Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, C

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample677.0ms (54.1%)

Results

666.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	11	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 x (/.f64 y 500))
(+.f64 y (/.f64 x 500))

Outputs
(+.f64 x (/.f64 y 500))
(+.f64 y (/.f64 x 500))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify12.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))

Outputs
(+.f64 x (/.f64 y 500))

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 y 500))
▶	100.0%	(+.f64 x (/.f64 y 500))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize40.0ms (3.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 y 500))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+.f64 x (/.f64 y 500))
0.0ms	x	@	0	(+.f64 x (/.f64 y 500))
0.0ms	x	@	inf	(+.f64 x (/.f64 y 500))
0.0ms	y	@	0	(+.f64 x (/.f64 y 500))
0.0ms	y	@	-inf	(+.f64 x (/.f64 y 500))

rewrite56.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1682×	`pow1`
1578×	`add-exp-log`
1578×	`log1p-expm1-u`
1578×	`expm1-log1p-u`
1548×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	158	9
2	2131	9

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(+.f64 x (/.f64 y 500))

Outputs
(-.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y 1/500))) (/.f64 (.f64 (.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))
(*.f64 (fma.f64 y 1/500 x) 1)
(*.f64 1 (fma.f64 y 1/500 x))
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))) (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y 1/500)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 1/250000) (-.f64 (.f64 x x) (.f64 x (.f64 y 1/500)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 y 1/500)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))) (neg.f64 (-.f64 x (.f64 y 1/500))))
(/.f64 (-.f64 (.f64 (.f64 y y) 1/250000) (.f64 x x)) (-.f64 (.f64 y 1/500) x))
(pow.f64 (fma.f64 y 1/500 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 y 1/500 x)
(fma.f64 1 x (*.f64 y 1/500))
(fma.f64 1 (*.f64 y 1/500) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 1/500)) 2) (cbrt.f64 (.f64 y 1/500)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 1/500))
(fma.f64 (sqrt.f64 (.f64 y 1/500)) (sqrt.f64 (.f64 y 1/500)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))

simplify54.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1174×	`fma-neg`
950×	`cancel-sign-sub-inv`
824×	`associate-r`
780×	`associate-l`
642×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	976
1	229	922
2	747	878
3	4455	878

Stop Event

1×	node limit

Counts

58 → 44

Calls

Call 1

Inputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
x
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(+.f64 (*.f64 1/500 y) x)
(-.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y 1/500))) (/.f64 (.f64 (.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))
(*.f64 (fma.f64 y 1/500 x) 1)
(*.f64 1 (fma.f64 y 1/500 x))
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))) (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y 1/500)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 1/250000) (-.f64 (.f64 x x) (.f64 x (.f64 y 1/500)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 y 1/500)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))) (neg.f64 (-.f64 x (.f64 y 1/500))))
(/.f64 (-.f64 (.f64 (.f64 y y) 1/250000) (.f64 x x)) (-.f64 (.f64 y 1/500) x))
(pow.f64 (fma.f64 y 1/500 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 y 1/500 x)
(fma.f64 1 x (*.f64 y 1/500))
(fma.f64 1 (*.f64 y 1/500) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 1/500)) 2) (cbrt.f64 (.f64 y 1/500)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 1/500))
(fma.f64 (sqrt.f64 (.f64 y 1/500)) (sqrt.f64 (.f64 y 1/500)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))

Outputs
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
x
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(+.f64 (*.f64 1/500 y) x)
(fma.f64 1/500 y x)
(-.f64 (+.f64 1 (fma.f64 y 1/500 x)) 1)
(fma.f64 1/500 y x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y 1/500))) (/.f64 (.f64 (.f64 y y) 1/250000) (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(*.f64 (fma.f64 y 1/500 x) 1)
(fma.f64 1/500 y x)
(*.f64 1 (fma.f64 y 1/500 x))
(fma.f64 1/500 y x)
(*.f64 (cbrt.f64 (fma.f64 y 1/500 x)) (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2))
(fma.f64 1/500 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 2) (cbrt.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(*.f64 (sqrt.f64 (fma.f64 y 1/500 x)) (sqrt.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (*.f64 y 1/500) x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) 1) (fma.f64 x x (.f64 y (*.f64 1/500 (fma.f64 y 1/500 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (.f64 y (.f64 1/500 (fma.f64 1/500 y (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (/.f64 1 (-.f64 x (*.f64 y 1/500))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))) (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) 1) (fma.f64 x x (.f64 y (*.f64 1/500 (fma.f64 y 1/500 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (.f64 y (.f64 1/500 (fma.f64 1/500 y (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y 1/500)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) 1) (fma.f64 x x (.f64 y (*.f64 1/500 (fma.f64 y 1/500 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (.f64 y (.f64 1/500 (fma.f64 1/500 y (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 1/250000) (-.f64 (.f64 x x) (.f64 x (.f64 y 1/500)))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) 1) (fma.f64 x x (.f64 y (*.f64 1/500 (fma.f64 y 1/500 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (.f64 y (.f64 1/500 (fma.f64 1/500 y (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 y 1/500)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) 1/125000000) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 1/500) (-.f64 (.f64 y 1/500) x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) 1) (fma.f64 x x (.f64 y (*.f64 1/500 (fma.f64 y 1/500 (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 x x (.f64 y (.f64 1/500 (fma.f64 1/500 y (neg.f64 x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 1/125000000 (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000))) (neg.f64 (-.f64 x (.f64 y 1/500))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (-.f64 (.f64 (.f64 y y) 1/250000) (.f64 x x)) (-.f64 (.f64 y 1/500) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 1/250000)) (-.f64 x (.f64 1/500 y)))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -1/250000)) (+.f64 x (*.f64 y -1/500)))
(/.f64 (fma.f64 y (.f64 y -1/250000) (.f64 x x)) (fma.f64 y -1/500 x))
(pow.f64 (fma.f64 y 1/500 x) 1)
(fma.f64 1/500 y x)
(pow.f64 (cbrt.f64 (fma.f64 y 1/500 x)) 3)
(fma.f64 1/500 y x)
(pow.f64 (pow.f64 (fma.f64 y 1/500 x) 3) 1/3)
(fma.f64 1/500 y x)
(pow.f64 (sqrt.f64 (fma.f64 y 1/500 x)) 2)
(fma.f64 1/500 y x)
(sqrt.f64 (pow.f64 (fma.f64 y 1/500 x) 2))
(fma.f64 1/500 y x)
(log.f64 (exp.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(cbrt.f64 (pow.f64 (fma.f64 y 1/500 x) 3))
(fma.f64 1/500 y x)
(expm1.f64 (log1p.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(exp.f64 (log.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(log1p.f64 (expm1.f64 (fma.f64 y 1/500 x)))
(fma.f64 1/500 y x)
(fma.f64 y 1/500 x)
(fma.f64 1/500 y x)
(fma.f64 1 x (*.f64 y 1/500))
(fma.f64 1/500 y x)
(fma.f64 1 (*.f64 y 1/500) x)
(fma.f64 1/500 y x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 1/500)) 2) (cbrt.f64 (.f64 y 1/500)) x)
(fma.f64 1/500 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 1/500))
(fma.f64 1/500 y x)
(fma.f64 (sqrt.f64 (.f64 y 1/500)) (sqrt.f64 (.f64 y 1/500)) x)
(fma.f64 1/500 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 1/500))
(fma.f64 1/500 y x)

eval11.0ms (0.9%)

Compiler: Compiled 521 to 327 computations (37.2% saved)

prune9.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Accurracy

100.0%

Counts

45 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (*.f64 1/500 y) x)
✓	100.0%	(+.f64 x (/.f64 y 500))
▶	49.4%	(*.f64 1/500 y)
	52.2%	x
▶	99.9%	(+.f64 (*.f64 1/500 y) x)
✓	100.0%	(+.f64 x (/.f64 y 500))
▶	49.4%	(*.f64 1/500 y)
	52.2%	x

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize28.0ms (2.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 1/500 y) x)
✓	99.8%	(*.f64 1/500 y)
✓	99.8%	(*.f64 1/500 y)

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0.1%)

Counts

3 → 6

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(*.f64 1/500 y)
0.0ms	y	@	-inf	(*.f64 1/500 y)
0.0ms	y	@	0	(*.f64 1/500 y)
0.0ms	x	@	-inf	(+.f64 (*.f64 1/500 y) x)
0.0ms	y	@	-inf	(+.f64 (*.f64 1/500 y) x)

rewrite118.0ms (9.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`pow1`
1476×	`add-exp-log`
1476×	`log1p-expm1-u`
1476×	`expm1-log1p-u`
1448×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	152	23
2	1993	23

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs
(*.f64 1/500 y)
(*.f64 1/500 y)
(+.f64 (*.f64 1/500 y) x)

Outputs
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(pow.f64 (*.f64 1/500 y) 1)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(pow.f64 (*.f64 1/125000000 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(sqrt.f64 (.f64 1/250000 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 y) 1/500))
(cbrt.f64 (*.f64 1/125000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(exp.f64 (log.f64 (*.f64 1/500 y)))
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(pow.f64 (*.f64 1/500 y) 1)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(pow.f64 (*.f64 1/125000000 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(sqrt.f64 (.f64 1/250000 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 y) 1/500))
(cbrt.f64 (*.f64 1/125000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(exp.f64 (log.f64 (*.f64 1/500 y)))
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(-.f64 (+.f64 1 (fma.f64 1/500 y x)) 1)
(-.f64 (/.f64 (.f64 1/250000 (.f64 y y)) (fma.f64 1/500 y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 1/500 y (neg.f64 x))))
(*.f64 (fma.f64 1/500 y x) 1)
(*.f64 1 (fma.f64 1/500 y x))
(*.f64 (cbrt.f64 (fma.f64 1/500 y x)) (pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 2) (cbrt.f64 (fma.f64 1/500 y x)))
(*.f64 (sqrt.f64 (fma.f64 1/500 y x)) (sqrt.f64 (fma.f64 1/500 y x)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (.f64 1/500 y))))))
(.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 x x)) (/.f64 1 (fma.f64 1/500 y (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (.f64 1/500 y)))) (+.f64 (pow.f64 x 3) (*.f64 1/125000000 (pow.f64 y 3)))))
(/.f64 1 (/.f64 (fma.f64 1/500 y (neg.f64 x)) (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3))) (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (*.f64 1/500 y)))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 1/500 (.f64 y x)))))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x)) (fma.f64 1/500 y (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (*.f64 1/500 y))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x))) (neg.f64 (fma.f64 1/500 y (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/250000 (.f64 y y))) (-.f64 x (.f64 1/500 y)))
(pow.f64 (fma.f64 1/500 y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 3)
(pow.f64 (pow.f64 (fma.f64 1/500 y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/500 y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/500 y x) 2))
(log.f64 (exp.f64 (fma.f64 1/500 y x)))
(cbrt.f64 (pow.f64 (fma.f64 1/500 y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/500 y x)))
(exp.f64 (log.f64 (fma.f64 1/500 y x)))
(log1p.f64 (expm1.f64 (fma.f64 1/500 y x)))
(fma.f64 1/500 y x)
(fma.f64 y 1/500 x)
(fma.f64 1 (*.f64 1/500 y) x)
(fma.f64 1 x (*.f64 1/500 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 1/500 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/500 y)) 2) (cbrt.f64 (.f64 1/500 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 1/500 y))
(fma.f64 (sqrt.f64 (.f64 1/500 y)) (sqrt.f64 (.f64 1/500 y)) x)

simplify58.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1072×	`fma-neg`
870×	`associate-r`
778×	`associate-l`
672×	`fma-def`
608×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1345
1	266	1151
2	837	939
3	4559	939

Stop Event

1×	node limit

Counts

63 → 58

Calls

Call 1

Inputs
x
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
x
x
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(pow.f64 (*.f64 1/500 y) 1)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(pow.f64 (*.f64 1/125000000 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(sqrt.f64 (.f64 1/250000 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 y) 1/500))
(cbrt.f64 (*.f64 1/125000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(exp.f64 (log.f64 (*.f64 1/500 y)))
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(pow.f64 (*.f64 1/500 y) 1)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(pow.f64 (*.f64 1/125000000 (pow.f64 y 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(sqrt.f64 (.f64 1/250000 (.f64 y y)))
(log.f64 (pow.f64 (exp.f64 y) 1/500))
(cbrt.f64 (*.f64 1/125000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(exp.f64 (log.f64 (*.f64 1/500 y)))
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(-.f64 (+.f64 1 (fma.f64 1/500 y x)) 1)
(-.f64 (/.f64 (.f64 1/250000 (.f64 y y)) (fma.f64 1/500 y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 1/500 y (neg.f64 x))))
(*.f64 (fma.f64 1/500 y x) 1)
(*.f64 1 (fma.f64 1/500 y x))
(*.f64 (cbrt.f64 (fma.f64 1/500 y x)) (pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 2) (cbrt.f64 (fma.f64 1/500 y x)))
(*.f64 (sqrt.f64 (fma.f64 1/500 y x)) (sqrt.f64 (fma.f64 1/500 y x)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (.f64 1/500 y))))))
(.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 x x)) (/.f64 1 (fma.f64 1/500 y (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (.f64 1/500 y)))) (+.f64 (pow.f64 x 3) (*.f64 1/125000000 (pow.f64 y 3)))))
(/.f64 1 (/.f64 (fma.f64 1/500 y (neg.f64 x)) (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3))) (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (*.f64 1/500 y)))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 1/500 (.f64 y x)))))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x)) (fma.f64 1/500 y (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (*.f64 1/500 y))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x))) (neg.f64 (fma.f64 1/500 y (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/250000 (.f64 y y))) (-.f64 x (.f64 1/500 y)))
(pow.f64 (fma.f64 1/500 y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 3)
(pow.f64 (pow.f64 (fma.f64 1/500 y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/500 y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/500 y x) 2))
(log.f64 (exp.f64 (fma.f64 1/500 y x)))
(cbrt.f64 (pow.f64 (fma.f64 1/500 y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/500 y x)))
(exp.f64 (log.f64 (fma.f64 1/500 y x)))
(log1p.f64 (expm1.f64 (fma.f64 1/500 y x)))
(fma.f64 1/500 y x)
(fma.f64 y 1/500 x)
(fma.f64 1 (*.f64 1/500 y) x)
(fma.f64 1 x (*.f64 1/500 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 1/500 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/500 y)) 2) (cbrt.f64 (.f64 1/500 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 1/500 y))
(fma.f64 (sqrt.f64 (.f64 1/500 y)) (sqrt.f64 (.f64 1/500 y)) x)

Outputs
x
(*.f64 1/500 y)
(*.f64 1/500 y)
(*.f64 1/500 y)
x
x
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(*.f64 1/500 y)
(pow.f64 (*.f64 1/500 y) 1)
(*.f64 1/500 y)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(*.f64 1/500 y)
(pow.f64 (*.f64 1/125000000 (pow.f64 y 3)) 1/3)
(cbrt.f64 (*.f64 1/125000000 (pow.f64 y 3)))
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(*.f64 1/500 y)
(sqrt.f64 (.f64 1/250000 (.f64 y y)))
(sqrt.f64 (.f64 y (.f64 y 1/250000)))
(log.f64 (pow.f64 (exp.f64 y) 1/500))
(*.f64 1/500 y)
(cbrt.f64 (*.f64 1/125000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)
(exp.f64 (log.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)
(-.f64 (+.f64 1 (*.f64 1/500 y)) 1)
(*.f64 1/500 y)
(pow.f64 (*.f64 1/500 y) 1)
(*.f64 1/500 y)
(pow.f64 (cbrt.f64 (*.f64 1/500 y)) 3)
(*.f64 1/500 y)
(pow.f64 (*.f64 1/125000000 (pow.f64 y 3)) 1/3)
(cbrt.f64 (*.f64 1/125000000 (pow.f64 y 3)))
(pow.f64 (sqrt.f64 (*.f64 1/500 y)) 2)
(*.f64 1/500 y)
(sqrt.f64 (.f64 1/250000 (.f64 y y)))
(sqrt.f64 (.f64 y (.f64 y 1/250000)))
(log.f64 (pow.f64 (exp.f64 y) 1/500))
(*.f64 1/500 y)
(cbrt.f64 (*.f64 1/125000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)
(exp.f64 (log.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)
(log1p.f64 (expm1.f64 (*.f64 1/500 y)))
(*.f64 1/500 y)
(-.f64 (+.f64 1 (fma.f64 1/500 y x)) 1)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(-.f64 (/.f64 (.f64 1/250000 (.f64 y y)) (fma.f64 1/500 y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 1/500 y (neg.f64 x))))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x)) (fma.f64 1/500 y (neg.f64 x)))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 1/500 y) x))
(/.f64 (fma.f64 (.f64 y -1/250000) y (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/250000))) (fma.f64 y -1/500 x))
(*.f64 (fma.f64 1/500 y x) 1)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(*.f64 1 (fma.f64 1/500 y x))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(*.f64 (cbrt.f64 (fma.f64 1/500 y x)) (pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 2))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 2) (cbrt.f64 (fma.f64 1/500 y x)))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(*.f64 (sqrt.f64 (fma.f64 1/500 y x)) (sqrt.f64 (fma.f64 1/500 y x)))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (.f64 1/500 y))))))
(.f64 (+.f64 (.f64 1/125000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 1/250000 (.f64 y y) (.f64 x (+.f64 x (*.f64 -1/500 y))))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y -1/500)) (.f64 1/250000 (*.f64 y y))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -1/500 x) (.f64 y (.f64 y 1/250000))))
(.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 x x)) (/.f64 1 (fma.f64 1/500 y (neg.f64 x))))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x)) (fma.f64 1/500 y (neg.f64 x)))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 1/500 y) x))
(/.f64 (fma.f64 (.f64 y -1/250000) y (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/250000))) (fma.f64 y -1/500 x))
(/.f64 1 (/.f64 (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (.f64 1/500 y)))) (+.f64 (pow.f64 x 3) (*.f64 1/125000000 (pow.f64 y 3)))))
(.f64 (+.f64 (.f64 1/125000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 1/250000 (.f64 y y) (.f64 x (+.f64 x (*.f64 -1/500 y))))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y -1/500)) (.f64 1/250000 (*.f64 y y))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -1/500 x) (.f64 y (.f64 y 1/250000))))
(/.f64 1 (/.f64 (fma.f64 1/500 y (neg.f64 x)) (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x)) (fma.f64 1/500 y (neg.f64 x)))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 1/500 y) x))
(/.f64 (fma.f64 (.f64 y -1/250000) y (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/250000))) (fma.f64 y -1/500 x))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3))) (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (*.f64 1/500 y)))))
(.f64 (+.f64 (.f64 1/125000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 1/250000 (.f64 y y) (.f64 x (+.f64 x (*.f64 -1/500 y))))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y -1/500)) (.f64 1/250000 (*.f64 y y))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -1/500 x) (.f64 y (.f64 y 1/250000))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 1/500 (.f64 y x)))))
(.f64 (+.f64 (.f64 1/125000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 1/250000 (.f64 y y) (.f64 x (+.f64 x (*.f64 -1/500 y))))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y -1/500)) (.f64 1/250000 (*.f64 y y))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -1/500 x) (.f64 y (.f64 y 1/250000))))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x)) (fma.f64 1/500 y (neg.f64 x)))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 1/500 y) x))
(/.f64 (fma.f64 (.f64 y -1/250000) y (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/250000))) (fma.f64 y -1/500 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 1/125000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (.f64 1/250000 (.f64 y y)) (.f64 x (-.f64 x (*.f64 1/500 y))))))
(.f64 (+.f64 (.f64 1/125000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (fma.f64 1/250000 (.f64 y y) (.f64 x (+.f64 x (*.f64 -1/500 y))))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 y -1/500)) (.f64 1/250000 (*.f64 y y))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 y (.f64 y 1/250000) (.f64 x (fma.f64 y -1/500 x))))
(/.f64 (fma.f64 1/125000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -1/500 x) (.f64 y (.f64 y 1/250000))))
(/.f64 (neg.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x))) (neg.f64 (fma.f64 1/500 y (neg.f64 x))))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x)) (fma.f64 1/500 y (neg.f64 x)))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 1/500 y) x))
(/.f64 (fma.f64 (.f64 y -1/250000) y (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/250000))) (fma.f64 y -1/500 x))
(/.f64 (-.f64 (.f64 x x) (.f64 1/250000 (.f64 y y))) (-.f64 x (.f64 1/500 y)))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (*.f64 x x)) (fma.f64 1/500 y (neg.f64 x)))
(/.f64 (-.f64 (.f64 1/250000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 1/500 y) x))
(/.f64 (fma.f64 (.f64 y -1/250000) y (.f64 x x)) (fma.f64 y -1/500 x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y -1/250000))) (fma.f64 y -1/500 x))
(pow.f64 (fma.f64 1/500 y x) 1)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(pow.f64 (cbrt.f64 (fma.f64 1/500 y x)) 3)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(pow.f64 (pow.f64 (fma.f64 1/500 y x) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(pow.f64 (sqrt.f64 (fma.f64 1/500 y x)) 2)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(sqrt.f64 (pow.f64 (fma.f64 1/500 y x) 2))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(log.f64 (exp.f64 (fma.f64 1/500 y x)))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(cbrt.f64 (pow.f64 (fma.f64 1/500 y x) 3))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(expm1.f64 (log1p.f64 (fma.f64 1/500 y x)))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(exp.f64 (log.f64 (fma.f64 1/500 y x)))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(log1p.f64 (expm1.f64 (fma.f64 1/500 y x)))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(fma.f64 1/500 y x)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 y 1/500 x)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(fma.f64 1 (*.f64 1/500 y) x)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(fma.f64 1 x (*.f64 1/500 y))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 1/500 y))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/500 y)) 2) (cbrt.f64 (.f64 1/500 y)) x)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 1/500 y))
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)
(fma.f64 (sqrt.f64 (.f64 1/500 y)) (sqrt.f64 (.f64 1/500 y)) x)
(+.f64 1 (-.f64 (fma.f64 1/500 y x) 1))
(+.f64 (fma.f64 1/500 y x) 0)
(fma.f64 1/500 y x)

eval23.0ms (1.8%)

Compiler: Compiled 716 to 461 computations (35.6% saved)

prune11.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	2	2
Done	0	1	1
Total	70	4	74

Accurracy

100.0%

Counts

74 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (*.f64 1/500 y) x)
✓	100.0%	(+.f64 x (/.f64 y 500))
✓	49.4%	(*.f64 1/500 y)
	52.2%	x
✓	99.9%	(+.f64 (*.f64 1/500 y) x)
✓	100.0%	(+.f64 x (/.f64 y 500))
✓	49.4%	(*.f64 1/500 y)
	52.2%	x

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (*.f64 1/500 y) x)
✓	100.0%	(+.f64 x (/.f64 y 500))
✓	49.4%	(*.f64 1/500 y)
	52.2%	x
✓	99.9%	(+.f64 (*.f64 1/500 y) x)
✓	100.0%	(+.f64 x (/.f64 y 500))
✓	49.4%	(*.f64 1/500 y)
	52.2%	x

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (*.f64 1/500 y) x)
✓	100.0%	(+.f64 x (/.f64 y 500))
✓	49.4%	(*.f64 1/500 y)
	52.2%	x

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes18.0ms (1.4%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(*.f64 1/500 y)
(+.f64 x (/.f64 y 500))
(+.f64 (*.f64 1/500 y) x)

Outputs
(+.f64 x (/.f64 y 500))

Calls

4 calls:

5.0ms	x
5.0ms	(+.f64 x (/.f64 y 500))
4.0ms	(/.f64 y 500)
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 x (/.f64 y 500))`
100.0%	1	`(/.f64 y 500)`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes23.0ms (1.8%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 1/500 y)

Outputs
(*.f64 1/500 y)
x
(*.f64 1/500 y)

Calls

2 calls:

11.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
75.8%	3	`x`
81.4%	3	`y`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
52.2%	1	`x`
52.2%	1	`y`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch21.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.1452541037990974e+55	8.57159397822618e+59
9.0ms	-2.6812472708432797e+51	-6.23367765261319e+50

Results

19.0ms

224×

body

256

valid

Compiler

Compiled 152 to 121 computations (20.4% saved)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	25	47

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(+.f64 x (/.f64 y 500))

(if (<=.f64 y -1300000000000000057648633065915910014590573988544512) (*.f64 1/500 y) (if (<=.f64 y 1800000000000000121868960180700684962200670523615990513664) x (*.f64 1/500 y)))

Outputs
(+.f64 x (/.f64 y 500))
(if (<=.f64 y -1300000000000000057648633065915910014590573988544512) (.f64 1/500 y) (if (<=.f64 y 1800000000000000121868960180700684962200670523615990513664) x (.f64 1/500 y)))
(if (<=.f64 y -1300000000000000057648633065915910014590573988544512) (.f64 y 1/500) (if (<=.f64 y 1800000000000000121868960180700684962200670523615990513664) x (.f64 y 1/500)))
x

Compiler

Compiled 27 to 19 computations (29.6% saved)

soundness0.0ms (0%)

end58.0ms (4.6%)

Compiler: Compiled 60 to 40 computations (33.3% saved)

analyze0.0ms (0%)

sample677.0ms (54.1%)

preprocess15.0ms (1.2%)

simplify12.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize40.0ms (3.2%)

series1.0ms (0.1%)

rewrite56.0ms (4.5%)

simplify54.0ms (4.3%)

eval11.0ms (0.9%)

prune9.0ms (0.7%)

localize28.0ms (2.2%)

series1.0ms (0.1%)

rewrite118.0ms (9.4%)

simplify58.0ms (4.6%)

eval23.0ms (1.8%)

prune11.0ms (0.9%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes18.0ms (1.4%)

regimes23.0ms (1.8%)

regimes6.0ms (0.5%)

bsearch21.0ms (1.7%)

simplify5.0ms (0.4%)

soundness0.0ms (0%)

end58.0ms (4.6%)

Profiling