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

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)

sample739.0ms (25.1%)

Results

729.0ms

8256×

body

256

valid

Bogosity

preprocess16.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

20×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
6×	`associate-+l-`
4×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	20	16
2	30	14
3	41	14
4	49	14
5	60	14
6	74	14
7	78	14

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 1 3))
(-.f64 (neg.f64 x) (/.f64 1 3))

Outputs
(-.f64 x (/.f64 1 3))
(+.f64 x -1/3)
(-.f64 (neg.f64 x) (/.f64 1 3))
(+.f64 (neg.f64 x) -1/3)
(fma.f64 -1 x -1/3)
(-.f64 -1/3 x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	14	7
2	15	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 x (/.f64 1 3))
(+.f64 x -1/3)

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

100.0%

Counts

3 → 1

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 (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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)

rewrite49.0ms (1.7%)

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	1392	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)

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1702×	`fma-def`
1262×	`distribute-rgt-in`
1238×	`distribute-lft-in`
612×	`associate-r`
554×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	646
1	189	586
2	586	490
3	3159	490

Stop Event

1×	node limit

Counts

42 → 37

Calls

Call 1

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

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

eval8.0ms (0.3%)

Compiler: Compiled 309 to 228 computations (26.2% saved)

prune8.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Accurracy

100.0%

Counts

38 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.2%	(/.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)
▶	72.1%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	49.7%	x
	51.8%	-1/3
▶	66.2%	(/.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)
▶	72.1%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
	49.7%	x
	51.8%	-1/3

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize147.0ms (5%)

Local Accuracy

Found 10 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x x) (.f64 x -1/3))
✓	100.0%	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))
✓	99.6%	(*.f64 x -1/3)
✓	86.0%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
	100.0%	(+.f64 x -1/3)
✓	99.2%	(+.f64 1 (+.f64 x -1/3))
✓	99.2%	(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
	100.0%	(+.f64 x -1/3)
✓	100.0%	(log1p.f64 (+.f64 x -1/3))
✓	97.1%	(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Compiler

Compiled 84 to 57 computations (32.1% saved)

series5.0ms (0.2%)

Counts

8 → 96

Calls

24 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	@	0	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
1.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))
1.0ms	x	@	inf	(*.f64 x -1/3)
0.0ms	x	@	inf	(log1p.f64 (+.f64 x -1/3))

rewrite133.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1120×	`fma-neg`
704×	`expm1-udef`
698×	`log1p-udef`
446×	`add-sqr-sqrt`
428×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	84
1	484	74
2	6319	74

Stop Event

1×	node limit

Counts

8 → 454

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))
(log1p.f64 (+.f64 x -1/3))
(-.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))

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

simplify197.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1776×	`fma-neg`
772×	`fma-def`
618×	`associate-r`
574×	`associate-l`
552×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	678	12878
1	1699	11684
2	7385	11658

Stop Event

1×	node limit

Counts

550 → 459

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (*.f64 9/8 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x))))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(+.f64 1/9 (+.f64 (*.f64 1/3 x) (pow.f64 x 2)))
(*.f64 1/3 x)
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 1 (+.f64 x -4/3))
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 (+.f64 x 1) -4/3)
(+.f64 (+.f64 x -4/3) 1)
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.f64 (+.f64 x -1/3) 1)
(*.f64 1 (+.f64 x -1/3))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (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 (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 (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 2/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(*.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 2/3) 2) -1) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(*.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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9)) 2)) (cbrt.f64 (+.f64 x -1/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (fma.f64 x (+.f64 x 1/3) 1/9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x (+.f64 x 1/3) 1/9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (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 2/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 2/3)) 1))
(.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)) (fma.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))))
(/.f64 1 (/.f64 1 (+.f64 x -1/3)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 x -1/3)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (+.f64 (pow.f64 (+.f64 x 2/3) 3) -1)))
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(+.f64 (.f64 x (+.f64 x 1/3)) (.f64 (fma.f64 1/3 x (*.f64 x -1/3)) 1))
(+.f64 (.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))
(+.f64 (fma.f64 1/3 x (.f64 x -1/3)) (.f64 x (+.f64 x 1/3)))
(+.f64 (.f64 x 1/3) (.f64 x x))
(*.f64 x (+.f64 x 1/3))
(.f64 1 (.f64 x (+.f64 x 1/3)))
(.f64 (.f64 x (+.f64 x 1/3)) 1)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 1/3)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 1/3)))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x -1/3) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(*.f64 (+.f64 x 1/3) x)
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x -1/3) 2)) (/.f64 1 (*.f64 x (+.f64 x -1/3))))
(.f64 (+.f64 x (sqrt.f64 (.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))) (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x -1/3) 3))))
(/.f64 1 (/.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x -1/3) 2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x -1/3) 3)) (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x -1/3) 2)) (.f64 x (+.f64 x -1/3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x -1/3) 3))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x -1/3) 2))) (neg.f64 (.f64 x (+.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 x 1/3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x 1/3) (.f64 x 1/3)) (.f64 (.f64 x x) (*.f64 x 1/3)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 1/3 x (.f64 x -1/3)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 (.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (.f64 x -1/3))) (.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x 1/3))) (-.f64 (.f64 x x) (*.f64 x 1/3)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (.f64 x -1/3)))) (-.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (.f64 x -1/3))))
(pow.f64 (*.f64 x (+.f64 x 1/3)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 1/3))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 1/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 1/3))))
(fma.f64 x x (*.f64 x 1/3))
(fma.f64 x x (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 1 (.f64 x x) (.f64 x 1/3))
(fma.f64 1 (.f64 x x) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 1 (.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (.f64 x -1/3)))
(fma.f64 (.f64 x x) 1 (.f64 x 1/3))
(fma.f64 (.f64 x x) 1 (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3)))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3)))))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3)))))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 1/3))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(log.f64 2/3)
(+.f64 (log.f64 2/3) (*.f64 3/2 x))
(+.f64 (log.f64 2/3) (*.f64 x 3/2))
(fma.f64 x 3/2 (log.f64 2/3))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (.f64 x x) (.f64 x 3/2)))
(+.f64 (log.f64 2/3) (fma.f64 x 3/2 (.f64 -9/8 (.f64 x x))))
(+.f64 (log.f64 2/3) (+.f64 (.f64 -9/8 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (*.f64 9/8 (pow.f64 x 3)))))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (.f64 x x) (fma.f64 3/2 x (.f64 9/8 (pow.f64 x 3)))))
(+.f64 (log.f64 2/3) (fma.f64 -9/8 (.f64 x x) (fma.f64 9/8 (pow.f64 x 3) (.f64 x 3/2))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x))
(+.f64 (/.f64 2/3 x) (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2/3 (/.f64 1 x))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2/3 x)) (/.f64 2/9 (*.f64 x x)))
(+.f64 (/.f64 -2/9 (*.f64 x x)) (+.f64 (/.f64 2/3 x) (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3)))) (/.f64 2/9 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -2/9 (*.f64 x x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2/3 x) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 2/3 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2/3 (/.f64 1 x)))) (*.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2/3 x) (log.f64 -1))) (/.f64 2/9 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 2/3 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -2/9 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 8/81 (/.f64 1 (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x))))) (.f64 2/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 2/3 x) (/.f64 8/81 (pow.f64 x 3)))) (/.f64 2/9 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 2/3 x) (-.f64 (/.f64 8/81 (pow.f64 x 3)) (/.f64 2/9 (*.f64 x x)))))
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
2/3
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
x
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
(+.f64 2/3 x)
(+.f64 x 2/3)
-1/3
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
x
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(-.f64 x 1/3)
(+.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
1/9
(+.f64 1/9 (*.f64 1/3 x))
(+.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)
(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)
(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 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)
(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)
(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 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)
(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)
(fma.f64 x (-.f64 x -1/3) 1/9)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (pow.f64 x 2) (*.f64 1/3 x))
(*.f64 x (+.f64 x 1/3))
(*.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 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.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 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 (*.f64 1/3 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(+.f64 x -1/3)
(+.f64 -1/3 x)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -1/3) 0)
(+.f64 -1/3 x)
(+.f64 1 (+.f64 x -4/3))
(+.f64 -1/3 x)
(+.f64 1 (*.f64 (+.f64 x -4/3) 1))
(+.f64 -1/3 x)
(+.f64 (+.f64 x 2/3) -1)
(+.f64 -1/3 x)
(+.f64 -1 (+.f64 x 2/3))
(+.f64 -1/3 x)
(+.f64 (+.f64 x 1) -4/3)
(+.f64 -1/3 x)
(+.f64 (+.f64 x -4/3) 1)
(+.f64 -1/3 x)
(-.f64 (+.f64 x 2/3) 1)
(+.f64 -1/3 x)
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(+.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 3) (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))) (/.f64 -1 (+.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x 1/3)) (/.f64 1/9 (+.f64 x 1/3)))
(+.f64 (*.f64 (/.f64 x (+.f64 x 1/3)) x) (/.f64 -1/9 (+.f64 x 1/3)))
(fma.f64 (/.f64 x (+.f64 x 1/3)) x (/.f64 -1/9 (+.f64 x 1/3)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 (+.f64 x -1/3) 2)) (/.f64 1 (+.f64 (+.f64 x -1/3) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (/.f64 1 (+.f64 x 5/3)))
(+.f64 (/.f64 (pow.f64 (+.f64 x 2/3) 2) (+.f64 x 5/3)) (/.f64 -1 (+.f64 x 5/3)))
(*.f64 (+.f64 x -1/3) 1)
(+.f64 -1/3 x)
(*.f64 1 (+.f64 x -1/3))
(+.f64 -1/3 x)
(*.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (-.f64 x -1/3) 1/9))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (fma.f64 x (+.f64 x 1/3) 1/9))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) -1/27)) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (+.f64 x 1/3) 1/9))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x (-.f64 x -1/3) 1/9))
(*.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)
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(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(+.f64 (.f64 x (+.f64 x 1/3)) (+.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))
(fma.f64 x (+.f64 x 1/3) (.f64 2 (fma.f64 1/3 x (.f64 -1/3 x))))
(fma.f64 2 (.f64 x 0) (.f64 x (-.f64 x -1/3)))
(+.f64 (fma.f64 1/3 x (.f64 x -1/3)) (.f64 x (+.f64 x 1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(+.f64 (.f64 x 1/3) (.f64 x x))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(.f64 1 (.f64 x (+.f64 x 1/3)))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(.f64 (.f64 x (+.f64 x 1/3)) 1)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x 1/3)))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 x (-.f64 x -1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 x -1/3)) 2)) (cbrt.f64 (*.f64 x (-.f64 x -1/3))))
(.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 1/3)))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x -1/3) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (*.f64 x (+.f64 x -1/3))))))
(.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 x (.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (.f64 (.f64 -1/3 x) (+.f64 -1/3 x)) (pow.f64 x 4)))
(*.f64 (+.f64 x 1/3) x)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x -1/3) 2)) (/.f64 1 (*.f64 x (+.f64 x -1/3))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 -1/3 x) 2)) (/.f64 1 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(.f64 (+.f64 x (sqrt.f64 (.f64 x -1/3))) (-.f64 x (sqrt.f64 (*.f64 x -1/3))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))) (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x -1/3) 3))))
(.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 x (.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (.f64 (.f64 -1/3 x) (+.f64 -1/3 x)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (.f64 x (+.f64 x -1/3)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x -1/3) 2))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 -1/3 x) 2)) (/.f64 1 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x -1/3) 3)) (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3)))))
(.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 x (.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (.f64 (.f64 -1/3 x) (+.f64 -1/3 x)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x -1/3) 2)) (.f64 x (+.f64 x -1/3)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 -1/3 x) 2)) (/.f64 1 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x -1/3) 3))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x -1/3) (.f64 x (+.f64 x -1/3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) -1/27))) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 -1/3 (.f64 x (+.f64 -1/3 x)))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (.f64 (*.f64 -1/3 x) (+.f64 -1/3 x)) (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x -1/3) 2))) (neg.f64 (.f64 x (+.f64 x -1/3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 -1/3 x) 2))) (.f64 (neg.f64 x) (+.f64 -1/3 x)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 x x -1/9))) (*.f64 x (-.f64 1/3 x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 x 1/3) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x 1/3) (.f64 x 1/3)) (.f64 (.f64 x x) (*.f64 x 1/3)))))
(.f64 (-.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) -1/27)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 x (.f64 -1/3 (*.f64 x (+.f64 -1/3 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x 6)) (fma.f64 x (.f64 (.f64 -1/3 x) (+.f64 -1/3 x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 1/3 x (.f64 x -1/3)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (-.f64 (.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (.f64 x -1/3))) (.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (*.f64 x -1/3))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 1/3 x (.f64 -1/3 x)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (.f64 (fma.f64 1/3 x (.f64 -1/3 x)) (-.f64 (fma.f64 1/3 x (.f64 -1/3 x)) (*.f64 x (+.f64 x 1/3))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x -1/3)) 3) (pow.f64 (.f64 x 0) 3)) (fma.f64 (.f64 x 0) (-.f64 (.f64 x 0) (.f64 x (-.f64 x -1/3))) (pow.f64 (.f64 x (-.f64 x -1/3)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x -1/3)) 3) (pow.f64 (.f64 x 0) 3)) (fma.f64 (.f64 x 0) (fma.f64 x 0 (.f64 x (-.f64 -1/3 x))) (pow.f64 (*.f64 x (-.f64 x -1/3)) 2)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x 1/3) (.f64 x 1/3))) (-.f64 (.f64 x x) (*.f64 x 1/3)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 -1/3 x) 2)) (/.f64 1 (*.f64 x (+.f64 -1/3 x))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -1/9)) (*.f64 x (+.f64 -1/3 x)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (.f64 (fma.f64 1/3 x (.f64 x -1/3)) (fma.f64 1/3 x (.f64 x -1/3)))) (-.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (.f64 x -1/3))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2) (.f64 (fma.f64 1/3 x (.f64 -1/3 x)) (fma.f64 1/3 x (.f64 -1/3 x)))) (-.f64 (.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (.f64 -1/3 x))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x -1/3)) 2) (.f64 (.f64 x 0) (.f64 x 0))) (fma.f64 x (+.f64 x 1/3) (*.f64 x 0)))
(pow.f64 (*.f64 x (+.f64 x 1/3)) 1)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 1/3))) 3)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3) 1/3)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 1/3))) 2)
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 2))
(fabs.f64 (*.f64 x (-.f64 x -1/3)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1/3)))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x 1/3)))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 1/3)) 3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x 1/3))) 1))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 1/3))))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 x x (*.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 x x (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 1 (.f64 x x) (.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 1 (.f64 x x) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 1 (.f64 x (+.f64 x 1/3)) (fma.f64 1/3 x (.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (.f64 x x) 1 (.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 (.f64 x x) 1 (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (.f64 -1/3 x) (fma.f64 1/3 x (.f64 -1/3 x)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 1/3 (*.f64 x 0)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x 1/3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x 1/3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (neg.f64 (-.f64 (.f64 -1/3 x) (fma.f64 1/3 x (.f64 -1/3 x)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 x 1/3 (*.f64 x 0)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x 1/3)) 2)) (cbrt.f64 (.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 x -1/3)) 2)) (cbrt.f64 (.f64 x (-.f64 x -1/3))) (*.f64 x 0))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x 1/3))) (sqrt.f64 (.f64 x (+.f64 x 1/3))) (fma.f64 1/3 x (*.f64 x -1/3)))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3)))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (.f64 -1/3 x) (fma.f64 1/3 x (.f64 -1/3 x)))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 1/3 (*.f64 x 0)))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x 1/3))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x 1/3))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (.f64 x -1/3)))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (.f64 -1/3 x) (fma.f64 1/3 x (.f64 -1/3 x)))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x 1/3 (*.f64 x 0)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 1/3))
(*.f64 x (+.f64 x 1/3))
(*.f64 x (-.f64 x -1/3))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 x -1/3) (fma.f64 1/3 x (*.f64 x -1/3)))))
(fma.f64 x (+.f64 x 1/3) (fma.f64 1/3 x (*.f64 -1/3 x)))
(fma.f64 x (+.f64 x 1/3) (*.f64 x 0))

eval632.0ms (21.5%)

Compiler: Compiled 9598 to 7487 computations (22% saved)

prune75.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	604	3	607
Fresh	0	2	2
Picked	3	0	3
Done	0	1	1
Total	607	6	613

Accurracy

100.0%

Counts

613 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
▶	99.2%	(-.f64 (+.f64 x 2/3) 1)
▶	51.0%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	49.7%	x
	51.8%	-1/3
▶	52.4%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
▶	99.2%	(-.f64 (+.f64 x 2/3) 1)
▶	51.0%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	49.7%	x
	51.8%	-1/3

Compiler

Compiled 60 to 50 computations (16.7% saved)

localize70.0ms (2.4%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (pow.f64 x 3) -1/27)
✓	100.0%	(+.f64 1/9 (*.f64 x 1/3))
✓	99.5%	(*.f64 x 1/3)
✓	93.8%	(/.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)
✓	98.4%	(-.f64 2/3 1)

Compiler

Compiled 50 to 40 computations (20% saved)

series2.0ms (0.1%)

Counts

7 → 72

Calls

18 calls:

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

rewrite129.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`log-prod`
876×	`fma-def`
830×	`prod-diff`
618×	`expm1-udef`
610×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	390	71
2	4805	71

Stop Event

1×	node limit

Counts

7 → 230

Calls

Call 1

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

Outputs
-1/3
(+.f64 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 0 (+.f64 -1/3 x))
(+.f64 -1 (+.f64 2/3 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x))) (cbrt.f64 (exp.f64 (+.f64 -1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(*.f64 1 (+.f64 -1/3 x))
(*.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 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (-.f64 1 (*.f64 (+.f64 2/3 x) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (neg.f64 (+.f64 x 5/3)))
(/.f64 (fma.f64 x x -1/9) (-.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))
(expm1.f64 (log1p.f64 (+.f64 -1/3 x)))
(expm1.f64 (*.f64 (log1p.f64 (+.f64 -1/3 x)) 1))
(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)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 x 1 -1/3)
(fma.f64 (+.f64 2/3 x) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1) -1)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) -1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x))) -1)
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)) -1)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(*.f64 1 (+.f64 2/3 x))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(.f64 (sqrt.f64 (+.f64 2/3 x)) (.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (.f64 2/3 x))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x)) (+.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 2/3 x)))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (+.f64 4/9 (-.f64 (.f64 x x) (.f64 2/3 x))))
(/.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 2/3 x))))
(/.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 2/3 x)))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(pow.f64 (+.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(log.f64 (exp.f64 (+.f64 2/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2/3 x))))
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log1p.f64 (+.f64 -1/3 x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 -1/3 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(fma.f64 1 x 2/3)
(fma.f64 1 (+.f64 x 5/3) -1)
(fma.f64 x 1 2/3)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 2/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
(fma.f64 (+.f64 x 5/3) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x 5/3)) (cbrt.f64 (+.f64 x 5/3))) (cbrt.f64 (+.f64 x 5/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 5/3)) (sqrt.f64 (+.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 (cbrt.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)) 2)))
(*.f64 (cbrt.f64 (pow.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 (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 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 (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 (+.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 (pow.f64 (cbrt.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 (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 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 1/3 1/9)) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 (cbrt.f64 (pow.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)) (pow.f64 (cbrt.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)) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2))
(*.f64 (pow.f64 (cbrt.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 1 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 1/3 x 1/9)
(fma.f64 (*.f64 x 1/3) 1 1/9)
(fma.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (.f64 1/9 (*.f64 x x))) 1/9)
(fma.f64 (cbrt.f64 (.f64 1/9 (.f64 x x))) (cbrt.f64 (*.f64 x 1/3)) 1/9)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/3) 1/9)
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3) 1/9)
(fma.f64 (.f64 1/3 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) 1/9)
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) 1/9)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x 3) -1/27))) 1)
(-.f64 (/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1/729 (+.f64 (pow.f64 x 3) 1/27)))
(*.f64 1 (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)))
(.f64 (+.f64 -1/19683 (pow.f64 x 9)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (.f64 (pow.f64 x 3) -1/27))))
(*.f64 (+.f64 (pow.f64 x 6) -1/729) (/.f64 1 (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)) (+.f64 -1/19683 (pow.f64 x 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (pow.f64 x 6) -1/729)))
(/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (+.f64 1/729 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (neg.f64 (+.f64 -1/19683 (pow.f64 x 9))) (neg.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1/729)) (neg.f64 (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/27 (pow.f64 x 3)))
(pow.f64 (+.f64 (pow.f64 x 3) -1/27) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x 3) -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 3) -1/27))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x 3) -1/27)))
(exp.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 3) -1/27)))
(fma.f64 1 (pow.f64 x 3) -1/27)
(fma.f64 x (*.f64 x x) -1/27)
(fma.f64 (pow.f64 x 3) 1 -1/27)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (*.f64 x x)) -1/27)
(fma.f64 (*.f64 x x) x -1/27)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x x)) -1/27)
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) -1/27)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 3) x -1/27)
(fma.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3) -1/27)
(fma.f64 (.f64 (.f64 x x) 1) x -1/27)
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) -1/27)
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (sqrt.f64 x) -1/27)

simplify101.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

712×	`log-prod`
594×	`fma-neg`
570×	`exp-prod`
490×	`div-sub`
416×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	5800
1	1125	5448
2	4415	5416

Stop Event

1×	node limit

Counts

302 → 310

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
x
(-.f64 x 1/3)
(-.f64 x 1/3)
(-.f64 x 1/3)
2/3
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
x
(+.f64 2/3 x)
(+.f64 2/3 x)
(+.f64 2/3 x)
-1/3
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 18 (pow.f64 x 3)) x)) 1/3)
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x))) (*.f64 2/9 (/.f64 1 x)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (.f64 3 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x)))
(-.f64 (+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 1/3 (.f64 -1 x))) (*.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))
-1/27
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
(-.f64 (pow.f64 x 3) 1/27)
-1/3
(+.f64 2/3 (+.f64 x -1))
(+.f64 -1/3 x)
(+.f64 x -1/3)
(+.f64 (+.f64 2/3 x) -1)
(+.f64 0 (+.f64 -1/3 x))
(+.f64 -1 (+.f64 2/3 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x))) (cbrt.f64 (exp.f64 (+.f64 -1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1/3 x)))))
(*.f64 1 (+.f64 -1/3 x))
(*.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 (pow.f64 (+.f64 2/3 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (/.f64 1 (+.f64 x 5/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2/3 x)) 1) (-.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)) (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 5/3) (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (-.f64 1/9 (*.f64 x -1/3))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1) (+.f64 (pow.f64 (+.f64 2/3 x) 2) (-.f64 1 (*.f64 (+.f64 2/3 x) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1) (+.f64 x 5/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) (+.f64 x 5/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2/3 x) 2) -1)) (neg.f64 (+.f64 x 5/3)))
(/.f64 (fma.f64 x x -1/9) (-.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))
(expm1.f64 (log1p.f64 (+.f64 -1/3 x)))
(expm1.f64 (*.f64 (log1p.f64 (+.f64 -1/3 x)) 1))
(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)))
(fma.f64 1 x -1/3)
(fma.f64 1 (+.f64 2/3 x) -1)
(fma.f64 x 1 -1/3)
(fma.f64 (+.f64 2/3 x) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (*.f64 (cbrt.f64 (+.f64 2/3 x)) 1) -1)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) -1/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) -1/3)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 2/3 x)) (*.f64 (sqrt.f64 (+.f64 2/3 x)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3)
(fma.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x))) -1)
(fma.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)) -1)
(-.f64 (+.f64 x 5/3) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x -2/3)) (/.f64 4/9 (+.f64 x -2/3)))
(*.f64 1 (+.f64 2/3 x))
(*.f64 (+.f64 2/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 2/3 x)) (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (cbrt.f64 (+.f64 2/3 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 2/3 x)) 2) (.f64 (cbrt.f64 (+.f64 2/3 x)) 1))
(*.f64 (sqrt.f64 (+.f64 2/3 x)) (sqrt.f64 (+.f64 2/3 x)))
(.f64 (sqrt.f64 (+.f64 2/3 x)) (.f64 (sqrt.f64 (+.f64 2/3 x)) 1))
(.f64 (+.f64 (pow.f64 x 3) 8/27) (/.f64 1 (-.f64 (fma.f64 x x 4/9) (.f64 2/3 x))))
(*.f64 (fma.f64 x x -4/9) (/.f64 1 (+.f64 x -2/3)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 4/9) (*.f64 2/3 x)) (+.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 2/3 x)))
(/.f64 (+.f64 (pow.f64 x 3) 8/27) (+.f64 4/9 (-.f64 (.f64 x x) (.f64 2/3 x))))
(/.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 2/3 x))))
(/.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 2/3 x)))
(/.f64 (*.f64 (fma.f64 x x -4/9) 1) (+.f64 x -2/3))
(pow.f64 (+.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (+.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (+.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 2/3 x)) 2)
(sqrt.f64 (pow.f64 (+.f64 2/3 x) 2))
(log.f64 (exp.f64 (+.f64 2/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2/3 x))))
(cbrt.f64 (pow.f64 (+.f64 2/3 x) 3))
(expm1.f64 (log.f64 (+.f64 x 5/3)))
(exp.f64 (log1p.f64 (+.f64 -1/3 x)))
(exp.f64 (*.f64 (log1p.f64 (+.f64 -1/3 x)) 1))
(log1p.f64 (expm1.f64 (+.f64 2/3 x)))
(fma.f64 1 x 2/3)
(fma.f64 1 (+.f64 x 5/3) -1)
(fma.f64 x 1 2/3)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) 2/3)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) 2/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 2/3)
(fma.f64 (+.f64 x 5/3) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x 5/3)) (cbrt.f64 (+.f64 x 5/3))) (cbrt.f64 (+.f64 x 5/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 5/3)) (sqrt.f64 (+.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 (cbrt.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)) 2)))
(*.f64 (cbrt.f64 (pow.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 (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 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 (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 (+.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 (pow.f64 (cbrt.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 (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 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 1/3 1/9)) 2)) (cbrt.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 (cbrt.f64 (pow.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)) (pow.f64 (cbrt.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)) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 1/9)) 2))
(*.f64 (pow.f64 (cbrt.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 1 (*.f64 x 1/3) 1/9)
(fma.f64 x 1/3 1/9)
(fma.f64 1/3 x 1/9)
(fma.f64 (*.f64 x 1/3) 1 1/9)
(fma.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (.f64 1/9 (*.f64 x x))) 1/9)
(fma.f64 (cbrt.f64 (.f64 1/9 (.f64 x x))) (cbrt.f64 (*.f64 x 1/3)) 1/9)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/3) 1/9)
(fma.f64 (sqrt.f64 (.f64 x 1/3)) (sqrt.f64 (.f64 x 1/3)) 1/9)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3) 1/9)
(fma.f64 (.f64 1/3 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) 1/9)
(fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) 1/9)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x 3) -1/27))) 1)
(-.f64 (/.f64 (pow.f64 x 6) (+.f64 (pow.f64 x 3) 1/27)) (/.f64 1/729 (+.f64 (pow.f64 x 3) 1/27)))
(*.f64 1 (+.f64 (pow.f64 x 3) -1/27))
(*.f64 (+.f64 (pow.f64 x 3) -1/27) 1)
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)))
(.f64 (+.f64 -1/19683 (pow.f64 x 9)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (.f64 (pow.f64 x 3) -1/27))))
(*.f64 (+.f64 (pow.f64 x 6) -1/729) (/.f64 1 (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)) (+.f64 -1/19683 (pow.f64 x 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 (pow.f64 x 6) -1/729)))
(/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 -1/19683 (pow.f64 x 9)) (+.f64 1/729 (-.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (+.f64 (pow.f64 x 3) 1/27))
(/.f64 (neg.f64 (+.f64 -1/19683 (pow.f64 x 9))) (neg.f64 (-.f64 (+.f64 (pow.f64 x 6) 1/729) (*.f64 (pow.f64 x 3) -1/27))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1/729)) (neg.f64 (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 (-.f64 1/729 (pow.f64 x 6)) (-.f64 -1/27 (pow.f64 x 3)))
(pow.f64 (+.f64 (pow.f64 x 3) -1/27) 1)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) -1/27)) 2)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x 3) -1/27)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 3) -1/27))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) -1/27) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x 3) -1/27)))
(exp.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 3) -1/27)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 3) -1/27)))
(fma.f64 1 (pow.f64 x 3) -1/27)
(fma.f64 x (*.f64 x x) -1/27)
(fma.f64 (pow.f64 x 3) 1 -1/27)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (*.f64 x x)) -1/27)
(fma.f64 (*.f64 x x) x -1/27)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x x)) -1/27)
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) -1/27)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 3) x -1/27)
(fma.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3) -1/27)
(fma.f64 (.f64 (.f64 x x) 1) x -1/27)
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) -1/27)
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (sqrt.f64 x) -1/27)

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

eval142.0ms (4.8%)

Compiler: Compiled 4264 to 3383 computations (20.7% saved)

prune39.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	309	1	310
Fresh	0	2	2
Picked	1	2	3
Done	0	1	1
Total	310	6	316

Accurracy

100.0%

Counts

316 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.5%	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
✓	99.2%	(-.f64 (+.f64 x 2/3) 1)
✓	51.0%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	49.7%	x
	51.8%	-1/3
▶	51.5%	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
✓	99.2%	(-.f64 (+.f64 x 2/3) 1)
✓	51.0%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	49.7%	x
	51.8%	-1/3

Compiler

Compiled 52 to 44 computations (15.4% saved)

localize94.0ms (3.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 1/9 (*.f64 x 1/3))
✓	99.7%	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
	99.5%	(*.f64 x 1/3)

Compiler

Compiled 21 to 17 computations (19% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1878×	`pow1`
1758×	`add-exp-log`
1758×	`log1p-expm1-u`
1758×	`expm1-log1p-u`
1726×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	196	15
2	2360	15

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

simplify52.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1830×	`fma-def`
1590×	`times-frac`
864×	`log-prod`
784×	`associate-r`
718×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	978
1	251	850
2	792	720
3	3714	702

Stop Event

1×	node limit

Counts

34 → 65

Calls

Call 1

Inputs
-1/3
(-.f64 x 1/3)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(/.f64 -1/9 x)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(/.f64 -1/9 x)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 1)
(*.f64 -1/27 (/.f64 1 (fma.f64 x 1/3 1/9)))
(*.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1)
(*.f64 1 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(*.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 2) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(*.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x 1/3 1/9))))
(*.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(*.f64 (/.f64 1 (fma.f64 x 1/3 1/9)) -1/27)
(.f64 (/.f64 -1/27 (+.f64 1/729 (.f64 (pow.f64 x 3) 1/27))) (+.f64 1/81 (-.f64 (.f64 1/9 (.f64 x x)) (*.f64 1/27 x))))
(.f64 (/.f64 -1/27 (-.f64 1/81 (.f64 1/9 (.f64 x x)))) (+.f64 1/9 (.f64 -1/3 x)))
(pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 3)
(pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 2)
(pow.f64 (*.f64 (fma.f64 x 1/3 1/9) -27) -1)
(sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) 2)))
(log.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(cbrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(exp.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(log1p.f64 (expm1.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))

Outputs
-1/3
(-.f64 x 1/3)
(+.f64 x -1/3)
(+.f64 -1/3 x)
(-.f64 (+.f64 (*.f64 -3 (pow.f64 x 2)) x) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) x) -1/3)
(+.f64 -1/3 (fma.f64 -3 (*.f64 x x) x))
(+.f64 -1/3 (fma.f64 x (*.f64 x -3) x))
(fma.f64 (fma.f64 x -3 1) x -1/3)
(-.f64 (+.f64 (.f64 -3 (pow.f64 x 2)) (+.f64 (.f64 9 (pow.f64 x 3)) x)) 1/3)
(+.f64 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)) -1/3)
(+.f64 -1/3 (fma.f64 -3 (*.f64 x x) (fma.f64 9 (pow.f64 x 3) x)))
(+.f64 -1/3 (fma.f64 x (*.f64 x -3) (fma.f64 9 (pow.f64 x 3) x)))
(fma.f64 (*.f64 x x) (fma.f64 x 9 -3) (+.f64 -1/3 x))
(/.f64 -1/9 x)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x))
(+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 -1/9 x))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(+.f64 (/.f64 1/243 (pow.f64 x 4)) (-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3)))))
(+.f64 (+.f64 (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 -1/9 x)) (/.f64 1/243 (pow.f64 x 4)))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/243 (pow.f64 x 4)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/243 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x))) (/.f64 1/81 (pow.f64 x 3)))
(/.f64 -1/9 x)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (.f64 1/9 (/.f64 1 x)))
(-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/9 x))
(+.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 -1/9 x))
(+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 1/9 (/.f64 1 x))))
(-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 -1/9 x))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x)) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/243 (/.f64 1 (pow.f64 x 4))) (.f64 1/27 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/81 (/.f64 1 (pow.f64 x 3))) (.f64 1/9 (/.f64 1 x))))
(+.f64 (/.f64 1/243 (pow.f64 x 4)) (-.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/9 x) (/.f64 1/81 (pow.f64 x 3)))))
(+.f64 (+.f64 (-.f64 (/.f64 1/27 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 -1/9 x)) (/.f64 1/243 (pow.f64 x 4)))
(+.f64 (/.f64 1/27 (*.f64 x x)) (+.f64 (/.f64 1/243 (pow.f64 x 4)) (+.f64 (/.f64 -1/9 x) (/.f64 -1/81 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/243 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 1/27 x) x) (/.f64 -1/9 x))) (/.f64 1/81 (pow.f64 x 3)))
(-.f64 (+.f64 1 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 1)
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 -1/27 (/.f64 1 (fma.f64 x 1/3 1/9)))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1)
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 1 (/.f64 -1/27 (fma.f64 x 1/3 1/9)))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 2))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 2) (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 1/27 (/.f64 1 (neg.f64 (fma.f64 x 1/3 1/9))))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(*.f64 (/.f64 1 (fma.f64 x 1/3 1/9)) -1/27)
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(.f64 (/.f64 -1/27 (+.f64 1/729 (.f64 (pow.f64 x 3) 1/27))) (+.f64 1/81 (-.f64 (.f64 1/9 (.f64 x x)) (*.f64 1/27 x))))
(/.f64 (.f64 -1/27 (+.f64 1/81 (+.f64 (.f64 (.f64 x x) 1/9) (.f64 -1/27 x)))) (+.f64 1/729 (*.f64 (pow.f64 x 3) 1/27)))
(.f64 (/.f64 -1/27 (fma.f64 (pow.f64 x 3) 1/27 1/729)) (+.f64 1/81 (.f64 x (+.f64 (*.f64 x 1/9) -1/27))))
(*.f64 (/.f64 -1/27 (fma.f64 (pow.f64 x 3) 1/27 1/729)) (fma.f64 x (fma.f64 x 1/9 -1/27) 1/81))
(/.f64 -1/27 (/.f64 (fma.f64 (pow.f64 x 3) 1/27 1/729) (fma.f64 x (fma.f64 x 1/9 -1/27) 1/81)))
(.f64 (/.f64 -1/27 (-.f64 1/81 (.f64 1/9 (.f64 x x)))) (+.f64 1/9 (.f64 -1/3 x)))
(.f64 (/.f64 -1/27 (+.f64 1/81 (.f64 -1/9 (.f64 x x)))) (+.f64 1/9 (.f64 -1/3 x)))
(.f64 (/.f64 -1/27 (+.f64 1/81 (.f64 (*.f64 x x) -1/9))) (fma.f64 -1/3 x 1/9))
(/.f64 (+.f64 -1/243 (.f64 x 1/81)) (fma.f64 (.f64 x x) -1/9 1/81))
(/.f64 (fma.f64 x 1/81 -1/243) (fma.f64 x (*.f64 x -1/9) 1/81))
(pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1)
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (cbrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 3)
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (sqrt.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))) 2)
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(pow.f64 (*.f64 (fma.f64 x 1/3 1/9) -27) -1)
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(sqrt.f64 (/.f64 1/729 (pow.f64 (fma.f64 x 1/3 1/9) 2)))
(sqrt.f64 (pow.f64 (+.f64 -3 (*.f64 x -9)) -2))
(fabs.f64 (/.f64 1/27 (fma.f64 -1/3 x -1/9)))
(log.f64 (exp.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(cbrt.f64 (pow.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 3))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(expm1.f64 (log1p.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(exp.f64 (log.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))
(log1p.f64 (expm1.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9))))
(+.f64 1 (-.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 1))
(+.f64 (/.f64 -1/27 (fma.f64 x 1/3 1/9)) 0)
(/.f64 -1/27 (fma.f64 x 1/3 1/9))
(/.f64 1/27 (fma.f64 -1/3 x -1/9))

eval48.0ms (1.6%)

Compiler: Compiled 1578 to 1255 computations (20.5% saved)

prune21.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	134	6	140

Accurracy

100.0%

Counts

140 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.5%	(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
✓	99.2%	(-.f64 (+.f64 x 2/3) 1)
✓	51.0%	(-.f64 2/3 1)
✓	100.0%	(+.f64 x -1/3)
	49.7%	x
	51.8%	-1/3

Compiler

Compiled 90 to 73 computations (18.9% saved)

regimes15.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 2/3 1)
(-.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 2/3) 1)
(-.f64 (+.f64 1 (+.f64 x -1/3)) 1)
(/.f64 -1/27 (+.f64 1/9 (*.f64 x 1/3)))
(/.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))))
(expm1.f64 (log1p.f64 (+.f64 x -1/3)))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

8.0ms	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 72 to 57 computations (20.8% saved)

regimes10.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.1%	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:

2.0ms

Results

Accuracy	Segments	Branch
51.8%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch30.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.08013077433751403	12652.090381018039
14.0ms	-14.181457757790769	-4.0830503185383524e-8

Results

26.0ms

288×

body

256

valid

Compiler

Compiled 118 to 98 computations (16.9% saved)

simplify6.0ms (0.2%)

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 5944751508129055/18014398509481984) -1/3 x))
-1/3

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness14.0ms (0.5%)

Rules

2×	`1-exp`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	14	7
2	15	7

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess34.0ms (1.2%)

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

analyze0.0ms (0%)

sample739.0ms (25.1%)

preprocess16.0ms (0.6%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.5%)

series0.0ms (0%)

rewrite49.0ms (1.7%)

simplify45.0ms (1.5%)

eval8.0ms (0.3%)

prune8.0ms (0.3%)

localize147.0ms (5%)

series5.0ms (0.2%)

rewrite133.0ms (4.5%)

simplify197.0ms (6.7%)

eval632.0ms (21.5%)

prune75.0ms (2.6%)

localize70.0ms (2.4%)

series2.0ms (0.1%)

rewrite129.0ms (4.4%)

simplify101.0ms (3.4%)

eval142.0ms (4.8%)

prune39.0ms (1.3%)

localize94.0ms (3.2%)

series1.0ms (0%)

rewrite56.0ms (1.9%)

simplify52.0ms (1.8%)

eval48.0ms (1.6%)

prune21.0ms (0.7%)

regimes15.0ms (0.5%)

regimes10.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch30.0ms (1%)

simplify6.0ms (0.2%)

soundness14.0ms (0.5%)

end0.0ms (0%)

preprocess34.0ms (1.2%)

Profiling