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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.2s (41.4%)

Results

1.1s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

Operation ival-div, time spent: 133.0ms, 65.0% of total-time

Operation ival-add, time spent: 56.0ms, 27.0% of total-time

Operation const, time spent: 17.0ms, 8.0% of total-time

Bogosity

preprocess118.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

58×	`fma-neg`
24×	`fma-define`
18×	`distribute-lft-neg-in`
16×	`associate--r+`
16×	`sub-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 x (/.f64 1 3))`
-	-	`3`
-	-	`(/.f64 1 3)`
-	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 32 to 27 computations (15.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

Operation ival-div, time spent: 9.0ms, 66.0% of total-time

Operation ival-add, time spent: 3.0ms, 22.0% of total-time

Operation const, time spent: 2.0ms, 15.0% of total-time

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)

Compiler

Compiled 4 to 3 computations (25% saved)

localize21.0ms (0.7%)

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)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

Operation ival-add, time spent: 2.0ms, 84.0% of total-time

Operation const, time spent: 1.0ms, 42.0% of total-time

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (+.f64 x 1/3)>

Outputs
#<alt 1/3>
#<alt (+.f64 1/3 x)>
#<alt (+.f64 1/3 x)>
#<alt (+.f64 1/3 x)>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>

Calls

3 calls:

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

rewrite188.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`frac-times`
388×	`unpow-prod-down`
283×	`log1p-expm1-u`
283×	`expm1-log1p-u`
269×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	60	10
2	750	10

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

Inputs
(+.f64 x 1/3)

Outputs
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (pow.f64 (+.f64 x 1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (pow.f64 (+.f64 x 1/3) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 5/2)) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (pow.f64 (+.f64 x 1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 5)) (pow.f64 (+.f64 x 1/3) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 x 3) 1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (.f64 (+.f64 x -1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 x 1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (+.f64 x -1/3)) (.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) 2))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x -1/3)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (-.f64 (pow.f64 x 3) 1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27))) (.f64 (sqrt.f64 (+.f64 x -1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) 1/19683) 1) (.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 (pow.f64 x 3) 1/27))) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x -1/3))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.f64 1/3 x)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x 1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)) -1)
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(fabs.f64 (+.f64 x 1/3))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(fma.f64 x 1 1/3)
(fma.f64 1 x 1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)

simplify89.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

920×	`div-sub`
890×	`times-frac`
846×	`distribute-lft-neg-in`
774×	`fma-neg`
670×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	2891
1	536	2569
2	1835	2481
3	5281	2481

Stop Event

1×	node limit

Counts

84 → 112

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
x
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(*.f64 (+.f64 x 1/3) 1)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(*.f64 1 (+.f64 x 1/3))
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(*.f64 (pow.f64 (+.f64 x 1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (pow.f64 (+.f64 x 1/3) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 5/2)) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (pow.f64 (+.f64 x 1/3) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 5)) (pow.f64 (+.f64 x 1/3) 1/6))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3))))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3)))))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 x 3) 1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (.f64 (+.f64 x -1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 x 1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (+.f64 x -1/3)) (.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) 2))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x -1/3)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (-.f64 (pow.f64 x 3) 1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27))) (.f64 (sqrt.f64 (+.f64 x -1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))) (sqrt.f64 (+.f64 x -1/3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) 1/19683) 1) (.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 (pow.f64 x 3) 1/27))) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x -1/3))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.f64 1/3 x)))
(pow.f64 (+.f64 x 1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 1/3) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x 1/3)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)) -1)
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(fabs.f64 (+.f64 x 1/3))
(log.f64 (exp.f64 (+.f64 x 1/3)))
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(exp.f64 (log.f64 (+.f64 x 1/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(fma.f64 x 1 1/3)
(fma.f64 1 x 1/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)

Outputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.f64 1/3 x)
x
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
x
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(+.f64 1/3 x)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(*.f64 (+.f64 x 1/3) (log.f64 (E.f64)))
(+.f64 1/3 x)
(*.f64 1 (+.f64 x 1/3))
(+.f64 1/3 x)
(*.f64 (cbrt.f64 (+.f64 x 1/3)) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2))
(+.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 1/3 x) -1/9))
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(*.f64 (pow.f64 (+.f64 x 1/3) 1/4) (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)))
(*.f64 (pow.f64 (+.f64 1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 1/3 x) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 x 1/3))
(+.f64 1/3 x)
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1/3 x) (cbrt.f64 (+.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1/3) 5/2) 1/3) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/3 x) 5/2)) (pow.f64 (+.f64 1/3 x) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x 1/3) (cbrt.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x 1/3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1/3 x) (cbrt.f64 (+.f64 1/3 x))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 8)) (cbrt.f64 (cbrt.f64 (+.f64 1/3 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 5/2)) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/3 x) 5/2)) (pow.f64 (+.f64 1/3 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1/3) 3/2)) (pow.f64 (+.f64 x 1/3) 1/4))
(*.f64 (pow.f64 (+.f64 1/3 x) 1/4) (sqrt.f64 (pow.f64 (+.f64 1/3 x) 3/2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 5)) (pow.f64 (+.f64 x 1/3) 1/6))
(*.f64 (pow.f64 (+.f64 1/3 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 5)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 1/3 x) -1/9))
(/.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 1/3 x) -1/9))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 1/3 x) -1/9))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 1/3 x) -1/9))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27)) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 x 2) (*.f64 x 1/3)))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 1/3 x) -1/9))
(/.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (-.f64 1/9 (pow.f64 x 2)) (-.f64 1/3 x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 1/3 x) -1/9))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x 1/3) 2) (+.f64 (pow.f64 x 3) 1/27))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (pow.f64 (+.f64 1/3 x) 2))) (cbrt.f64 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))))
(/.f64 (cbrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (pow.f64 (+.f64 1/3 x) 2))) (cbrt.f64 (+.f64 1/9 (.f64 x (-.f64 x 1/3)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 1/27) (pow.f64 (+.f64 1/3 x) 2))) (cbrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/3) 2) (fma.f64 x x -1/9))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 x x -1/9) (pow.f64 (+.f64 1/3 x) 2))) (cbrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 x -1/3))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x -1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x -1/3) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (fma.f64 x (-.f64 1/3 x) -1/9) (-.f64 1/3 x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x -1/9) (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (.f64 (+.f64 x -1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x -1/3) (-.f64 (fma.f64 x x 1/9) (*.f64 1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x -1/3) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (+.f64 x -1/3) (fma.f64 x (+.f64 x -1/3) 1/9))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x x -1/9))) (sqrt.f64 (.f64 (fma.f64 x (-.f64 1/3 x) -1/9) (-.f64 1/3 x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x 1/3) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (+.f64 1/9 (.f64 x (-.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x 1/3) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 x 1/3))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 x 1/3)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (.f64 1/3 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (+.f64 1/9 (.f64 x (-.f64 x 1/3)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (+.f64 (pow.f64 x 3) 1/27))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1/3 x) (fma.f64 x x -1/9))) (sqrt.f64 (+.f64 x -1/3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (+.f64 x -1/3)) (.f64 (+.f64 x -1/3) 1/9)) (pow.f64 (+.f64 x -1/3) 2))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (+.f64 (pow.f64 x 4) (+.f64 1/81 (*.f64 (pow.f64 x 2) 1/9))) (+.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) (+.f64 1/81 (.f64 (pow.f64 x 2) 1/9)))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (+.f64 x -1/3) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 2) 1/9 1/81))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) 1/729) 1) (.f64 (-.f64 (pow.f64 x 3) 1/27) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x)) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (.f64 (+.f64 1/9 (.f64 x (-.f64 x 1/3))) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 (pow.f64 x 6) -1/729) (*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (+.f64 (pow.f64 x 3) -1/27)))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) 1/81) 1) (.f64 (fma.f64 x x 1/9) (+.f64 x -1/3)))
(/.f64 (+.f64 (pow.f64 x 4) -1/81) (*.f64 (+.f64 x -1/3) (fma.f64 x x 1/9)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27))) (.f64 (sqrt.f64 (+.f64 x -1/3)) (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3))))))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x)))) (sqrt.f64 (+.f64 x -1/3)))))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (.f64 (sqrt.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3)))) (sqrt.f64 (+.f64 x -1/3)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (+.f64 x -1/3)))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (fma.f64 x x -1/9))) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 x 1/3)))) (sqrt.f64 (+.f64 x -1/3))))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (.f64 (hypot.f64 x (sqrt.f64 (-.f64 1/9 (*.f64 1/3 x)))) (sqrt.f64 (+.f64 x -1/3)))))
(.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (.f64 (sqrt.f64 (+.f64 1/9 (*.f64 x (-.f64 x 1/3)))) (sqrt.f64 (+.f64 x -1/3)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1/27)) (sqrt.f64 (+.f64 x -1/3)))) (sqrt.f64 (fma.f64 x (+.f64 x -1/3) 1/9)))
(/.f64 (.f64 (+.f64 (pow.f64 x 9) 1/19683) 1) (.f64 (+.f64 (pow.f64 x 6) (-.f64 1/729 (.f64 (pow.f64 x 3) 1/27))) (-.f64 (fma.f64 x x 1/9) (.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 9) 1/19683) (.f64 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x)) (+.f64 (pow.f64 x 6) (-.f64 1/729 (*.f64 (pow.f64 x 3) 1/27)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 9) 1/19683) (+.f64 1/9 (.f64 x (-.f64 x 1/3)))) (+.f64 (+.f64 (pow.f64 x 6) 1/729) (.f64 (pow.f64 x 3) -1/27)))
(/.f64 (+.f64 (pow.f64 x 9) 1/19683) (*.f64 (fma.f64 x (+.f64 x -1/3) 1/9) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) -1/27 1/729))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x 3) 1/27))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 1/3 x) -1/9))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x -1/9))) (neg.f64 (neg.f64 (+.f64 x -1/3))))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 x 2))) (neg.f64 (-.f64 1/3 x)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (+.f64 x 1/3) 1)
(+.f64 1/3 x)
(pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 2) 1/2)
(+.f64 1/3 x)
(pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)
(+.f64 1/3 x)
(pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)
(+.f64 1/3 x)
(pow.f64 (E.f64) (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) (+.f64 (pow.f64 x 3) 1/27)) -1)
(.f64 (+.f64 (pow.f64 x 3) 1/27) (/.f64 1 (-.f64 (fma.f64 x x 1/9) (.f64 1/3 x))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (-.f64 x 1/3))))
(/.f64 (+.f64 (pow.f64 x 3) 1/27) (fma.f64 x (+.f64 x -1/3) 1/9))
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (fma.f64 x (-.f64 1/3 x) -1/9))
(pow.f64 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)) -1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))
(/.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 1/3))) 2)) (cbrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1/3 x))) 2)) (cbrt.f64 (log.f64 (+.f64 1/3 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x 1/3)))) (sqrt.f64 (log.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 1/3 x)))) (sqrt.f64 (log.f64 (+.f64 1/3 x))))
(sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))
(+.f64 1/3 x)
(fabs.f64 (+.f64 x 1/3))
(+.f64 1/3 x)
(log.f64 (exp.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))
(+.f64 1/3 x)
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(log1p.f64 (expm1.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (log.f64 (+.f64 x 1/3)))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x 1/3))) 3))
(+.f64 1/3 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x 1/3))) 1/3))
(+.f64 1/3 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x 1/3))) 2))
(+.f64 1/3 x)
(fma.f64 x 1 1/3)
(+.f64 1/3 x)
(fma.f64 1 x 1/3)
(+.f64 1/3 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(+.f64 1/3 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(+.f64 1/3 x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(+.f64 1/3 x)

eval36.0ms (1.3%)

Compiler: Compiled 1558 to 1211 computations (22.3% saved)

prune262.0ms (9.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	4	113

Accuracy

100.0%

Counts

113 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
▶	99.8%	(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
▶	53.9%	x
▶	46.4%	1/3

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize177.0ms (6.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
✓	99.4%	(*.f64 1/3 (/.f64 1 x))

Compiler

Compiled 31 to 24 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

Operation ival-div, time spent: 126.0ms, 88.0% of total-time

Operation ival-mult, time spent: 12.0ms, 8.0% of total-time

Operation ival-add, time spent: 3.0ms, 2.0% of total-time

Operation const, time spent: 2.0ms, 1.0% of total-time

series4.0ms (0.1%)

Counts

2 → 18

Calls

Call 1

Inputs
#<alt (*.f64 1/3 (/.f64 1 x))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>

Outputs
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt (/.f64 1/3 x)>
#<alt 1/3>
#<alt (+.f64 1/3 x)>
#<alt (+.f64 1/3 x)>
#<alt (+.f64 1/3 x)>
#<alt x>
#<alt x>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ 1 (* 1/3 (/ 1 x))))
0.0ms	x	@	inf	(* 1/3 (/ 1 x))
0.0ms	x	@	0	(* x (+ 1 (* 1/3 (/ 1 x))))
0.0ms	x	@	-inf	(* x (+ 1 (* 1/3 (/ 1 x))))
0.0ms	x	@	0	(* 1/3 (/ 1 x))

rewrite84.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`unpow-prod-down`
842×	`prod-diff`
632×	`log-prod`
614×	`log1p-expm1-u`
614×	`expm1-log1p-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	136	35
2	1804	34

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(*.f64 1/3 (/.f64 1 x))
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))

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

simplify113.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1588×	`fma-neg`
1132×	`prod-exp`
886×	`associate-l`
872×	`associate-r`
536×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	1833
1	478	1659
2	1271	1620
3	5116	1616

Stop Event

1×	node limit

Counts

117 → 125

Calls

Call 1

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

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

eval44.0ms (1.5%)

Compiler: Compiled 1578 to 1120 computations (29% saved)

prune17.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	124	5	129

Accuracy

100.0%

Counts

129 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
▶	99.9%	(*.f64 x (+.f64 1 (/.f64 1/3 x)))
✓	99.8%	(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
✓	53.9%	x
✓	46.4%	1/3

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize113.0ms (4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 x (+.f64 1 (/.f64 1/3 x)))
✓	99.4%	(/.f64 1/3 x)

Compiler

Compiled 20 to 15 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

Operation ival-div, time spent: 7.0ms, 54.0% of total-time

Operation ival-add, time spent: 3.0ms, 23.0% of total-time

Operation ival-mult, time spent: 2.0ms, 15.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

series2.0ms (0.1%)

Counts

2 → 12

Calls

Call 1

Inputs
#<alt (/.f64 1/3 x)>
#<alt (*.f64 x (+.f64 1 (/.f64 1/3 x)))>

Outputs
#<alt 1/3>
#<alt (+.f64 1/3 x)>
#<alt (+.f64 1/3 x)>
#<alt (+.f64 1/3 x)>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>

Calls

6 calls:

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

rewrite82.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`unpow-prod-down`
553×	`log1p-expm1-u`
553×	`expm1-log1p-u`
550×	`prod-diff`
526×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	115	35
2	1575	20

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(/.f64 1/3 x)
(*.f64 x (+.f64 1 (/.f64 1/3 x)))

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

simplify89.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-define`
674×	`fma-neg`
550×	`distribute-lft-neg-in`
534×	`distribute-lft-in`
524×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	1828
1	497	1819
2	1275	1775
3	4704	1775

Stop Event

1×	node limit

Counts

112 → 135

Calls

Call 1

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

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

eval51.0ms (1.8%)

Compiler: Compiled 1593 to 1237 computations (22.3% saved)

prune20.0ms (0.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	135	5	140

Accuracy

100.0%

Counts

140 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x 1/3)
✓	99.9%	(*.f64 x (+.f64 1 (/.f64 1/3 x)))
✓	99.8%	(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
✓	53.9%	x
✓	46.4%	1/3

Compiler

Compiled 53 to 40 computations (24.5% saved)

regimes9.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(*.f64 x (+.f64 1 (/.f64 1/3 x)))
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))

Outputs
(+.f64 x 1/3)

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
1/3
x

Outputs
x
1/3
x

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
96.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1/3

Outputs
1/3

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
46.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch75.0ms (2.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	0.10345688011744117	181846.35878017108
12.0ms	-0.9801705651904438	-0.01129349946108745

Results

70.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 106 to 88 computations (17% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-div, time spent: 2.0ms, 44.0% of total-time

Operation ival-add, time spent: 2.0ms, 44.0% of total-time

Operation const, time spent: 1.0ms, 22.0% of total-time

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	22	44

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness19.0ms (0.7%)

Rules

58×	`fma-neg`
24×	`fma-define`
18×	`distribute-lft-neg-in`
16×	`associate--r+`
16×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 9 to 7 computations (22.2% saved)

end0.0ms (0%)

preprocess30.0ms (1.1%)

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

analyze0.0ms (0%)

sample1.2s (41.4%)

preprocess118.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize21.0ms (0.7%)

series1.0ms (0%)

rewrite188.0ms (6.6%)

simplify89.0ms (3.1%)

eval36.0ms (1.3%)

prune262.0ms (9.3%)

localize177.0ms (6.3%)

series4.0ms (0.1%)

rewrite84.0ms (3%)

simplify113.0ms (4%)

eval44.0ms (1.5%)

prune17.0ms (0.6%)

localize113.0ms (4%)

series2.0ms (0.1%)

rewrite82.0ms (2.9%)

simplify89.0ms (3.1%)

eval51.0ms (1.8%)

prune20.0ms (0.7%)

regimes9.0ms (0.3%)

regimes8.0ms (0.3%)

regimes2.0ms (0.1%)

bsearch75.0ms (2.6%)

simplify3.0ms (0.1%)

soundness19.0ms (0.7%)

end0.0ms (0%)

preprocess30.0ms (1.1%)

Profiling