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

sample849.0ms (36.5%)

Results

785.0ms	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

Operation ival-div, time spent: 141.0ms, 66.0% of total-time

Operation ival-add, time spent: 55.0ms, 26.0% of total-time

Operation const, time spent: 18.0ms, 8.0% of total-time

Bogosity

preprocess113.0ms (4.8%)

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: 16.0ms

Operation ival-div, time spent: 10.0ms, 64.0% of total-time

Operation ival-add, time spent: 3.0ms, 19.0% of total-time

Operation const, time spent: 2.0ms, 13.0% 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)

localize22.0ms (0.9%)

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: 5.0ms

Operation ival-add, time spent: 4.0ms, 79.0% of total-time

Operation const, time spent: 1.0ms, 20.0% of total-time

series2.0ms (0.1%)

Counts

1 → 18

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 (+.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 (.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))))>
#<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
1.0ms	x	@	inf	(+ x 1/3)
0.0ms	x	@	-inf	(+ x 1/3)
0.0ms	x	@	0	(+ x 1/3)

rewrite212.0ms (9.1%)

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 (3.8%)

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	2951
1	536	2629
2	1835	2541
3	5281	2541

Stop Event

1×	node limit

Counts

90 → 112

Calls

Call 1

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

eval37.0ms (1.6%)

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

prune15.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Accuracy

100.0%

Counts

113 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	100.0%	(+.f64 x 1/3)
▶	99.8%	(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
▶	54.6%	x
▶	46.7%	1/3

Compiler

Compiled 26 to 21 computations (19.2% saved)

localize137.0ms (5.9%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (+.f64 x 1/3))
	100.0%	(+.f64 x 1/3)
✓	99.3%	(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
✓	99.8%	(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
✓	99.4%	(*.f64 1/3 (/.f64 1 x))

Compiler

Compiled 49 to 38 computations (22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

Operation ival-div, time spent: 10.0ms, 33.0% of total-time

Operation ival-add, time spent: 9.0ms, 30.0% of total-time

Operation ival-mult, time spent: 7.0ms, 23.0% of total-time

Operation const, time spent: 3.0ms, 10.0% of total-time

Operation ival-sub, time spent: 1.0ms, 3.0% of total-time

series12.0ms (0.5%)

Counts

4 → 62

Calls

Call 1

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

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 (/.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 (+.f64 1/3 x)>
#<alt (+.f64 1/3 x)>
#<alt x>
#<alt x>
#<alt 1/3>
#<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 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 (.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))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt 4/3>
#<alt (+.f64 4/3 x)>
#<alt (+.f64 4/3 x)>
#<alt (+.f64 4/3 x)>
#<alt (+.f64 4/3 x)>
#<alt (+.f64 4/3 x)>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* x (+ 1 (* 1/3 (/ 1 x))))
2.0ms	x	@	0	(* x (+ 1 (* 1/3 (/ 1 x))))
1.0ms	x	@	0	(* 1/3 (/ 1 x))
1.0ms	x	@	inf	(* 1/3 (/ 1 x))
1.0ms	x	@	inf	(* x (+ 1 (* 1/3 (/ 1 x))))

rewrite132.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`prod-diff`
1167×	`log1p-expm1-u`
498×	`expm1-log1p-u`
136×	`associate-r`
100×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	231	55
2	3477	55

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

simplify108.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1296×	`associate-+l+`
986×	`times-frac`
662×	`cancel-sign-sub-inv`
638×	`associate--r+`
624×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	4367
1	732	4144
2	2587	3491

Stop Event

1×	node limit

Counts

201 → 173

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

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

eval105.0ms (4.5%)

Compiler: Compiled 4066 to 3299 computations (18.9% saved)

prune37.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	283	2	285
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	285	5	290

Accuracy

100.0%

Counts

290 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(-.f64 (+.f64 x 4/3) 1)
✓	100.0%	(+.f64 x 1/3)
▶	100.0%	(*.f64 x (+.f64 1 (/.f64 1/3 x)))
✓	54.6%	x
✓	46.7%	1/3

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize57.0ms (2.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x 4/3)
✓	99.3%	(-.f64 (+.f64 x 4/3) 1)
✓	99.8%	(*.f64 x (+.f64 1 (/.f64 1/3 x)))
✓	99.5%	(/.f64 1/3 x)

Compiler

Compiled 31 to 23 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

Operation ival-div, time spent: 8.0ms, 43.0% of total-time

Operation ival-add, time spent: 5.0ms, 27.0% of total-time

Operation ival-mult, time spent: 2.0ms, 11.0% of total-time

Operation const, time spent: 2.0ms, 11.0% of total-time

Operation ival-sub, time spent: 1.0ms, 5.0% of total-time

series5.0ms (0.2%)

Counts

4 → 54

Calls

Call 1

Inputs
#<alt (/.f64 1/3 x)>
#<alt (*.f64 x (+.f64 1 (/.f64 1/3 x)))>
#<alt (-.f64 (+.f64 x 4/3) 1)>
#<alt (+.f64 x 4/3)>

Outputs
#<alt 1/3>
#<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 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 (.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))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt 1/3>
#<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 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 (.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))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))>
#<alt 4/3>
#<alt (+.f64 4/3 x)>
#<alt (+.f64 4/3 x)>
#<alt (+.f64 4/3 x)>
#<alt (+.f64 4/3 x)>
#<alt (+.f64 4/3 x)>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ x 4/3)
0.0ms	x	@	-inf	(- (+ x 4/3) 1)
0.0ms	x	@	inf	(+ x 4/3)
0.0ms	x	@	inf	(- (+ x 4/3) 1)
0.0ms	x	@	-inf	(* x (+ 1 (/ 1/3 x)))

rewrite117.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`log1p-expm1-u`
951×	`expm1-log1p-u`
880×	`prod-diff`
780×	`fma-define`
420×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	182	55
2	2635	54

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

Inputs
(/.f64 1/3 x)
(*.f64 x (+.f64 1 (/.f64 1/3 x)))
(-.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)

Outputs
(-.f64 (+.f64 (/.f64 1/3 x) 1) 1)
(*.f64 1/3 (/.f64 1 x))
(*.f64 (/.f64 1/3 x) 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)
(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 3) -1)
(neg.f64 (/.f64 -1/3 x))
(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)))
(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 (+.f64 1 (/.f64 1/27 (pow.f64 x 3))) (/.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 (*.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 (+.f64 1 (/.f64 1/27 (pow.f64 x 3)))) (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 (+.f64 1 (/.f64 1/27 (pow.f64 x 3))) 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))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 1/3 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 1/3 x) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/3 x) 1) 3) (pow.f64 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))
(fma.f64 1/3 (*.f64 (/.f64 1 x) x) x)
(fma.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 (/.f64 1/3 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 (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) 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) (/.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) (*.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) 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) (/.f64 1/3 x)) x)
(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 x 1/3) (/.f64 1 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 (sqrt.f64 x) (sqrt.f64 (/.f64 1/3 x))) (.f64 (sqrt.f64 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)
(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)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 4/3 (+.f64 x -1))
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(*.f64 1 (+.f64 1/3 x))
(*.f64 (+.f64 1/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2) (cbrt.f64 (+.f64 1/3 x)))
(*.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (+.f64 1/3 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 x 7/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 7/3) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 x 7/3)))
(/.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))
(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 (log.f64 (+.f64 x 4/3)))
(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))
(fma.f64 x 1 1/3)
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (+.f64 x 4/3) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 1/3)
(fma.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3))) -1)
(fma.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)) -1)
(-.f64 (+.f64 x 7/3) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(*.f64 1 (+.f64 x 4/3))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(.f64 (sqrt.f64 (+.f64 x 4/3)) (.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (-.f64 (fma.f64 x x 16/9) (.f64 x 4/3))))
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)) (+.f64 (pow.f64 x 3) 64/27)))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (-.f64 (pow.f64 x 2) (*.f64 x 4/3))))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 64/27)) (neg.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3))))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(/.f64 (-.f64 16/9 (pow.f64 x 2)) (-.f64 4/3 x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 64/27) 1) (-.f64 (fma.f64 x x 16/9) (.f64 x 4/3)))
(/.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(fma.f64 x 1 4/3)
(fma.f64 1 x 4/3)
(fma.f64 1 (+.f64 x 7/3) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 4/3)
(fma.f64 (+.f64 x 7/3) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x 7/3)) (cbrt.f64 (+.f64 x 7/3))) (cbrt.f64 (+.f64 x 7/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 7/3)) (sqrt.f64 (+.f64 x 7/3)) -1)

simplify77.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1524×	`distribute-lft-in`
1476×	`distribute-rgt-in`
808×	`fma-define`
542×	`times-frac`
490×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	4045
1	748	3564
2	2423	3374

Stop Event

1×	node limit

Counts

231 → 214

Calls

Call 1

Inputs
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.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))))
(.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 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
1/3
(+.f64 1/3 x)
(+.f64 1/3 x)
(+.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))))
(.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 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
4/3
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
(+.f64 4/3 x)
x
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
x
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/3 x) 1) 1)
(*.f64 1/3 (/.f64 1 x))
(*.f64 (/.f64 1/3 x) 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)
(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 3) -1)
(neg.f64 (/.f64 -1/3 x))
(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)))
(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 (+.f64 1 (/.f64 1/27 (pow.f64 x 3))) (/.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 (*.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 (+.f64 1 (/.f64 1/27 (pow.f64 x 3)))) (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 (+.f64 1 (/.f64 1/27 (pow.f64 x 3))) 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))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 1/3 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 1/3 x) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/3 x) 1) 3) (pow.f64 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))
(fma.f64 1/3 (*.f64 (/.f64 1 x) x) x)
(fma.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 (/.f64 1/3 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 (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) 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) (/.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) (*.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) 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) (/.f64 1/3 x)) x)
(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 x 1/3) (/.f64 1 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 (sqrt.f64 x) (sqrt.f64 (/.f64 1/3 x))) (.f64 (sqrt.f64 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)
(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)
(+.f64 1/3 x)
(+.f64 x 1/3)
(+.f64 4/3 (+.f64 x -1))
(+.f64 (+.f64 x 4/3) -1)
(+.f64 -1 (+.f64 x 4/3))
(*.f64 1 (+.f64 1/3 x))
(*.f64 (+.f64 1/3 x) 1)
(*.f64 (cbrt.f64 (+.f64 1/3 x)) (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 x)) 2) (cbrt.f64 (+.f64 1/3 x)))
(*.f64 (sqrt.f64 (+.f64 1/3 x)) (sqrt.f64 (+.f64 1/3 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 x 7/3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 7/3) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 x 7/3)))
(/.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))
(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 (log.f64 (+.f64 x 4/3)))
(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))
(fma.f64 x 1 1/3)
(fma.f64 1 x 1/3)
(fma.f64 1 (+.f64 x 4/3) -1)
(fma.f64 (+.f64 x 4/3) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 1/3)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 1/3)
(fma.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3))) -1)
(fma.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)) -1)
(-.f64 (+.f64 x 7/3) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(*.f64 1 (+.f64 x 4/3))
(*.f64 (+.f64 x 4/3) 1)
(*.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (.f64 (cbrt.f64 (+.f64 x 4/3)) 1))
(*.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))
(.f64 (sqrt.f64 (+.f64 x 4/3)) (.f64 (sqrt.f64 (+.f64 x 4/3)) 1))
(.f64 (+.f64 (pow.f64 x 3) 64/27) (/.f64 1 (-.f64 (fma.f64 x x 16/9) (.f64 x 4/3))))
(*.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)) (+.f64 (pow.f64 x 3) 64/27)))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (-.f64 (pow.f64 x 2) (*.f64 x 4/3))))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 64/27)) (neg.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3))))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(/.f64 (-.f64 16/9 (pow.f64 x 2)) (-.f64 4/3 x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 64/27) 1) (-.f64 (fma.f64 x x 16/9) (.f64 x 4/3)))
(/.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))
(pow.f64 (+.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(log.f64 (exp.f64 (+.f64 x 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(exp.f64 (log.f64 (+.f64 x 4/3)))
(fma.f64 x 1 4/3)
(fma.f64 1 x 4/3)
(fma.f64 1 (+.f64 x 7/3) -1)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 4/3)
(fma.f64 (+.f64 x 7/3) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x 7/3)) (cbrt.f64 (+.f64 x 7/3))) (cbrt.f64 (+.f64 x 7/3)) -1)
(fma.f64 (sqrt.f64 (+.f64 x 7/3)) (sqrt.f64 (+.f64 x 7/3)) -1)

Outputs
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)
x
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
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)
x
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
x
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))
(+.f64 1/3 x)
(+.f64 x 1/3)
4/3
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
(+.f64 4/3 x)
(+.f64 x 4/3)
x
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(+.f64 x 4/3)
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(+.f64 x 4/3)
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(+.f64 x 4/3)
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(+.f64 x 4/3)
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(+.f64 x 4/3)
x
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(+.f64 x 4/3)
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(+.f64 x 4/3)
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(+.f64 x 4/3)
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(+.f64 x 4/3)
(.f64 x (+.f64 1 (.f64 4/3 (/.f64 1 x))))
(+.f64 x 4/3)
(-.f64 (+.f64 (/.f64 1/3 x) 1) 1)
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 1/3 (/.f64 1 x))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (/.f64 1/3 x) 1)
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 1 (/.f64 1/3 x))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 -1/3 (/.f64 1 (neg.f64 x)))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(*.f64 (/.f64 1 x) 1/3)
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (/.f64 1/3 x) 1)
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (/.f64 1/27 (pow.f64 x 3)) 1/3)
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(pow.f64 (*.f64 x 3) -1)
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(neg.f64 (/.f64 -1/3 x))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(sqrt.f64 (/.f64 1/9 (pow.f64 x 2)))
(fabs.f64 (/.f64 -1/3 x))
(log.f64 (exp.f64 (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 x))))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(cbrt.f64 (/.f64 1/27 (pow.f64 x 3)))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(expm1.f64 (log1p.f64 (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(log1p.f64 (expm1.f64 (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(exp.f64 (log.f64 (/.f64 1/3 x)))
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(fma.f64 1 (+.f64 (/.f64 1/3 x) 1) -1)
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(fma.f64 (+.f64 (/.f64 1/3 x) 1) 1 -1)
(+.f64 (/.f64 1/3 x) 0)
(/.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 (/.f64 1/3 x) 0)
(/.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 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1/3 x) 1)) (sqrt.f64 (+.f64 (/.f64 1/3 x) 1)) -1)
(+.f64 (/.f64 1/3 x) 0)
(/.f64 1/3 x)
(fma.f64 (+.f64 1 (/.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/3 x) (-.f64 (/.f64 1/3 x) 1) 1)) -1)
(fma.f64 (+.f64 1 (/.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/3 x) (+.f64 (/.f64 1/3 x) -1) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 x 3))) (+.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 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 (*.f64 x (/.f64 1/3 x)) x)
(+.f64 1/3 x)
(+.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 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 (-.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 (+.f64 1 (/.f64 1/27 (pow.f64 x 3)))) (fma.f64 (/.f64 1/3 x) (-.f64 (/.f64 1/3 x) 1) 1))
(*.f64 x (/.f64 (+.f64 1 (/.f64 1/27 (pow.f64 x 3))) (fma.f64 (/.f64 1/3 x) (+.f64 (/.f64 1/3 x) -1) 1)))
(/.f64 (fma.f64 x (/.f64 1/27 (pow.f64 x 3)) x) (+.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 (+.f64 1 (/.f64 -1/9 (pow.f64 x 2))) (/.f64 x (+.f64 1 (/.f64 -1/3 x))))
(/.f64 (+.f64 x (/.f64 -1/9 x)) (+.f64 1 (/.f64 -1/3 x)))
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(/.f64 1 (/.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)) (+.f64 (pow.f64 x 3) 64/27)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (*.f64 x (-.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (-.f64 4/3 x)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (*.f64 x (-.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (-.f64 (pow.f64 x 2) (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (*.f64 x (-.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (-.f64 4/3 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) 64/27)) (neg.f64 (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (*.f64 x (-.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (-.f64 4/3 x)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (-.f64 16/9 (pow.f64 x 2)) (-.f64 4/3 x))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (-.f64 4/3 x)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) 64/27) 1) (-.f64 (fma.f64 x x 16/9) (.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (-.f64 (fma.f64 x x 16/9) (*.f64 x 4/3)))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (+.f64 16/9 (*.f64 x (-.f64 x 4/3))))
(/.f64 (+.f64 (pow.f64 x 3) 64/27) (fma.f64 x (+.f64 x -4/3) 16/9))
(/.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))
(+.f64 (/.f64 (pow.f64 x 2) (+.f64 x -4/3)) (/.f64 16/9 (-.f64 4/3 x)))
(/.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))
(pow.f64 (+.f64 x 4/3) 1)
(+.f64 x 4/3)
(pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)
(+.f64 x 4/3)
(pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)
(+.f64 x 4/3)
(pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)
(+.f64 x 4/3)
(sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))
(+.f64 x 4/3)
(log.f64 (exp.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 4/3))))
(+.f64 x 4/3)
(cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))
(+.f64 x 4/3)
(expm1.f64 (log.f64 (+.f64 x 7/3)))
(+.f64 x 4/3)
(log1p.f64 (expm1.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(exp.f64 (log.f64 (+.f64 x 4/3)))
(+.f64 x 4/3)
(fma.f64 x 1 4/3)
(+.f64 x 4/3)
(fma.f64 1 x 4/3)
(+.f64 x 4/3)
(fma.f64 1 (+.f64 x 7/3) -1)
(+.f64 x 4/3)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) 4/3)
(+.f64 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)
(+.f64 x 4/3)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) 4/3)
(+.f64 x 4/3)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3)
(+.f64 x 4/3)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) 4/3)
(+.f64 x 4/3)
(fma.f64 (+.f64 x 7/3) 1 -1)
(+.f64 x 4/3)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x 7/3)) (cbrt.f64 (+.f64 x 7/3))) (cbrt.f64 (+.f64 x 7/3)) -1)
(+.f64 x 4/3)
(fma.f64 (sqrt.f64 (+.f64 x 7/3)) (sqrt.f64 (+.f64 x 7/3)) -1)
(+.f64 x 4/3)

eval61.0ms (2.6%)

Compiler: Compiled 2425 to 1818 computations (25% saved)

prune31.0ms (1.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	214	5	219

Accuracy

100.0%

Counts

219 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(-.f64 (+.f64 x 4/3) 1)
✓	100.0%	(+.f64 x 1/3)
✓	100.0%	(*.f64 x (+.f64 1 (/.f64 1/3 x)))
✓	54.6%	x
✓	46.7%	1/3

Compiler

Compiled 61 to 47 computations (23% saved)

regimes11.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

Inputs
1/3
x
(+.f64 x 1/3)
(+.f64 x (/.f64 1 3))
(-.f64 (+.f64 x 4/3) 1)
(*.f64 x (+.f64 1 (/.f64 1/3 x)))
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1)
(.f64 x (+.f64 1 (.f64 1/3 (/.f64 1 x))))

Outputs
(+.f64 x 1/3)

Calls

2 calls:

7.0ms	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 8 to 6 computations (25% 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
97.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (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
46.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch35.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.0468039993633444e-20	0.4593101693847171
15.0ms	-71160.13101270341	-0.0004734048259299802

Results

29.0ms	319×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 130 to 108 computations (16.9% saved)

Precisions

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

Operation ival-div, time spent: 3.0ms, 55.0% of total-time

Operation ival-add, time spent: 2.0ms, 37.0% of total-time

Operation const, time spent: 1.0ms, 18.0% of total-time

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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 6034823500676465/18014398509481984) 1/3 x))
1/3

Outputs
(+.f64 x 1/3)
(if (<=.f64 x -6124895493223875/18014398509481984) x (if (<=.f64 x 6034823500676465/18014398509481984) 1/3 x))
1/3

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness19.0ms (0.8%)

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%)

preprocess29.0ms (1.2%)

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

analyze0.0ms (0%)

sample849.0ms (36.5%)

preprocess113.0ms (4.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize22.0ms (0.9%)

series2.0ms (0.1%)

rewrite212.0ms (9.1%)

simplify89.0ms (3.8%)

eval37.0ms (1.6%)

prune15.0ms (0.6%)

localize137.0ms (5.9%)

series12.0ms (0.5%)

rewrite132.0ms (5.7%)

simplify108.0ms (4.6%)

eval105.0ms (4.5%)

prune37.0ms (1.6%)

localize57.0ms (2.4%)

series5.0ms (0.2%)

rewrite117.0ms (5%)

simplify77.0ms (3.3%)

eval61.0ms (2.6%)

prune31.0ms (1.4%)

regimes11.0ms (0.5%)

regimes9.0ms (0.4%)

regimes4.0ms (0.2%)

bsearch35.0ms (1.5%)

simplify4.0ms (0.2%)

soundness19.0ms (0.8%)

end0.0ms (0%)

preprocess29.0ms (1.2%)

Profiling