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)

sample1.4s (36.1%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess17.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

14×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
8×	`associate-+l-`
6×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	18	21
2	26	21
3	34	21
4	44	21
5	56	21
6	71	21
7	75	21

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))

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)

Compiler

Compiled 6 to 5 computations (16.7% 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)

localize15.0ms (0.4%)

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)

series0.0ms (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)

rewrite59.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`pow1`
1068×	`add-exp-log`
1068×	`log1p-expm1-u`
1068×	`expm1-log1p-u`
1050×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1391	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(+.f64 x 1/3)

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

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1702×	`fma-def`
1262×	`distribute-rgt-in`
1238×	`distribute-lft-in`
606×	`associate-r`
562×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	646
1	188	586
2	577	490
3	3151	490

Stop Event

1×	node limit

Counts

42 → 37

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

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

eval8.0ms (0.2%)

Compiler: Compiled 319 to 235 computations (26.3% saved)

prune36.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Accuracy

100.0%

Counts

38 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
▶	66.3%	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
▶	99.2%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	100.0%	(+.f64 x 1/3)
	51.2%	x
	50.7%	1/3
▶	76.2%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
▶	66.3%	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
▶	99.2%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	100.0%	(+.f64 x 1/3)
	51.2%	x
	50.7%	1/3

Compiler

Compiled 84 to 64 computations (23.8% saved)

localize150.0ms (4%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 1/9 (*.f64 x x))
✓	100.0%	(-.f64 1/3 x)
✓	76.2%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
✓	100.0%	(-.f64 (.f64 x x) (.f64 x 1/3))
✓	99.9%	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3)))
✓	99.5%	(*.f64 x 1/3)
✓	67.1%	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
✓	100.0%	(+.f64 1 (+.f64 x 1/3))
	100.0%	(+.f64 x 1/3)
✓	99.2%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)

Compiler

Compiled 93 to 58 computations (37.6% saved)

series5.0ms (0.1%)

Counts

9 → 108

Calls

27 calls:

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

rewrite166.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`expm1-udef`
524×	`add-sqr-sqrt`
506×	`pow1`
504×	`*-un-lft-identity`
496×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	129
1	529	83
2	7727	83

Stop Event

1×	node limit

Counts

9 → 487

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1 (+.f64 x 1/3))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))
(*.f64 x 1/3)
(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3)))
(-.f64 (.f64 x x) (.f64 x 1/3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(-.f64 1/3 x)
(-.f64 1/9 (*.f64 x x))

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

simplify488.0ms (12.8%)

Algorithm

1×	egg-herbie

Rules

1412×	`times-frac`
888×	`fma-def`
848×	`distribute-lft-in`
846×	`distribute-rgt-in`
320×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	784	14999
1	2090	13795

Stop Event

1×	node limit

Counts

595 → 502

Calls

Call 1

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

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

eval381.0ms (10%)

Compiler: Compiled 9584 to 7126 computations (25.6% saved)

prune142.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	537	2	539
Fresh	0	2	2
Picked	3	0	3
Done	0	1	1
Total	540	5	545

Accuracy

100.0%

Counts

545 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))
▶	99.2%	(+.f64 (+.f64 x -2/3) 1)
✓	100.0%	(+.f64 x 1/3)
	51.2%	x
	50.7%	1/3
▶	51.7%	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))
▶	99.2%	(+.f64 (+.f64 x -2/3) 1)
✓	100.0%	(+.f64 x 1/3)
	51.2%	x
	50.7%	1/3

Compiler

Compiled 52 to 42 computations (19.2% saved)

localize112.0ms (2.9%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1/9 (*.f64 x -1/3))
✓	99.5%	(*.f64 x -1/3)
✓	92.0%	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))
✓	100.0%	(+.f64 x -2/3)
✓	99.2%	(+.f64 (+.f64 x -2/3) 1)

Compiler

Compiled 45 to 35 computations (22.2% saved)

series5.0ms (0.1%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(+.f64 x -2/3)
0.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))
0.0ms	x	@	0	(*.f64 x -1/3)
0.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))
0.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))

rewrite149.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`log-prod`
880×	`fma-def`
816×	`prod-diff`
600×	`expm1-udef`
592×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	371	57
2	4686	57

Stop Event

1×	node limit

Counts

5 → 185

Calls

Call 1

Inputs
(+.f64 (+.f64 x -2/3) 1)
(+.f64 x -2/3)
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))
(*.f64 x -1/3)
(+.f64 1/9 (*.f64 x -1/3))

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (/.f64 1 (+.f64 x -5/3)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 1 (/.f64 (+.f64 x -5/3) (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)) (neg.f64 (+.f64 x -5/3)))
(/.f64 (fma.f64 x x -1/9) (-.f64 x 1/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 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 (+.f64 x -2/3) 1 1)
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x -2/3) 1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1) 1)
(fma.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))) 1)
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)) 1)
(-.f64 (+.f64 x 1/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))
(*.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x -2/3))
(*.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (.f64 (cbrt.f64 (+.f64 x -2/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))
(.f64 (sqrt.f64 (+.f64 x -2/3)) (.f64 (sqrt.f64 (+.f64 x -2/3)) 1))
(.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (.f64 x -2/3))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)) (+.f64 (pow.f64 x 3) -8/27)))
(/.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (+.f64 4/9 (-.f64 (.f64 x x) (.f64 x -2/3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -8/27)) (neg.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 -2/3 x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -8/27) 1) (-.f64 (fma.f64 x x 4/9) (.f64 x -2/3)))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x 2/3))
(pow.f64 (+.f64 x -2/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))
(log.f64 (exp.f64 (+.f64 x -2/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -2/3))))
(cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))
(expm1.f64 (log.f64 (+.f64 x 1/3)))
(expm1.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(exp.f64 (log.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -2/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -2/3)))
(fma.f64 x 1 -2/3)
(fma.f64 1 x -2/3)
(fma.f64 1 (+.f64 x 1/3) -1)
(fma.f64 (+.f64 x 1/3) 1 -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)
(fma.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (/.f64 1 (+.f64 x -5/3)) -1)
(+.f64 0 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))) 1)
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x -1/3 1/9)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)) 1)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 x -1/3 1/9))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 x -1/3 1/9))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(*.f64 (+.f64 -1/27 (neg.f64 (pow.f64 x 3))) (/.f64 1 (neg.f64 (fma.f64 x -1/3 1/9))))
(*.f64 (/.f64 1 (fma.f64 x -1/3 1/9)) (+.f64 (pow.f64 x 3) 1/27))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (fma.f64 x -1/3 1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -1/3 1/9))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (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)) (fma.f64 x -1/3 1/9)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (sqrt.f64 (fma.f64 x -1/3 1/9))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (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)) (fma.f64 x -1/3 1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (fma.f64 x -1/3 1/9))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 (pow.f64 x 3) -1/27 1/729)) (fma.f64 (.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (-.f64 1/81 (.f64 1/9 (.f64 x x)))) (+.f64 1/9 (.f64 1/3 x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) 2)
(pow.f64 (/.f64 (fma.f64 x -1/3 1/9) (+.f64 (pow.f64 x 3) 1/27)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (neg.f64 (fma.f64 x -1/3 1/9))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x 3) 1/27) 3) (pow.f64 (fma.f64 x -1/3 1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(+.f64 0 (*.f64 x -1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(pow.f64 (*.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/27))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(exp.f64 (log.f64 (*.f64 x -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/3 1/9))) 1)
(-.f64 (/.f64 1/81 (+.f64 1/9 (.f64 1/3 x))) (/.f64 (.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 1/3 x))))
(*.f64 1 (fma.f64 x -1/3 1/9))
(*.f64 (fma.f64 x -1/3 1/9) 1)
(*.f64 (cbrt.f64 (fma.f64 x -1/3 1/9)) (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2)) (cbrt.f64 (fma.f64 x -1/3 1/9)))
(*.f64 (sqrt.f64 (fma.f64 x -1/3 1/9)) (sqrt.f64 (fma.f64 x -1/3 1/9)))
(.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (/.f64 1 (fma.f64 (.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81)))
(.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x))) (/.f64 1 (+.f64 1/9 (.f64 1/3 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81) (fma.f64 (pow.f64 x 3) -1/27 1/729)))
(/.f64 1 (/.f64 (+.f64 1/9 (.f64 1/3 x)) (-.f64 1/81 (.f64 1/9 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 1/9 (.f64 x x) (-.f64 1/81 (.f64 -1/27 x))))
(/.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x))) (+.f64 1/9 (*.f64 1/3 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729)) (neg.f64 (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81)))
(/.f64 (neg.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x)))) (neg.f64 (+.f64 1/9 (*.f64 1/3 x))))
(/.f64 (fma.f64 1/9 (*.f64 x x) -1/81) (fma.f64 x -1/3 -1/9))
(pow.f64 (fma.f64 x -1/3 1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/3 1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/3 1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/3 1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x -1/3 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/3 1/9)))
(exp.f64 (log.f64 (fma.f64 x -1/3 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/3 1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x -1/3 1/9)))
(fma.f64 x -1/3 1/9)
(fma.f64 1 (*.f64 x -1/3) 1/9)
(fma.f64 -1/3 x 1/9)
(fma.f64 (*.f64 x -1/3) 1 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/3) 1/9)
(fma.f64 (cbrt.f64 (.f64 x -1/3)) (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (cbrt.f64 (.f64 x -1/3)) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/3) 1/9)
(fma.f64 (sqrt.f64 (.f64 x -1/3)) (sqrt.f64 (.f64 x -1/3)) 1/9)
(fma.f64 (*.f64 -1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 (*.f64 -1/3 (sqrt.f64 x)) (sqrt.f64 x) 1/9)

simplify149.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

726×	`cancel-sign-sub-inv`
626×	`log-prod`
586×	`fma-neg`
448×	`associate-+r+`
416×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	4481
1	907	4203
2	3126	4103

Stop Event

1×	node limit

Counts

245 → 253

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)
-2/3
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
x
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
x
(-.f64 x 2/3)
(-.f64 x 2/3)
(-.f64 x 2/3)
1/3
(+.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 18 (pow.f64 x 3)) x)))
(*.f64 -3 (pow.f64 x 2))
(+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x)) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1/3 (*.f64 2/9 (/.f64 1 x))))
(*.f64 -3 (pow.f64 x 2))
(+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x)) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1/3 (*.f64 2/9 (/.f64 1 x))))
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
1/9
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (*.f64 -1/3 x))
(*.f64 -1/3 x)
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 1/9 (*.f64 -1/3 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (/.f64 1 (+.f64 x -5/3)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 1 (/.f64 (+.f64 x -5/3) (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)) (neg.f64 (+.f64 x -5/3)))
(/.f64 (fma.f64 x x -1/9) (-.f64 x 1/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 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 (+.f64 x -2/3) 1 1)
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x -2/3) 1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1) 1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1) 1)
(fma.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))) 1)
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)) 1)
(-.f64 (+.f64 x 1/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 2/3)) (/.f64 4/9 (+.f64 x 2/3)))
(*.f64 (+.f64 x -2/3) 1)
(*.f64 1 (+.f64 x -2/3))
(*.f64 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (.f64 (cbrt.f64 (+.f64 x -2/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)))
(.f64 (sqrt.f64 (+.f64 x -2/3)) (.f64 (sqrt.f64 (+.f64 x -2/3)) 1))
(.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (.f64 x -2/3))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)) (+.f64 (pow.f64 x 3) -8/27)))
(/.f64 1 (/.f64 (+.f64 x 2/3) (fma.f64 x x -4/9)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3)))
(/.f64 (+.f64 (pow.f64 x 3) -8/27) (+.f64 4/9 (-.f64 (.f64 x x) (.f64 x -2/3))))
(/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) -8/27)) (neg.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))))
(/.f64 (neg.f64 (fma.f64 x x -4/9)) (neg.f64 (+.f64 x 2/3)))
(/.f64 (-.f64 4/9 (*.f64 x x)) (-.f64 -2/3 x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -8/27) 1) (-.f64 (fma.f64 x x 4/9) (.f64 x -2/3)))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x 2/3))
(pow.f64 (+.f64 x -2/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x -2/3)) 3)
(pow.f64 (pow.f64 (+.f64 x -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x -2/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x -2/3) 2))
(log.f64 (exp.f64 (+.f64 x -2/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x -2/3))))
(cbrt.f64 (pow.f64 (+.f64 x -2/3) 3))
(expm1.f64 (log.f64 (+.f64 x 1/3)))
(expm1.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(exp.f64 (log.f64 (+.f64 x -2/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 x -2/3)) 1))
(log1p.f64 (expm1.f64 (+.f64 x -2/3)))
(fma.f64 x 1 -2/3)
(fma.f64 1 x -2/3)
(fma.f64 1 (+.f64 x 1/3) -1)
(fma.f64 (+.f64 x 1/3) 1 -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -2/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -2/3)
(fma.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -2/3)
(fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (/.f64 1 (+.f64 x -5/3)) -1)
(+.f64 0 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))) 1)
(*.f64 1 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))
(*.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (fma.f64 x -1/3 1/9)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)) 1)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 x -1/3 1/9))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) 2) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1 (fma.f64 x -1/3 1/9))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(*.f64 (+.f64 -1/27 (neg.f64 (pow.f64 x 3))) (/.f64 1 (neg.f64 (fma.f64 x -1/3 1/9))))
(*.f64 (/.f64 1 (fma.f64 x -1/3 1/9)) (+.f64 (pow.f64 x 3) 1/27))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (cbrt.f64 (fma.f64 x -1/3 1/9))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -1/3 1/9))) (/.f64 (+.f64 (pow.f64 x 3) 1/27) (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)) (fma.f64 x -1/3 1/9)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) 2) (sqrt.f64 (fma.f64 x -1/3 1/9))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (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)) (fma.f64 x -1/3 1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (cbrt.f64 (fma.f64 x -1/3 1/9))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 (pow.f64 x 3) -1/27 1/729)) (fma.f64 (.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (-.f64 1/81 (.f64 1/9 (.f64 x x)))) (+.f64 1/9 (.f64 1/3 x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) 2)
(pow.f64 (/.f64 (fma.f64 x -1/3 1/9) (+.f64 (pow.f64 x 3) 1/27)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (neg.f64 (fma.f64 x -1/3 1/9))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x 3) 1/27) 3) (pow.f64 (fma.f64 x -1/3 1/9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x -1/3 1/9))))
(+.f64 0 (*.f64 x -1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(pow.f64 (*.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/27))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(exp.f64 (log.f64 (*.f64 x -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/3 1/9))) 1)
(-.f64 (/.f64 1/81 (+.f64 1/9 (.f64 1/3 x))) (/.f64 (.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 1/3 x))))
(*.f64 1 (fma.f64 x -1/3 1/9))
(*.f64 (fma.f64 x -1/3 1/9) 1)
(*.f64 (cbrt.f64 (fma.f64 x -1/3 1/9)) (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2)) (cbrt.f64 (fma.f64 x -1/3 1/9)))
(*.f64 (sqrt.f64 (fma.f64 x -1/3 1/9)) (sqrt.f64 (fma.f64 x -1/3 1/9)))
(.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (/.f64 1 (fma.f64 (.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81)))
(.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x))) (/.f64 1 (+.f64 1/9 (.f64 1/3 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81) (fma.f64 (pow.f64 x 3) -1/27 1/729)))
(/.f64 1 (/.f64 (+.f64 1/9 (.f64 1/3 x)) (-.f64 1/81 (.f64 1/9 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 1/9 (.f64 x x) (-.f64 1/81 (.f64 -1/27 x))))
(/.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x))) (+.f64 1/9 (*.f64 1/3 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729)) (neg.f64 (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81)))
(/.f64 (neg.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x)))) (neg.f64 (+.f64 1/9 (*.f64 1/3 x))))
(/.f64 (fma.f64 1/9 (*.f64 x x) -1/81) (fma.f64 x -1/3 -1/9))
(pow.f64 (fma.f64 x -1/3 1/9) 1)
(pow.f64 (cbrt.f64 (fma.f64 x -1/3 1/9)) 3)
(pow.f64 (pow.f64 (fma.f64 x -1/3 1/9) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x -1/3 1/9)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2))
(log.f64 (exp.f64 (fma.f64 x -1/3 1/9)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 1/9))))
(cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -1/3 1/9)))
(exp.f64 (log.f64 (fma.f64 x -1/3 1/9)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/3 1/9)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x -1/3 1/9)))
(fma.f64 x -1/3 1/9)
(fma.f64 1 (*.f64 x -1/3) 1/9)
(fma.f64 -1/3 x 1/9)
(fma.f64 (*.f64 x -1/3) 1 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/3) 1/9)
(fma.f64 (cbrt.f64 (.f64 x -1/3)) (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (cbrt.f64 (.f64 x -1/3)) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/3) 1/9)
(fma.f64 (sqrt.f64 (.f64 x -1/3)) (sqrt.f64 (.f64 x -1/3)) 1/9)
(fma.f64 (*.f64 -1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 (*.f64 -1/3 (sqrt.f64 x)) (sqrt.f64 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)
-2/3
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
x
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
x
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
(-.f64 x 2/3)
(+.f64 x -2/3)
1/3
(+.f64 1/3 x)
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 1/3 x))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 x))
(+.f64 x (fma.f64 3 (*.f64 x x) 1/3))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (+.f64 (.f64 18 (pow.f64 x 3)) x)))
(fma.f64 3 (*.f64 x x) (+.f64 1/3 (fma.f64 18 (pow.f64 x 3) x)))
(+.f64 (fma.f64 18 (pow.f64 x 3) x) (fma.f64 3 (*.f64 x x) 1/3))
(*.f64 -3 (pow.f64 x 2))
(.f64 -3 (.f64 x x))
(.f64 x (.f64 x -3))
(+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -3 (*.f64 x x) (neg.f64 x))
(.f64 x (-.f64 (.f64 x -3) 1))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (neg.f64 x)) -1/3)
(fma.f64 -3 (*.f64 x x) (fma.f64 x -1 -1/3))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1/3 (*.f64 2/9 (/.f64 1 x))))
(-.f64 (fma.f64 -3 (*.f64 x x) (neg.f64 x)) (+.f64 1/3 (/.f64 2/9 x)))
(-.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 x -1 -1/3)) (/.f64 2/9 x))
(fma.f64 -3 (*.f64 x x) (fma.f64 x -1 (-.f64 -1/3 (/.f64 2/9 x))))
(*.f64 -3 (pow.f64 x 2))
(.f64 -3 (.f64 x x))
(.f64 x (.f64 x -3))
(+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -3 (*.f64 x x) (neg.f64 x))
(.f64 x (-.f64 (.f64 x -3) 1))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (neg.f64 x)) -1/3)
(fma.f64 -3 (*.f64 x x) (fma.f64 x -1 -1/3))
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (.f64 -1 x)) (+.f64 1/3 (*.f64 2/9 (/.f64 1 x))))
(-.f64 (fma.f64 -3 (*.f64 x x) (neg.f64 x)) (+.f64 1/3 (/.f64 2/9 x)))
(-.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 x -1 -1/3)) (/.f64 2/9 x))
(fma.f64 -3 (*.f64 x x) (fma.f64 x -1 (-.f64 -1/3 (/.f64 2/9 x))))
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
1/9
(+.f64 1/9 (*.f64 -1/3 x))
(fma.f64 x -1/3 1/9)
(+.f64 1/9 (*.f64 -1/3 x))
(fma.f64 x -1/3 1/9)
(+.f64 1/9 (*.f64 -1/3 x))
(fma.f64 x -1/3 1/9)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 1/9 (*.f64 -1/3 x))
(fma.f64 x -1/3 1/9)
(+.f64 1/9 (*.f64 -1/3 x))
(fma.f64 x -1/3 1/9)
(+.f64 1/9 (*.f64 -1/3 x))
(fma.f64 x -1/3 1/9)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 1/9 (*.f64 -1/3 x))
(fma.f64 x -1/3 1/9)
(+.f64 1/9 (*.f64 -1/3 x))
(fma.f64 x -1/3 1/9)
(+.f64 1/9 (*.f64 -1/3 x))
(fma.f64 x -1/3 1/9)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 1 (+.f64 x -5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -5/3)) (/.f64 -1 (+.f64 x -5/3)))
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (/.f64 1 (+.f64 x -5/3)))
(*.f64 (/.f64 1 (+.f64 x -5/3)) (+.f64 -1 (pow.f64 (+.f64 x -2/3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x -2/3) 2)) (+.f64 x -5/3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 1 (/.f64 (+.f64 x -5/3) (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)))
(*.f64 (/.f64 1 (+.f64 x -5/3)) (+.f64 -1 (pow.f64 (+.f64 x -2/3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x -2/3) 2)) (+.f64 x -5/3))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (-.f64 1/9 (*.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (fma.f64 x -1/3 1/9)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -2/3) 2) (+.f64 x -2/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1) (+.f64 x -5/3))
(*.f64 (/.f64 1 (+.f64 x -5/3)) (+.f64 -1 (pow.f64 (+.f64 x -2/3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x -2/3) 2)) (+.f64 x -5/3))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 1 (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x -2/3) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 (pow.f64 (+.f64 x -2/3) 2) (-.f64 5/3 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -2/3) 2) -1)) (neg.f64 (+.f64 x -5/3)))
(*.f64 (/.f64 1 (+.f64 x -5/3)) (+.f64 -1 (pow.f64 (+.f64 x -2/3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x -2/3) 2)) (+.f64 x -5/3))
(/.f64 (fma.f64 x x -1/9) (-.f64 x 1/3))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -2/3) 2)) (-.f64 1 (+.f64 x -2/3)))
(*.f64 (/.f64 1 (+.f64 x -5/3)) (+.f64 -1 (pow.f64 (+.f64 x -2/3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x -2/3) 2)) (+.f64 x -5/3))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(fma.f64 x 1 1/3)
(+.f64 1/3 x)
(fma.f64 (+.f64 x -2/3) 1 1)
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 1 (+.f64 x -2/3) 1)
(+.f64 1/3 x)
(fma.f64 (cbrt.f64 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 (cbrt.f64 (+.f64 x -2/3)) (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) 1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (cbrt.f64 (+.f64 x -2/3)) 1)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2/3)) 2) (*.f64 (cbrt.f64 (+.f64 x -2/3)) 1) 1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (sqrt.f64 (+.f64 x -2/3)) 1)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 x -2/3)) (*.f64 (sqrt.f64 (+.f64 x -2/3)) 1) 1)
(+.f64 1/3 x)
(fma.f64 (+.f64 (pow.f64 x 3) -8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))) 1)
(+.f64 (/.f64 (+.f64 (pow.f64 x 3) -8/27) (-.f64 (fma.f64 x x 4/9) (*.f64 x -2/3))) 1)
(+.f64 1 (/.f64 (+.f64 (pow.f64 x 3) -8/27) (fma.f64 x (+.f64 x 2/3) 4/9)))
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x 2/3)) 1)
(+.f64 (/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3)) 1)
(+.f64 1 (/.f64 (fma.f64 x x -4/9) (+.f64 x 2/3)))
(-.f64 (+.f64 x 1/3) 1)
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(sqrt.f64 (.f64 x (.f64 x 1/9)))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(*.f64 x -1/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(*.f64 x -1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/27))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(*.f64 x -1/3)
(exp.f64 (log.f64 (*.f64 x -1/3)))
(*.f64 x -1/3)
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))
(*.f64 x -1/3)
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(*.f64 x -1/3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/3 1/9))) 1)
(fma.f64 x -1/3 1/9)
(-.f64 (/.f64 1/81 (+.f64 1/9 (.f64 1/3 x))) (/.f64 (.f64 1/9 (.f64 x x)) (+.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/81 (.f64 -1/9 (.f64 x x))) (+.f64 1/9 (*.f64 1/3 x)))
(/.f64 (-.f64 1/81 (.f64 x (.f64 x 1/9))) (fma.f64 1/3 x 1/9))
(/.f64 (fma.f64 1/9 (*.f64 x x) -1/81) (fma.f64 x -1/3 -1/9))
(*.f64 1 (fma.f64 x -1/3 1/9))
(fma.f64 x -1/3 1/9)
(*.f64 (fma.f64 x -1/3 1/9) 1)
(fma.f64 x -1/3 1/9)
(*.f64 (cbrt.f64 (fma.f64 x -1/3 1/9)) (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2)) (cbrt.f64 (fma.f64 x -1/3 1/9)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2)) (cbrt.f64 (fma.f64 x -1/3 1/9)))
(*.f64 (sqrt.f64 (fma.f64 x -1/3 1/9)) (sqrt.f64 (fma.f64 x -1/3 1/9)))
(fma.f64 x -1/3 1/9)
(.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (/.f64 1 (fma.f64 (.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81))
(.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x))) (/.f64 1 (+.f64 1/9 (.f64 1/3 x))))
(/.f64 (+.f64 1/81 (.f64 -1/9 (.f64 x x))) (+.f64 1/9 (*.f64 1/3 x)))
(/.f64 (-.f64 1/81 (.f64 x (.f64 x 1/9))) (fma.f64 1/3 x 1/9))
(/.f64 (fma.f64 1/9 (*.f64 x x) -1/81) (fma.f64 x -1/3 -1/9))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81) (fma.f64 (pow.f64 x 3) -1/27 1/729)))
(.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (/.f64 1 (fma.f64 (.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81))
(/.f64 1 (/.f64 (+.f64 1/9 (.f64 1/3 x)) (-.f64 1/81 (.f64 1/9 (*.f64 x x)))))
(/.f64 (+.f64 1/81 (.f64 -1/9 (.f64 x x))) (+.f64 1/9 (*.f64 1/3 x)))
(/.f64 (-.f64 1/81 (.f64 x (.f64 x 1/9))) (fma.f64 1/3 x 1/9))
(/.f64 (fma.f64 1/9 (*.f64 x x) -1/81) (fma.f64 x -1/3 -1/9))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81))
(.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (/.f64 1 (fma.f64 (.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 1/9 (.f64 x x) (-.f64 1/81 (.f64 -1/27 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 1/9 (.f64 x x) (+.f64 1/81 (.f64 1/27 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 1/9 (.f64 x x) (+.f64 1/81 (.f64 x 1/27))))
(/.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x))) (+.f64 1/9 (*.f64 1/3 x)))
(/.f64 (+.f64 1/81 (.f64 -1/9 (.f64 x x))) (+.f64 1/9 (*.f64 1/3 x)))
(/.f64 (-.f64 1/81 (.f64 x (.f64 x 1/9))) (fma.f64 1/3 x 1/9))
(/.f64 (fma.f64 1/9 (*.f64 x x) -1/81) (fma.f64 x -1/3 -1/9))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729)) (neg.f64 (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81)))
(.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (/.f64 1 (fma.f64 (.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81)))
(/.f64 (fma.f64 (pow.f64 x 3) -1/27 1/729) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 -1/9) 1/81))
(/.f64 (neg.f64 (-.f64 1/81 (.f64 1/9 (.f64 x x)))) (neg.f64 (+.f64 1/9 (*.f64 1/3 x))))
(/.f64 (+.f64 1/81 (.f64 -1/9 (.f64 x x))) (+.f64 1/9 (*.f64 1/3 x)))
(/.f64 (-.f64 1/81 (.f64 x (.f64 x 1/9))) (fma.f64 1/3 x 1/9))
(/.f64 (fma.f64 1/9 (*.f64 x x) -1/81) (fma.f64 x -1/3 -1/9))
(/.f64 (fma.f64 1/9 (*.f64 x x) -1/81) (fma.f64 x -1/3 -1/9))
(/.f64 (+.f64 1/81 (.f64 -1/9 (.f64 x x))) (+.f64 1/9 (*.f64 1/3 x)))
(/.f64 (-.f64 1/81 (.f64 x (.f64 x 1/9))) (fma.f64 1/3 x 1/9))
(pow.f64 (fma.f64 x -1/3 1/9) 1)
(fma.f64 x -1/3 1/9)
(pow.f64 (cbrt.f64 (fma.f64 x -1/3 1/9)) 3)
(fma.f64 x -1/3 1/9)
(pow.f64 (pow.f64 (fma.f64 x -1/3 1/9) 3) 1/3)
(fma.f64 x -1/3 1/9)
(pow.f64 (sqrt.f64 (fma.f64 x -1/3 1/9)) 2)
(fma.f64 x -1/3 1/9)
(sqrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 2))
(fma.f64 x -1/3 1/9)
(log.f64 (exp.f64 (fma.f64 x -1/3 1/9)))
(fma.f64 x -1/3 1/9)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 1/9))))
(fma.f64 x -1/3 1/9)
(cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/9) 3))
(fma.f64 x -1/3 1/9)
(expm1.f64 (log1p.f64 (fma.f64 x -1/3 1/9)))
(fma.f64 x -1/3 1/9)
(exp.f64 (log.f64 (fma.f64 x -1/3 1/9)))
(fma.f64 x -1/3 1/9)
(exp.f64 (*.f64 (log.f64 (fma.f64 x -1/3 1/9)) 1))
(fma.f64 x -1/3 1/9)
(log1p.f64 (expm1.f64 (fma.f64 x -1/3 1/9)))
(fma.f64 x -1/3 1/9)
(fma.f64 x -1/3 1/9)
(fma.f64 1 (*.f64 x -1/3) 1/9)
(fma.f64 x -1/3 1/9)
(fma.f64 -1/3 x 1/9)
(fma.f64 x -1/3 1/9)
(fma.f64 (*.f64 x -1/3) 1 1/9)
(fma.f64 x -1/3 1/9)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/3) 1/9)
(fma.f64 x -1/3 1/9)
(fma.f64 (cbrt.f64 (.f64 x -1/3)) (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) 1/9)
(fma.f64 x -1/3 1/9)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (cbrt.f64 (.f64 x -1/3)) 1/9)
(fma.f64 x -1/3 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/3) 1/9)
(fma.f64 x -1/3 1/9)
(fma.f64 (sqrt.f64 (.f64 x -1/3)) (sqrt.f64 (.f64 x -1/3)) 1/9)
(fma.f64 x -1/3 1/9)
(fma.f64 (*.f64 -1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)
(fma.f64 x -1/3 1/9)
(fma.f64 (*.f64 -1/3 (sqrt.f64 x)) (sqrt.f64 x) 1/9)
(fma.f64 x -1/3 1/9)

eval156.0ms (4.1%)

Compiler: Compiled 3395 to 2730 computations (19.6% saved)

prune56.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	252	1	253
Fresh	0	2	2
Picked	0	2	2
Done	0	1	1
Total	252	6	258

Accuracy

100.0%

Counts

258 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))
✓	99.2%	(+.f64 (+.f64 x -2/3) 1)
✓	100.0%	(+.f64 x 1/3)
▶	50.0%	(+.f64 -2/3 1)
	51.2%	x
	50.7%	1/3
✓	51.7%	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))
✓	99.2%	(+.f64 (+.f64 x -2/3) 1)
✓	100.0%	(+.f64 x 1/3)
▶	50.0%	(+.f64 -2/3 1)
	51.2%	x
	50.7%	1/3

Compiler

Compiled 60 to 50 computations (16.7% saved)

localize21.0ms (0.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	98.4%	(+.f64 -2/3 1)

Compiler

Compiled 7 to 7 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite46.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`pow1`
698×	`add-sqr-sqrt`
674×	`*-un-lft-identity`
656×	`add-exp-log`
656×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	96	1
2	895	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 -2/3 1)

Outputs
1/3

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
1/3

Outputs
1/3

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	1	6	7

Accuracy

100.0%

Counts

7 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.7%	(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))
✓	99.2%	(+.f64 (+.f64 x -2/3) 1)
✓	100.0%	(+.f64 x 1/3)
✓	50.0%	(+.f64 -2/3 1)
	51.2%	x
	50.7%	1/3

Compiler

Compiled 91 to 71 computations (22% saved)

regimes14.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 -2/3 1)
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(+.f64 (+.f64 x -2/3) 1)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x 1/3))))

Outputs
(+.f64 x 1/3)

Calls

2 calls:

6.0ms	x
5.0ms	(+.f64 x (/.f64 1 3))

Results

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

Compiler

Compiled 69 to 52 computations (24.6% saved)

regimes14.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

Inputs
1/3
x
(+.f64 -2/3 1)

Outputs
x
1/3
x

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.4%)

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:

12.0ms

Results

Accuracy	Segments	Branch
50.7%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch71.0ms (1.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0028560397663172313	1.2444568993824077
53.0ms	-14398947011460778.0	-4.8312656652702395e-5

Results

63.0ms

304×

body

256

valid

Compiler

Compiled 124 to 103 computations (16.9% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6034823500676465/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -5944751508129055/18014398509481984) x (if (<=.f64 x 6034823500676465/18014398509481984) 1/3 x))
1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness16.0ms (0.4%)

Rules

14×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
8×	`associate-+l-`
6×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	18	21
2	26	21
3	34	21
4	44	21
5	56	21
6	71	21
7	75	21

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end0.0ms (0%)

preprocess65.0ms (1.7%)

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

analyze0.0ms (0%)

sample1.4s (36.1%)

preprocess17.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.4%)

series0.0ms (0%)

rewrite59.0ms (1.5%)

simplify48.0ms (1.3%)

eval8.0ms (0.2%)

prune36.0ms (1%)

localize150.0ms (4%)

series5.0ms (0.1%)

rewrite166.0ms (4.4%)

simplify488.0ms (12.8%)

eval381.0ms (10%)

prune142.0ms (3.7%)

localize112.0ms (2.9%)

series5.0ms (0.1%)

rewrite149.0ms (3.9%)

simplify149.0ms (3.9%)

eval156.0ms (4.1%)

prune56.0ms (1.5%)

localize21.0ms (0.6%)

series0.0ms (0%)

rewrite46.0ms (1.2%)

simplify12.0ms (0.3%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes14.0ms (0.4%)

regimes14.0ms (0.4%)

regimes14.0ms (0.4%)

bsearch71.0ms (1.9%)

simplify5.0ms (0.1%)

soundness16.0ms (0.4%)

end0.0ms (0%)

preprocess65.0ms (1.7%)

Profiling