Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H

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)

sample855.0ms (55.6%)

Results

718.0ms	7175×	body	256	valid
126.0ms	1081×	body	256	infinite

Bogosity

preprocess77.0ms (5%)

Algorithm

1×	egg-herbie

Rules

460×	`fma-def`
108×	`*-commutative`
106×	`associate-r`
74×	`distribute-lft-in`
62×	`associate-l`

Problems

256×

No Errors

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	34	69
2	78	65
3	205	61
4	452	61
5	703	61
6	802	61
7	816	61

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (-.f64 1 y))
(*.f64 x (-.f64 1 y))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 x (-.f64 1 (neg.f64 y)))
(*.f64 y (-.f64 1 x))

Outputs
(*.f64 x (-.f64 1 y))
(*.f64 x (-.f64 1 y))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 1 y)))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(*.f64 x (-.f64 1 (neg.f64 y)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 x y))

Compiler

Compiled 21 to 14 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 x (-.f64 1 y))
▶	100.0%	(*.f64 x (-.f64 1 y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize99.0ms (6.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 x (-.f64 1 y))
✓	100.0%	(*.f64 x (-.f64 1 y))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0.2%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (-.f64 1 y))
0.0ms	x	@	-inf	(*.f64 x (-.f64 1 y))
0.0ms	y	@	-inf	(*.f64 x (-.f64 1 y))
0.0ms	x	@	inf	(*.f64 x (-.f64 1 y))
0.0ms	y	@	inf	(*.f64 x (-.f64 1 y))

rewrite86.0ms (5.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1028×	`times-frac`
676×	`associate-r`
670×	`associate-l`
522×	`frac-2neg`
514×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	29	13
2	149	13
3	1151	13

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

Inputs
(*.f64 x (-.f64 1 y))

Outputs
(+.f64 x (neg.f64 (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) x)
(-.f64 (/.f64 1 (/.f64 (+.f64 1 y) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 1 y) x)))
(-.f64 (/.f64 (/.f64 1 (fma.f64 y y 1)) (/.f64 (+.f64 1 y) x)) (/.f64 (/.f64 (pow.f64 y 4) (fma.f64 y y 1)) (/.f64 (+.f64 1 y) x)))
(-.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 y 4) (fma.f64 y y 1))) (/.f64 (+.f64 1 y) x)) (/.f64 (/.f64 (pow.f64 y 6) (+.f64 (pow.f64 y 4) (fma.f64 y y 1))) (/.f64 (+.f64 1 y) x)))
(-.f64 (/.f64 1 (/.f64 (+.f64 1 (fma.f64 y y y)) x)) (/.f64 (pow.f64 y 3) (/.f64 (+.f64 1 (fma.f64 y y y)) x)))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 y 3))) (/.f64 (+.f64 1 (fma.f64 y y y)) x)) (/.f64 (/.f64 (pow.f64 y 6) (+.f64 1 (pow.f64 y 3))) (/.f64 (+.f64 1 (fma.f64 y y y)) x)))
(-.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 y 3) (+.f64 1 (pow.f64 y 6)))) (/.f64 (+.f64 1 (fma.f64 y y y)) x)) (/.f64 (/.f64 (pow.f64 y 9) (+.f64 (pow.f64 y 3) (+.f64 1 (pow.f64 y 6)))) (/.f64 (+.f64 1 (fma.f64 y y y)) x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 x y))) (/.f64 (.f64 (.f64 y y) (.f64 x x)) (+.f64 x (.f64 x y))))
(/.f64 x (/.f64 1 (-.f64 1 y)))
(/.f64 1 (/.f64 1 (fma.f64 x (neg.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 y)) x))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 x (neg.f64 y) x)) 1))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 y) x) (-.f64 1 (*.f64 y y))))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (fma.f64 y y y)) x) (-.f64 1 (pow.f64 y 3))))
(/.f64 1 (/.f64 (+.f64 x (.f64 x y)) (-.f64 (.f64 x x) (.f64 (.f64 y y) (*.f64 x x)))))
(/.f64 1 (/.f64 (-.f64 -1 y) (.f64 x (+.f64 (.f64 y y) -1))))
(/.f64 1 (/.f64 (-.f64 -1 (fma.f64 y y y)) (*.f64 x (+.f64 (pow.f64 y 3) -1))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x (neg.f64 (.f64 x y))))) (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (.f64 x y)) 3))))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x))
(/.f64 (+.f64 (*.f64 y y) -1) (neg.f64 (/.f64 (+.f64 1 y) x)))
(/.f64 (+.f64 (pow.f64 y 3) -1) (neg.f64 (/.f64 (+.f64 1 (fma.f64 y y y)) x)))
(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (+.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 x (neg.f64 y) x))))
(/.f64 (neg.f64 (.f64 x (-.f64 1 (.f64 y y)))) (-.f64 -1 y))
(/.f64 (neg.f64 (*.f64 x (-.f64 1 (pow.f64 y 3)))) (-.f64 -1 (fma.f64 y y y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 x x))) (+.f64 x (*.f64 x y)))
(/.f64 (.f64 x (+.f64 (.f64 y y) -1)) (-.f64 -1 y))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (-.f64 -1 (fma.f64 y y y)))
(/.f64 (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (.f64 x y)) 3)) (fma.f64 x x (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x (neg.f64 (.f64 x y))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1 (-.f64 1 y))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (-.f64 1 (.f64 y y))))) (+.f64 1 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 x x)))) (neg.f64 (+.f64 x (*.f64 x y))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 y y) -1))) (+.f64 1 y))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (.f64 x y)) 3))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x (neg.f64 (.f64 x y)))))))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x x)) (-.f64 (neg.f64 (*.f64 x y)) x))
(pow.f64 (/.f64 1 (fma.f64 x (neg.f64 y) x)) -1)
(fma.f64 x 1 (neg.f64 (*.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(fma.f64 1 x (neg.f64 (*.f64 x y)))
(fma.f64 (neg.f64 y) x x)
(fma.f64 -1 (*.f64 x y) x)
(fma.f64 (*.f64 x -1) y x)

Calls

3 calls:

1.0ms	(*.f64 x (-.f64 1 y))
0.0ms	(*.f64 x (-.f64 1 y))
0.0ms	(*.f64 x (-.f64 1 y))

simplify77.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1318×	`times-frac`
992×	`associate-*r/`
986×	`associate-/l*`
800×	`associate-/r*`
697×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2187
1	503	2077
2	1805	2001

Stop Event

1×	node limit

Counts

75 → 90

Calls

Call 1

Inputs
x
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (.f64 -1 (.f64 x y)))
(+.f64 x (neg.f64 (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) x)
(-.f64 (/.f64 1 (/.f64 (+.f64 1 y) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 1 y) x)))
(-.f64 (/.f64 (/.f64 1 (fma.f64 y y 1)) (/.f64 (+.f64 1 y) x)) (/.f64 (/.f64 (pow.f64 y 4) (fma.f64 y y 1)) (/.f64 (+.f64 1 y) x)))
(-.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 y 4) (fma.f64 y y 1))) (/.f64 (+.f64 1 y) x)) (/.f64 (/.f64 (pow.f64 y 6) (+.f64 (pow.f64 y 4) (fma.f64 y y 1))) (/.f64 (+.f64 1 y) x)))
(-.f64 (/.f64 1 (/.f64 (+.f64 1 (fma.f64 y y y)) x)) (/.f64 (pow.f64 y 3) (/.f64 (+.f64 1 (fma.f64 y y y)) x)))
(-.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 y 3))) (/.f64 (+.f64 1 (fma.f64 y y y)) x)) (/.f64 (/.f64 (pow.f64 y 6) (+.f64 1 (pow.f64 y 3))) (/.f64 (+.f64 1 (fma.f64 y y y)) x)))
(-.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 y 3) (+.f64 1 (pow.f64 y 6)))) (/.f64 (+.f64 1 (fma.f64 y y y)) x)) (/.f64 (/.f64 (pow.f64 y 9) (+.f64 (pow.f64 y 3) (+.f64 1 (pow.f64 y 6)))) (/.f64 (+.f64 1 (fma.f64 y y y)) x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 x y))) (/.f64 (.f64 (.f64 y y) (.f64 x x)) (+.f64 x (.f64 x y))))
(/.f64 x (/.f64 1 (-.f64 1 y)))
(/.f64 1 (/.f64 1 (fma.f64 x (neg.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 y)) x))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 x (neg.f64 y) x)) 1))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 y) x) (-.f64 1 (*.f64 y y))))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 (fma.f64 y y y)) x) (-.f64 1 (pow.f64 y 3))))
(/.f64 1 (/.f64 (+.f64 x (.f64 x y)) (-.f64 (.f64 x x) (.f64 (.f64 y y) (*.f64 x x)))))
(/.f64 1 (/.f64 (-.f64 -1 y) (.f64 x (+.f64 (.f64 y y) -1))))
(/.f64 1 (/.f64 (-.f64 -1 (fma.f64 y y y)) (*.f64 x (+.f64 (pow.f64 y 3) -1))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x (neg.f64 (.f64 x y))))) (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (.f64 x y)) 3))))
(/.f64 (-.f64 1 (*.f64 y y)) (/.f64 (+.f64 1 y) x))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x))
(/.f64 (+.f64 (*.f64 y y) -1) (neg.f64 (/.f64 (+.f64 1 y) x)))
(/.f64 (+.f64 (pow.f64 y 3) -1) (neg.f64 (/.f64 (+.f64 1 (fma.f64 y y y)) x)))
(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (+.f64 1 y))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 x (neg.f64 y) x))))
(/.f64 (neg.f64 (.f64 x (-.f64 1 (.f64 y y)))) (-.f64 -1 y))
(/.f64 (neg.f64 (*.f64 x (-.f64 1 (pow.f64 y 3)))) (-.f64 -1 (fma.f64 y y y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 x x))) (+.f64 x (*.f64 x y)))
(/.f64 (.f64 x (+.f64 (.f64 y y) -1)) (-.f64 -1 y))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (-.f64 -1 (fma.f64 y y y)))
(/.f64 (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (.f64 x y)) 3)) (fma.f64 x x (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x (neg.f64 (.f64 x y))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1 (-.f64 1 y))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (-.f64 1 (.f64 y y))))) (+.f64 1 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 x x)))) (neg.f64 (+.f64 x (*.f64 x y))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 y y) -1))) (+.f64 1 y))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (.f64 x y)) 3))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x (neg.f64 (.f64 x y)))))))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x x)) (-.f64 (neg.f64 (*.f64 x y)) x))
(pow.f64 (/.f64 1 (fma.f64 x (neg.f64 y) x)) -1)
(fma.f64 x 1 (neg.f64 (*.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(fma.f64 1 x (neg.f64 (*.f64 x y)))
(fma.f64 (neg.f64 y) x x)
(fma.f64 -1 (*.f64 x y) x)
(fma.f64 (*.f64 x -1) y x)
(exp.f64 (log.f64 (*.f64 x (-.f64 1 y))))
(log.f64 (exp.f64 (*.f64 x (-.f64 1 y))))
(.f64 (sqrt.f64 (.f64 x (-.f64 1 y))) (sqrt.f64 (*.f64 x (-.f64 1 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 y))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 y))))
(.f64 1 (.f64 x (-.f64 1 y)))
(.f64 (.f64 (cbrt.f64 (.f64 x (-.f64 1 y))) (cbrt.f64 (.f64 x (-.f64 1 y)))) (cbrt.f64 (*.f64 x (-.f64 1 y))))
(cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 1 y)) (.f64 x (-.f64 1 y))) (*.f64 x (-.f64 1 y))))
(pow.f64 (*.f64 x (-.f64 1 y)) 1)
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (-.f32 1 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1 y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (-.f32 1 (binary64->binary32 y))))

Outputs
x
(+.f64 x (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(+.f64 x (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(+.f64 x (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(+.f64 x (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(+.f64 x (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(+.f64 x (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(+.f64 x (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(+.f64 x (neg.f64 (*.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(+.f64 (neg.f64 (*.f64 x y)) x)
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(-.f64 (/.f64 1 (/.f64 (+.f64 1 y) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 1 y) x)))
(.f64 (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)) x)
(.f64 x (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)))
(*.f64 x (/.f64 (fma.f64 y y -1) (-.f64 -1 y)))
(-.f64 (/.f64 (/.f64 1 (fma.f64 y y 1)) (/.f64 (+.f64 1 y) x)) (/.f64 (/.f64 (pow.f64 y 4) (fma.f64 y y 1)) (/.f64 (+.f64 1 y) x)))
(-.f64 (/.f64 (/.f64 1 (fma.f64 y y 1)) (/.f64 (+.f64 y 1) x)) (/.f64 (/.f64 (pow.f64 y 4) (fma.f64 y y 1)) (/.f64 (+.f64 y 1) x)))
(-.f64 (/.f64 (/.f64 x (+.f64 y 1)) (fma.f64 y y 1)) (/.f64 (/.f64 (pow.f64 y 4) (fma.f64 y y 1)) (/.f64 (+.f64 y 1) x)))
(-.f64 (/.f64 x (.f64 (+.f64 y 1) (fma.f64 y y 1))) (.f64 x (/.f64 (pow.f64 y 4) (*.f64 (+.f64 y 1) (fma.f64 y y 1)))))
(-.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 y 4) (fma.f64 y y 1))) (/.f64 (+.f64 1 y) x)) (/.f64 (/.f64 (pow.f64 y 6) (+.f64 (pow.f64 y 4) (fma.f64 y y 1))) (/.f64 (+.f64 1 y) x)))
(-.f64 (.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 y y 1) (pow.f64 y 4))) (+.f64 y 1)) x) (.f64 (/.f64 (/.f64 (pow.f64 y 6) (+.f64 (fma.f64 y y 1) (pow.f64 y 4))) (+.f64 y 1)) x))
(-.f64 (/.f64 (/.f64 x (+.f64 y 1)) (+.f64 (fma.f64 y y 1) (pow.f64 y 4))) (.f64 x (/.f64 (pow.f64 y 6) (.f64 (+.f64 y 1) (+.f64 (fma.f64 y y 1) (pow.f64 y 4))))))
(-.f64 (/.f64 x (.f64 (+.f64 y 1) (+.f64 (fma.f64 y y 1) (pow.f64 y 4)))) (.f64 x (/.f64 (pow.f64 y 6) (*.f64 (+.f64 y 1) (+.f64 (fma.f64 y y 1) (pow.f64 y 4))))))
(-.f64 (/.f64 1 (/.f64 (+.f64 1 (fma.f64 y y y)) x)) (/.f64 (pow.f64 y 3) (/.f64 (+.f64 1 (fma.f64 y y y)) x)))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 y 3)) (+.f64 1 (fma.f64 y y y))))
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(/.f64 (+.f64 (pow.f64 y 3) -1) (neg.f64 (/.f64 (+.f64 1 (fma.f64 y y y)) x)))
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(/.f64 (.f64 x (-.f64 1 (.f64 y y))) (+.f64 1 y))
(.f64 (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)) x)
(.f64 x (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)))
(*.f64 x (/.f64 (fma.f64 y y -1) (-.f64 -1 y)))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 y 3)) (+.f64 1 (fma.f64 y y y))))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (-.f64 -1 (fma.f64 y y y))))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 x (neg.f64 y) x))))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(/.f64 (neg.f64 (.f64 x (-.f64 1 (.f64 y y)))) (-.f64 -1 y))
(.f64 (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)) x)
(.f64 x (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)))
(*.f64 x (/.f64 (fma.f64 y y -1) (-.f64 -1 y)))
(/.f64 (neg.f64 (*.f64 x (-.f64 1 (pow.f64 y 3)))) (-.f64 -1 (fma.f64 y y y)))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 y 3)) (+.f64 1 (fma.f64 y y y))))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (-.f64 -1 (fma.f64 y y y))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 x x))) (+.f64 x (*.f64 x y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) x) x)) (+.f64 x (*.f64 x y)))
(/.f64 (.f64 x (-.f64 x (.f64 x (*.f64 y y)))) (fma.f64 x y x))
(/.f64 x (/.f64 (fma.f64 x y x) (*.f64 (fma.f64 y y -1) (neg.f64 x))))
(/.f64 (.f64 x (+.f64 (.f64 y y) -1)) (-.f64 -1 y))
(.f64 (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)) x)
(.f64 x (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)))
(*.f64 x (/.f64 (fma.f64 y y -1) (-.f64 -1 y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (-.f64 -1 (fma.f64 y y y)))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 y 3)) (+.f64 1 (fma.f64 y y y))))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (-.f64 -1 (fma.f64 y y y))))
(/.f64 (/.f64 (.f64 x (-.f64 1 (.f64 y y))) (-.f64 1 (*.f64 y y))) (/.f64 1 (-.f64 1 y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (.f64 x y)) 3)) (fma.f64 x x (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x (neg.f64 (.f64 x y))))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 x (.f64 (neg.f64 x) y)))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (neg.f64 x) y) 3))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 x x (fma.f64 y (.f64 x (.f64 x y)) (.f64 x (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x (fma.f64 x (.f64 y y) (.f64 x y)) (.f64 x x)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 1 (-.f64 1 y))))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(/.f64 (neg.f64 (neg.f64 (.f64 x (-.f64 1 (.f64 y y))))) (+.f64 1 y))
(.f64 (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)) x)
(.f64 x (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)))
(*.f64 x (/.f64 (fma.f64 y y -1) (-.f64 -1 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 1 (pow.f64 y 3))))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 y 3)) (+.f64 1 (fma.f64 y y y))))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (-.f64 -1 (fma.f64 y y y))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 x x)))) (neg.f64 (+.f64 x (*.f64 x y))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) x) x)) (+.f64 x (*.f64 x y)))
(/.f64 (.f64 x (-.f64 x (.f64 x (*.f64 y y)))) (fma.f64 x y x))
(/.f64 x (/.f64 (fma.f64 x y x) (*.f64 (fma.f64 y y -1) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 y y) -1))) (+.f64 1 y))
(.f64 (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)) x)
(.f64 x (/.f64 (-.f64 1 (.f64 y y)) (+.f64 y 1)))
(*.f64 x (/.f64 (fma.f64 y y -1) (-.f64 -1 y)))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (fma.f64 y y y)) x))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 y 3)) (+.f64 1 (fma.f64 y y y))))
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (-.f64 -1 (fma.f64 y y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (.f64 x y)) 3))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x (neg.f64 (.f64 x y)))))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 y y) x) x) (.f64 x (.f64 (neg.f64 x) y)))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (neg.f64 x) y) 3))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 x x (fma.f64 y (.f64 x (.f64 x y)) (.f64 x (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (.f64 x y) 3)) (fma.f64 x (fma.f64 x (.f64 y y) (.f64 x y)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x x)) (.f64 x x)) (-.f64 (neg.f64 (*.f64 x y)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) x) x)) (+.f64 x (*.f64 x y)))
(/.f64 (.f64 x (-.f64 x (.f64 x (*.f64 y y)))) (fma.f64 x y x))
(/.f64 x (/.f64 (fma.f64 x y x) (*.f64 (fma.f64 y y -1) (neg.f64 x))))
(pow.f64 (/.f64 1 (fma.f64 x (neg.f64 y) x)) -1)
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(fma.f64 x 1 (neg.f64 (*.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(fma.f64 1 x (neg.f64 (*.f64 x y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(fma.f64 (neg.f64 y) x x)
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(fma.f64 -1 (*.f64 x y) x)
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(fma.f64 (*.f64 x -1) y x)
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(exp.f64 (log.f64 (*.f64 x (-.f64 1 y))))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(log.f64 (exp.f64 (*.f64 x (-.f64 1 y))))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(.f64 (sqrt.f64 (.f64 x (-.f64 1 y))) (sqrt.f64 (*.f64 x (-.f64 1 y))))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1 y))))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1 y))))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(.f64 1 (.f64 x (-.f64 1 y)))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(.f64 (.f64 (cbrt.f64 (.f64 x (-.f64 1 y))) (cbrt.f64 (.f64 x (-.f64 1 y)))) (cbrt.f64 (*.f64 x (-.f64 1 y))))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(cbrt.f64 (.f64 (.f64 (.f64 x (-.f64 1 y)) (.f64 x (-.f64 1 y))) (*.f64 x (-.f64 1 y))))
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(pow.f64 (*.f64 x (-.f64 1 y)) 1)
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1 y))))
(binary32->binary64 (binary64->binary32 (-.f64 x (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1 y))))
(binary32->binary64 (binary64->binary32 (-.f64 x (*.f64 x y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (-.f32 1 (binary64->binary32 y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1 y))))
(binary32->binary64 (binary64->binary32 (-.f64 x (*.f64 x y))))
(binary32->binary64 (binary64->binary32 (*.f64 x (-.f64 1 y))))
(binary32->binary64 (binary64->binary32 (-.f64 x (*.f64 x y))))
(binary32->binary64 (*.f32 (binary64->binary32 x) (-.f32 1 (binary64->binary32 y))))

eval28.0ms (1.8%)

Compiler: Compiled 1475 to 800 computations (45.8% saved)

prune13.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	3	91

Accuracy

100.0%

Counts

91 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(*.f64 (neg.f64 x) y)
✓	100.0%	(*.f64 x (-.f64 1 y))
	51.4%	x
▶	51.2%	(*.f64 (neg.f64 x) y)
✓	100.0%	(*.f64 x (-.f64 1 y))
	51.4%	x

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize24.0ms (1.6%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.2%	(*.f64 (neg.f64 x) y)
✓	100.0%	(*.f64 x (-.f64 1 y))
	51.4%	x
✓	51.2%	(*.f64 (neg.f64 x) y)
✓	100.0%	(*.f64 x (-.f64 1 y))
	51.4%	x

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.2%	(*.f64 (neg.f64 x) y)
✓	100.0%	(*.f64 x (-.f64 1 y))
	51.4%	x
✓	51.2%	(*.f64 (neg.f64 x) y)
✓	100.0%	(*.f64 x (-.f64 1 y))
	51.4%	x

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.2%	(*.f64 (neg.f64 x) y)
✓	100.0%	(*.f64 x (-.f64 1 y))
	51.4%	x

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes15.0ms (1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 1 y))

Outputs
(*.f64 x (-.f64 1 y))

Calls

4 calls:

4.0ms	(-.f64 1 y)
3.0ms	x
3.0ms	y
3.0ms	(*.f64 x (-.f64 1 y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 x (-.f64 1 y))`
100.0%	1	`(-.f64 1 y)`

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes86.0ms (5.6%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 (neg.f64 x) y)

Outputs
(*.f64 (neg.f64 x) y)
x
(*.f64 (neg.f64 x) y)

Calls

2 calls:

77.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
67.8%	11	`x`
98.4%	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0.4%)

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	x
3.0ms	y

Results

Accuracy	Segments	Branch
51.4%	1	`x`
51.4%	1	`y`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch28.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.010596524313432866	35.13620709035846
16.0ms	-763.1776809326353	-5.657023883214855e-18

Results

24.0ms

304×

body

256

valid

Compiler

Compiled 221 to 161 computations (27.1% saved)

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
8×	`+-commutative`
6×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	36	51
2	45	51
3	52	51
4	54	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (-.f64 1 y))
(if (<=.f64 y -1) (.f64 (neg.f64 x) y) (if (<=.f64 y 1) x (.f64 (neg.f64 x) y)))
x

Outputs
(*.f64 x (-.f64 1 y))
(if (<=.f64 y -1) (.f64 (neg.f64 x) y) (if (<=.f64 y 1) x (.f64 (neg.f64 x) y)))
(if (or (<=.f64 y -1) (not (<=.f64 y 1))) (neg.f64 (*.f64 x y)) x)
(if (or (<=.f64 y -1) (not (<=.f64 y 1))) (*.f64 x (neg.f64 y)) x)
x

Compiler

Compiled 26 to 18 computations (30.8% saved)

soundness92.0ms (6%)

Rules

1318×	`times-frac`
992×	`associate-*r/`
986×	`associate-/l*`
800×	`associate-/r*`
697×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2187
1	503	2077
2	1805	2001

Stop Event

1×	node limit

Compiler

Compiled 15 to 8 computations (46.7% saved)

end0.0ms (0%)

preprocess32.0ms (2.1%)

Compiler: Compiled 58 to 38 computations (34.5% saved)

analyze0.0ms (0%)

sample855.0ms (55.6%)

preprocess77.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize99.0ms (6.4%)

series3.0ms (0.2%)

rewrite86.0ms (5.6%)

simplify77.0ms (5%)

eval28.0ms (1.8%)

prune13.0ms (0.8%)

localize24.0ms (1.6%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes15.0ms (1%)

regimes86.0ms (5.6%)

regimes6.0ms (0.4%)

bsearch28.0ms (1.8%)

simplify9.0ms (0.6%)

soundness92.0ms (6%)

end0.0ms (0%)

preprocess32.0ms (2.1%)

Profiling