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)

sample676.0ms (27.2%)

Results

666.0ms

8256×

body

256

valid

Bogosity

preprocess42.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	20	23
2	30	21
3	41	21
4	49	21
5	60	21
6	74	21
7	78	21

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize15.0ms (0.6%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

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)

rewrite61.0ms (2.4%)

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)

simplify47.0ms (1.9%)

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

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Accuracy

100.0%

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	66.5%	(/.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)
	51.9%	x
	49.9%	-1/3
▶	80.3%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	66.5%	(/.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)
	51.9%	x
	49.9%	-1/3

Compiler

Compiled 68 to 50 computations (26.5% saved)

localize81.0ms (3.3%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 -1/3 x)
✓	100.0%	(-.f64 1/9 (*.f64 x x))
✓	80.3%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	100.0%	(-.f64 (.f64 x x) (.f64 x -1/3))
✓	100.0%	(+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3)))
✓	99.5%	(*.f64 x -1/3)
✓	67.3%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))

Compiler

Compiled 75 to 44 computations (41.3% saved)

series6.0ms (0.2%)

Counts

7 → 84

Calls

21 calls:

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

rewrite183.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`fma-def`
674×	`expm1-udef`
666×	`log1p-udef`
560×	`fma-neg`
420×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	133
1	428	69
2	6040	69

Stop Event

1×	node limit

Counts

7 → 470

Calls

Call 1

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

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

simplify281.0ms (11.3%)

Algorithm

1×	egg-herbie

Rules

1456×	`fma-neg`
732×	`log-prod`
620×	`associate-r`
572×	`times-frac`
554×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	722	14260
1	1684	12358
2	6588	12150

Stop Event

1×	node limit

Counts

554 → 528

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

eval404.0ms (16.2%)

Compiler: Compiled 10706 to 7717 computations (27.9% saved)

prune118.0ms (4.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	526	2	528
Fresh	0	2	2
Picked	1	1	2
Done	0	1	1
Total	527	6	533

Accuracy

100.0%

Counts

533 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.8%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	80.3%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	50.8%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
✓	100.0%	(+.f64 x -1/3)
	51.9%	x
	49.9%	-1/3
▶	62.8%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	80.3%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
▶	50.8%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
✓	100.0%	(+.f64 x -1/3)
	51.9%	x
	49.9%	-1/3

Compiler

Compiled 106 to 70 computations (34% saved)

localize93.0ms (3.7%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
	100.0%	(-.f64 -1/3 x)
✓	99.8%	(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
✓	80.3%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	63.2%	(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x))))
✓	100.0%	(+.f64 1/9 (*.f64 x 1/3))
✓	99.5%	(*.f64 x 1/3)
✓	88.1%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))

Compiler

Compiled 113 to 52 computations (54% saved)

series6.0ms (0.2%)

Counts

6 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
1.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
0.0ms	x	@	inf	(/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x))))
0.0ms	x	@	inf	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
0.0ms	x	@	0	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))

rewrite66.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`add-sqr-sqrt`
518×	`pow1`
516×	`*-un-lft-identity`
508×	`add-exp-log`
508×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	170
1	547	76

Stop Event

1×	node limit

Counts

6 → 193

Calls

Call 1

Inputs
(/.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 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x))))
(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))

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

simplify97.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

714×	`log-prod`
640×	`times-frac`
450×	`associate-/r*`
436×	`div-sub`
434×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	5337
1	1070	5021
2	4998	4931

Stop Event

1×	node limit

Counts

265 → 299

Calls

Call 1

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

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

eval135.0ms (5.4%)

Compiler: Compiled 6379 to 4222 computations (33.8% saved)

prune50.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	355	0	355
Fresh	0	2	2
Picked	0	2	2
Done	0	2	2
Total	355	6	361

Accuracy

100.0%

Counts

361 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.8%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	80.3%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	50.8%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
✓	100.0%	(+.f64 x -1/3)
	51.9%	x
	49.9%	-1/3
✓	62.8%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	80.3%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	50.8%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
✓	100.0%	(+.f64 x -1/3)
	51.9%	x
	49.9%	-1/3

Compiler

Compiled 106 to 70 computations (34% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.8%	(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
✓	80.3%	(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
✓	50.8%	(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
✓	100.0%	(+.f64 x -1/3)
	51.9%	x
	49.9%	-1/3

Compiler

Compiled 121 to 79 computations (34.7% saved)

regimes12.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

Inputs
-1/3
x
(+.f64 x -1/3)
(-.f64 x (/.f64 1 3))
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 -1/3 x))
(/.f64 (/.f64 (-.f64 1/81 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1/9 (.f64 x (neg.f64 x)))) (-.f64 -1/3 x))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (*.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 1/9 (-.f64 (.f64 x x) (.f64 x -1/3))))

Outputs
(+.f64 x -1/3)

Calls

2 calls:

5.0ms	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 76 to 50 computations (34.2% saved)

regimes9.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/3
x

Outputs
x
-1/3
x

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

regimes5.0ms (0.2%)

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:

4.0ms

Results

Accuracy	Segments	Branch
49.9%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch26.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.353035373750403e-6	1.2824123093821571
13.0ms	-2834638.0688879294	-0.006136427260929972

Results

22.0ms

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness16.0ms (0.7%)

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	25
1	20	23
2	30	21
3	41	21
4	49	21
5	60	21
6	74	21
7	78	21

Stop Event

1×

saturated

Compiler

Compiled 19 to 15 computations (21.1% saved)

end0.0ms (0%)

preprocess29.0ms (1.2%)

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

analyze0.0ms (0%)

sample676.0ms (27.2%)

preprocess42.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.6%)

series0.0ms (0%)

rewrite61.0ms (2.4%)

simplify47.0ms (1.9%)

eval8.0ms (0.3%)

prune8.0ms (0.3%)

localize81.0ms (3.3%)

series6.0ms (0.2%)

rewrite183.0ms (7.4%)

simplify281.0ms (11.3%)

eval404.0ms (16.2%)

prune118.0ms (4.8%)

localize93.0ms (3.7%)

series6.0ms (0.2%)

rewrite66.0ms (2.6%)

simplify97.0ms (3.9%)

eval135.0ms (5.4%)

prune50.0ms (2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes12.0ms (0.5%)

regimes9.0ms (0.4%)

regimes5.0ms (0.2%)

bsearch26.0ms (1%)

simplify6.0ms (0.2%)

soundness16.0ms (0.7%)

end0.0ms (0%)

preprocess29.0ms (1.2%)

Profiling