -1/9))
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 1/9 (+.f64 1/3 (neg.f64 x)))
(/.f64 1/9 (-.f64 1/3 x))
(/.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 -1/9 (+.f64 x -1/3))
(/.f64 (/.f64 -1/9 (sqrt.f64 (+.f64 x -1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 1)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 3)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (*.f64 (pow.f64 (+.f64 x -1/3) -2) 1/81) 1/2)
(sqrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2)))
(fabs.f64 (/.f64 -1/9 (+.f64 x -1/3)))
(pow.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3) 1/3)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3))) 2)
(/.f64 -1/9 (+.f64 x -1/3))
(pow.f64 (/.f64 (+.f64 x -1/3) -1/9) -1)
(/.f64 -1/9 (+.f64 x -1/3))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x -1/3) -2) 1/81))
(sqrt.f64 (*.f64 1/81 (pow.f64 (+.f64 x -1/3) -2)))
(fabs.f64 (/.f64 -1/9 (+.f64 x -1/3)))
(log.f64 (exp.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(/.f64 -1/9 (+.f64 x -1/3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3)))))
(/.f64 -1/9 (+.f64 x -1/3))
(cbrt.f64 (pow.f64 (/.f64 -1/9 (+.f64 x -1/3)) 3))
(/.f64 -1/9 (+.f64 x -1/3))
(expm1.f64 (log1p.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))) 1))
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1/9 (+.f64 x -1/3))) 1) 1))
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 3))
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 1/3))
(/.f64 -1/9 (+.f64 x -1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1/9 (+.f64 x -1/3)))) 2))
(/.f64 -1/9 (+.f64 x -1/3))
(log1p.f64 (expm1.f64 (/.f64 -1/9 (+.f64 x -1/3))))
(/.f64 -1/9 (+.f64 x -1/3))

eval86.0ms (2.3%)

Compiler: Compiled 2048 to 1748 computations (14.6% saved)

prune93.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	2	2
Picked	1	1	2
Done	0	1	1
Total	178	5	183

Accuracy

100.0%

Counts

183 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
✓	49.6%	(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
▶	49.3%	(exp.f64 (log1p.f64 -2/3))
	51.5%	x
	50.0%	1/3
✓	100.0%	(+.f64 x 1/3)
✓	49.6%	(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
▶	49.3%	(exp.f64 (log1p.f64 -2/3))
	51.5%	x
	50.0%	1/3

Compiler

Compiled 40 to 34 computations (15% saved)

localize56.0ms (1.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	98.4%	(log1p.f64 -2/3)

Compiler

Compiled 8 to 8 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite84.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`prod-diff`
816×	`log-prod`
671×	`log1p-expm1-u`
671×	`expm1-log1p-u`
574×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	27	5
2	242	5
3	2151	5

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(log1p.f64 -2/3)

Outputs
(+.f64 (+.f64 (log.f64 1/3) 1) -1)
(-.f64 (+.f64 (log.f64 1/3) 1) 1)
(*.f64 (log.f64 1/3) 1)
(*.f64 1 (log.f64 1/3))
(*.f64 (cbrt.f64 (log.f64 1/3)) (pow.f64 (cbrt.f64 (log.f64 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/3)) 2) (cbrt.f64 (log.f64 1/3)))
(*.f64 (sqrt.f64 (log.f64 1/3)) (sqrt.f64 (log.f64 1/3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) (pow.f64 (cbrt.f64 (log.f64 1/3)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 5))
(*.f64 (pow.f64 (log.f64 1/3) 1/6) (pow.f64 (log.f64 1/3) 5/6))
(*.f64 (pow.f64 (log.f64 1/3) 1/4) (pow.f64 (log.f64 1/3) 3/4))
(*.f64 (pow.f64 (log.f64 1/3) 1/4) (sqrt.f64 (pow.f64 (log.f64 1/3) 3/2)))
(.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 8))) 1/3)) (cbrt.f64 (cbrt.f64 (log.f64 1/3))))
(.f64 (exp.f64 (.f64 (*.f64 5/2 (log.f64 (log.f64 1/3))) 1/3)) (pow.f64 (log.f64 1/3) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 8))) (cbrt.f64 (cbrt.f64 (log.f64 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 5/2)) (pow.f64 (log.f64 1/3) 1/6))
(*.f64 (pow.f64 (log.f64 1/3) 3/4) (pow.f64 (log.f64 1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 1/3) 3/2)) (pow.f64 (log.f64 1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 1/3)) 5)) (pow.f64 (log.f64 1/3) 1/6))
(.f64 (.f64 (cbrt.f64 (log.f64 1/3)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 2) 4) (cbrt.f64 (cbrt.f64 (log.f64 1/3))))
(*.f64 (pow.f64 (log.f64 1/3) 5/6) (pow.f64 (log.f64 1/3) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 3) 1) (+.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 2) (+.f64 1 (+.f64 (log.f64 1/3) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 2) 1) (+.f64 (+.f64 (log.f64 1/3) 1) 1))
(pow.f64 (log.f64 1/3) 1)
(pow.f64 (cbrt.f64 (log.f64 1/3)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 1/3)) 2) 3/2)
(pow.f64 (pow.f64 (log.f64 1/3) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 1/3)) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 1/3)))
(pow.f64 (pow.f64 (log.f64 1/3) 3/2) 2/3)
(pow.f64 (pow.f64 (log.f64 1/3) 1/6) 6)
(pow.f64 (pow.f64 (log.f64 1/3) 1/4) 4)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 1/3))) 2)) (cbrt.f64 (log.f64 (log.f64 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 1/3)))) (sqrt.f64 (log.f64 (log.f64 1/3))))
(sqrt.f64 (pow.f64 (log.f64 1/3) 2))
(fabs.f64 (log.f64 1/3))
(log.f64 1/3)
(cbrt.f64 (pow.f64 (log.f64 1/3) 3))
(expm1.f64 (log1p.f64 (log.f64 1/3)))
(exp.f64 (log.f64 (log.f64 1/3)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 1/3))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 2) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (log.f64 1/3)) 2) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 3) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (log.f64 1/3))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 1/3))) 1) 2))
(fma.f64 1 (+.f64 (log.f64 1/3) 1) -1)
(fma.f64 (+.f64 (log.f64 1/3) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 1/3) 1)) (cbrt.f64 (+.f64 (log.f64 1/3) 1))) (cbrt.f64 (+.f64 (log.f64 1/3) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 1/3) 1)) (sqrt.f64 (+.f64 (log.f64 1/3) 1)) -1)

simplify90.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1808×	`fma-neg`
1028×	`log-prod`
614×	`unswap-sqr`
504×	`fma-def`
406×	`sqr-pow`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	145	952
1	342	702
2	859	702
3	3240	702
4	6367	698

Stop Event

1×	node limit

Counts

54 → 64

Calls

Call 1

Inputs
(+.f64 (+.f64 (log.f64 1/3) 1) -1)
(-.f64 (+.f64 (log.f64 1/3) 1) 1)
(*.f64 (log.f64 1/3) 1)
(*.f64 1 (log.f64 1/3))
(*.f64 (cbrt.f64 (log.f64 1/3)) (pow.f64 (cbrt.f64 (log.f64 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/3)) 2) (cbrt.f64 (log.f64 1/3)))
(*.f64 (sqrt.f64 (log.f64 1/3)) (sqrt.f64 (log.f64 1/3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) (pow.f64 (cbrt.f64 (log.f64 1/3)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 5))
(*.f64 (pow.f64 (log.f64 1/3) 1/6) (pow.f64 (log.f64 1/3) 5/6))
(*.f64 (pow.f64 (log.f64 1/3) 1/4) (pow.f64 (log.f64 1/3) 3/4))
(*.f64 (pow.f64 (log.f64 1/3) 1/4) (sqrt.f64 (pow.f64 (log.f64 1/3) 3/2)))
(.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 8))) 1/3)) (cbrt.f64 (cbrt.f64 (log.f64 1/3))))
(.f64 (exp.f64 (.f64 (*.f64 5/2 (log.f64 (log.f64 1/3))) 1/3)) (pow.f64 (log.f64 1/3) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 8))) (cbrt.f64 (cbrt.f64 (log.f64 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 5/2)) (pow.f64 (log.f64 1/3) 1/6))
(*.f64 (pow.f64 (log.f64 1/3) 3/4) (pow.f64 (log.f64 1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 1/3) 3/2)) (pow.f64 (log.f64 1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 1/3)) 5)) (pow.f64 (log.f64 1/3) 1/6))
(.f64 (.f64 (cbrt.f64 (log.f64 1/3)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 2) 4) (cbrt.f64 (cbrt.f64 (log.f64 1/3))))
(*.f64 (pow.f64 (log.f64 1/3) 5/6) (pow.f64 (log.f64 1/3) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 3) 1) (+.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 2) (+.f64 1 (+.f64 (log.f64 1/3) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 2) 1) (+.f64 (+.f64 (log.f64 1/3) 1) 1))
(pow.f64 (log.f64 1/3) 1)
(pow.f64 (cbrt.f64 (log.f64 1/3)) 3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 1/3)) 2) 3/2)
(pow.f64 (pow.f64 (log.f64 1/3) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 1/3)) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 1/3)))
(pow.f64 (pow.f64 (log.f64 1/3) 3/2) 2/3)
(pow.f64 (pow.f64 (log.f64 1/3) 1/6) 6)
(pow.f64 (pow.f64 (log.f64 1/3) 1/4) 4)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 1/3))) 2)) (cbrt.f64 (log.f64 (log.f64 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 1/3)))) (sqrt.f64 (log.f64 (log.f64 1/3))))
(sqrt.f64 (pow.f64 (log.f64 1/3) 2))
(fabs.f64 (log.f64 1/3))
(log.f64 1/3)
(cbrt.f64 (pow.f64 (log.f64 1/3) 3))
(expm1.f64 (log1p.f64 (log.f64 1/3)))
(exp.f64 (log.f64 (log.f64 1/3)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 1/3))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 2) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (log.f64 1/3)) 2) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 3) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (log.f64 1/3))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 1/3))) 1) 2))
(fma.f64 1 (+.f64 (log.f64 1/3) 1) -1)
(fma.f64 (+.f64 (log.f64 1/3) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 1/3) 1)) (cbrt.f64 (+.f64 (log.f64 1/3) 1))) (cbrt.f64 (+.f64 (log.f64 1/3) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 1/3) 1)) (sqrt.f64 (+.f64 (log.f64 1/3) 1)) -1)

Outputs
(+.f64 (+.f64 (log.f64 1/3) 1) -1)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(-.f64 (+.f64 (log.f64 1/3) 1) 1)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(*.f64 (log.f64 1/3) 1)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(*.f64 1 (log.f64 1/3))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(*.f64 (cbrt.f64 (log.f64 1/3)) (pow.f64 (cbrt.f64 (log.f64 1/3)) 2))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/3)) 2) (cbrt.f64 (log.f64 1/3)))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(*.f64 (sqrt.f64 (log.f64 1/3)) (sqrt.f64 (log.f64 1/3)))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) (pow.f64 (cbrt.f64 (log.f64 1/3)) 2)))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 5))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(*.f64 (pow.f64 (log.f64 1/3) 1/6) (pow.f64 (log.f64 1/3) 5/6))
(*.f64 (pow.f64 (log.f64 1/3) 1/4) (pow.f64 (log.f64 1/3) 3/4))
(*.f64 (pow.f64 (log.f64 1/3) 1/4) (sqrt.f64 (pow.f64 (log.f64 1/3) 3/2)))
(*.f64 (pow.f64 (log.f64 1/3) 1/4) (pow.f64 (log.f64 1/3) 3/4))
(.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 8))) 1/3)) (cbrt.f64 (cbrt.f64 (log.f64 1/3))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) (exp.f64 (.f64 1/3 (log.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 8))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 8))))
(.f64 (exp.f64 (.f64 (*.f64 5/2 (log.f64 (log.f64 1/3))) 1/3)) (pow.f64 (log.f64 1/3) 1/6))
(*.f64 (pow.f64 (log.f64 1/3) 1/6) (pow.f64 (log.f64 1/3) 5/6))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 8))) (cbrt.f64 (cbrt.f64 (log.f64 1/3))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) (exp.f64 (.f64 1/3 (log.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 8))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 8))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/3) 5/2)) (pow.f64 (log.f64 1/3) 1/6))
(*.f64 (pow.f64 (log.f64 1/3) 1/6) (pow.f64 (log.f64 1/3) 5/6))
(*.f64 (pow.f64 (log.f64 1/3) 3/4) (pow.f64 (log.f64 1/3) 1/4))
(*.f64 (pow.f64 (log.f64 1/3) 1/4) (pow.f64 (log.f64 1/3) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 1/3) 3/2)) (pow.f64 (log.f64 1/3) 1/4))
(*.f64 (pow.f64 (log.f64 1/3) 1/4) (pow.f64 (log.f64 1/3) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 1/3)) 5)) (pow.f64 (log.f64 1/3) 1/6))
(*.f64 (pow.f64 (log.f64 1/3) 1/6) (pow.f64 (log.f64 1/3) 5/6))
(.f64 (.f64 (cbrt.f64 (log.f64 1/3)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 2))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 1/3))) 2) 4) (cbrt.f64 (cbrt.f64 (log.f64 1/3))))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(*.f64 (pow.f64 (log.f64 1/3) 5/6) (pow.f64 (log.f64 1/3) 1/6))
(*.f64 (pow.f64 (log.f64 1/3) 1/6) (pow.f64 (log.f64 1/3) 5/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 3) 1) (+.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 2) (+.f64 1 (+.f64 (log.f64 1/3) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 2) (+.f64 (log.f64 1/3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 1/3) 1) 3)) (+.f64 (log.f64 1/3) (+.f64 2 (pow.f64 (+.f64 (log.f64 1/3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 1/3) 1) 3)) (fma.f64 (+.f64 (log.f64 1/3) 1) (+.f64 (log.f64 1/3) 2) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 2) 1) (+.f64 (+.f64 (log.f64 1/3) 1) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 1/3) 1) 2) -1) (+.f64 (log.f64 1/3) 2))
(/.f64 (*.f64 (+.f64 (log.f64 1/3) 2) (log.f64 1/3)) (+.f64 (log.f64 1/3) 2))
(/.f64 (*.f64 (log.f64 1/3) (+.f64 (log.f64 1/3) 2)) (+.f64 (log.f64 1/3) 2))
(*.f64 (/.f64 (log.f64 1/3) (+.f64 (log.f64 1/3) 2)) (+.f64 (log.f64 1/3) 2))
(pow.f64 (log.f64 1/3) 1)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(pow.f64 (cbrt.f64 (log.f64 1/3)) 3)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 1/3)) 2) 3/2)
(pow.f64 (pow.f64 (log.f64 1/3) 2) 1/2)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(pow.f64 (pow.f64 (log.f64 1/3) 3) 1/3)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(pow.f64 (sqrt.f64 (log.f64 1/3)) 2)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(pow.f64 (E.f64) (log.f64 (log.f64 1/3)))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(pow.f64 (pow.f64 (log.f64 1/3) 3/2) 2/3)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(pow.f64 (pow.f64 (log.f64 1/3) 1/6) 6)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(pow.f64 (pow.f64 (log.f64 1/3) 1/4) 4)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 1/3))) 2)) (cbrt.f64 (log.f64 (log.f64 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 1/3)))) (sqrt.f64 (log.f64 (log.f64 1/3))))
(sqrt.f64 (pow.f64 (log.f64 1/3) 2))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(fabs.f64 (log.f64 1/3))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(log.f64 1/3)
(+.f64 (log.f64 1/3) 0)
(cbrt.f64 (pow.f64 (log.f64 1/3) 3))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(expm1.f64 (log1p.f64 (log.f64 1/3)))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(exp.f64 (log.f64 (log.f64 1/3)))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 1/3) 3))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (log.f64 1/3))) 1) 3))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 2) 1/2))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (log.f64 1/3)) 2) 1) 1/2))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 3) 1/3))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (log.f64 1/3))) 1) 1/3))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/3)) 1/2) 2))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 1/3))) 1) 2))
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(fma.f64 1 (+.f64 (log.f64 1/3) 1) -1)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(fma.f64 (+.f64 (log.f64 1/3) 1) 1 -1)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log.f64 1/3) 1)) (cbrt.f64 (+.f64 (log.f64 1/3) 1))) (cbrt.f64 (+.f64 (log.f64 1/3) 1)) -1)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 1/3) 1)) (sqrt.f64 (+.f64 (log.f64 1/3) 1)) -1)
(+.f64 (log.f64 1/3) 0)
(log.f64 1/3)

eval51.0ms (1.4%)

Compiler: Compiled 674 to 674 computations (0% saved)

prune36.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Accuracy

100.0%

Counts

69 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
✓	49.6%	(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
✓	49.3%	(exp.f64 (log1p.f64 -2/3))
	51.5%	x
	50.0%	1/3

Compiler

Compiled 67 to 56 computations (16.4% saved)

regimes69.0ms (1.9%)

Counts

9 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(*.f64 -1/9 (/.f64 1 (+.f64 x -1/3)))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(exp.f64 (log1p.f64 -2/3))
(exp.f64 (.f64 (.f64 (log.f64 1/3) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))

Outputs
(+.f64 x 1/3)

Calls

2 calls:

63.0ms	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 55 to 45 computations (18.2% saved)

regimes9.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
97.7%	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
50.0%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch92.0ms (2.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	0.026846564436236738	160.64777548444403
48.0ms	-567.3253138556753	-5.701056710566113e-11

Results

89.0ms

288×

body

256

valid

Compiler

Compiled 118 to 98 computations (16.9% 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 -6124895493223875/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 5944751508129055/18014398509481984) 1/3 x))
1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness35.0ms (1%)

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%)

preprocess147.0ms (4%)

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

analyze0.0ms (0%)

sample815.0ms (22.3%)

preprocess160.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.5%)

series1.0ms (0%)

rewrite177.0ms (4.9%)

simplify67.0ms (1.8%)

eval161.0ms (4.4%)

prune18.0ms (0.5%)

localize134.0ms (3.7%)

series7.0ms (0.2%)

rewrite146.0ms (4%)

simplify282.0ms (7.7%)

eval421.0ms (11.5%)

prune73.0ms (2%)

localize140.0ms (3.8%)

series1.0ms (0%)

rewrite116.0ms (3.2%)

simplify61.0ms (1.7%)

eval86.0ms (2.3%)

prune93.0ms (2.5%)

localize56.0ms (1.5%)

series0.0ms (0%)

rewrite84.0ms (2.3%)

simplify90.0ms (2.5%)

eval51.0ms (1.4%)

prune36.0ms (1%)

regimes69.0ms (1.9%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch92.0ms (2.5%)

simplify3.0ms (0.1%)

soundness35.0ms (1%)

end0.0ms (0%)

preprocess147.0ms (4%)

Profiling