Metrics for System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

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 10 to 7 computations (30% saved)

sample667.0ms (42.2%)

Results

506.0ms	6236×	body	256	valid
150.0ms	2019×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess50.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-def`
142×	`unsub-neg`
130×	`associate-r`
98×	`distribute-lft-in`
78×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	42	91
2	100	91
3	291	91
4	649	91
5	1053	91
6	1203	91
7	1214	91

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 1/2 (-.f64 (.f64 x x) y))
(.f64 1/2 (-.f64 (.f64 x x) y))
(.f64 1/2 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) y))
(.f64 1/2 (-.f64 (.f64 x x) (neg.f64 y)))
(.f64 1/2 (-.f64 (.f64 y y) x))

Outputs
(.f64 1/2 (-.f64 (.f64 x x) y))
(.f64 1/2 (-.f64 (.f64 x x) y))
(.f64 1/2 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) y))
(.f64 1/2 (-.f64 (.f64 x x) y))
(.f64 1/2 (-.f64 (.f64 x x) (neg.f64 y)))
(*.f64 1/2 (fma.f64 x x y))
(.f64 1/2 (-.f64 (.f64 y y) x))

Symmetry

(abs x)

Compiler

Compiled 9 to 6 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 1/2 (-.f64 (.f64 x x) y))
▶	100.0%	(.f64 1/2 (-.f64 (.f64 x x) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize28.0ms (1.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 8 computations (61.9% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1408×	`pow1`
1308×	`add-exp-log`
1308×	`log1p-expm1-u`
1308×	`expm1-log1p-u`
1280×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1799	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

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

simplify60.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1356×	`div-sub`
1026×	`fma-neg`
790×	`fma-def`
752×	`associate-r`
676×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	965
1	251	915
2	893	915
3	4614	915

Stop Event

1×	node limit

Counts

59 → 43

Calls

Call 1

Inputs
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(*.f64 -1 y)
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 -1 y) (pow.f64 x 2))
(+.f64 (*.f64 x x) (neg.f64 y))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) 1))
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 y) 1 y))
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(+.f64 (-.f64 (*.f64 x x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (*.f64 x x))
(.f64 (-.f64 (.f64 x x) y) 1)
(.f64 1 (-.f64 (.f64 x x) y))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) y)) 2) (cbrt.f64 (-.f64 (*.f64 x x) y)))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 y (fma.f64 x x y)))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (/.f64 1 (fma.f64 x x y)))
(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))) (-.f64 (pow.f64 x 6) (pow.f64 y 3))))
(/.f64 1 (/.f64 (fma.f64 x x y) (-.f64 (pow.f64 x 4) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y))))
(/.f64 (-.f64 (pow.f64 x 4) (*.f64 y y)) (fma.f64 x x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 y (fma.f64 x x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 y y))) (neg.f64 (fma.f64 x x y)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (neg.f64 y) (neg.f64 y)) (.f64 (*.f64 x x) (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (.f64 x x) (neg.f64 y)))
(pow.f64 (-.f64 (*.f64 x x) y) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) y)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) y) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) y)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) y) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) y) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) y)))
(exp.f64 (log.f64 (-.f64 (*.f64 x x) y)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) y)))
(fma.f64 x x (neg.f64 y))
(fma.f64 1 (*.f64 x x) (neg.f64 y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (neg.f64 y))

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

eval10.0ms (0.6%)

Compiler: Compiled 536 to 264 computations (50.7% saved)

prune8.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Accuracy

100.0%

Counts

44 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓	100.0%	(.f64 1/2 (-.f64 (.f64 x x) y))
▶	53.1%	(.f64 1/2 (.f64 x x))
▶	48.9%	(*.f64 1/2 (neg.f64 y))
▶	100.0%	(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓	100.0%	(.f64 1/2 (-.f64 (.f64 x x) y))
▶	53.1%	(.f64 1/2 (.f64 x x))
▶	48.9%	(*.f64 1/2 (neg.f64 y))

Compiler

Compiled 62 to 44 computations (29% saved)

localize99.0ms (6.3%)

Compiler: Compiled 38 to 15 computations (60.5% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓	100.0%	(.f64 1/2 (-.f64 (.f64 x x) y))
✓	53.1%	(.f64 1/2 (.f64 x x))
✓	48.9%	(*.f64 1/2 (neg.f64 y))

Compiler

Compiled 56 to 36 computations (35.7% saved)

regimes19.0ms (1.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (neg.f64 y))
(.f64 1/2 (.f64 x x))
(.f64 1/2 (-.f64 (.f64 x x) y))
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))

Outputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))

Calls

5 calls:

4.0ms	(-.f64 (*.f64 x x) y)
4.0ms	y
4.0ms	(.f64 1/2 (-.f64 (.f64 x x) y))
4.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 1/2 (-.f64 (.f64 x x) y))`
100.0%	1	`(-.f64 (*.f64 x x) y)`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 52 to 31 computations (40.4% saved)

regimes18.0ms (1.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (neg.f64 y))
(.f64 1/2 (.f64 x x))
(.f64 1/2 (-.f64 (.f64 x x) y))

Outputs
(.f64 1/2 (-.f64 (.f64 x x) y))

Calls

5 calls:

3.0ms	y
3.0ms	(.f64 1/2 (-.f64 (.f64 x x) y))
3.0ms	(-.f64 (*.f64 x x) y)
3.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 1/2 (-.f64 (.f64 x x) y))`
100.0%	1	`(-.f64 (*.f64 x x) y)`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes108.0ms (6.9%)

Counts

2 → 6

Calls

Call 1

Inputs
(*.f64 1/2 (neg.f64 y))
(.f64 1/2 (.f64 x x))

Outputs
(*.f64 1/2 (neg.f64 y))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (neg.f64 y))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (neg.f64 y))
(.f64 1/2 (.f64 x x))

Calls

3 calls:

52.0ms	(*.f64 x x)
21.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
91.6%	6	`x`
70.6%	7	`y`
91.6%	6	`(*.f64 x x)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (neg.f64 y))

Outputs
(*.f64 1/2 (neg.f64 y))

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
48.9%	1	`y`
48.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch96.0ms (6.1%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.3883551093979478e+83	9.965608936988244e+88
9.0ms	20684955.94667598	115068924.59446803
12.0ms	9.302626896079053e-67	5.201465624338601e-62
46.0ms	1.0519296427696907e-91	1.6278982413530177e-90
16.0ms	9.802734669623903e-149	3.2525578819557476e-127

Results

50.0ms

640×

body

256

valid

Compiler

Compiled 534 to 450 computations (15.7% saved)

simplify11.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
12×	`not-or`
10×	`not-not`
10×	`if-not`
8×	`sub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	190
1	49	186
2	61	180
3	73	172
4	83	172
5	91	168
6	95	168
7	97	168
8	98	168

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
(.f64 1/2 (-.f64 (.f64 x x) y))
(if (<=.f64 (.f64 x x) 1084310638865597/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 1/2 (neg.f64 y)) (if (<=.f64 (.f64 x x) 7779547305438323/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (.f64 1/2 (.f64 x x)) (if (<=.f64 (.f64 x x) 5558020283391177/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 1/2 (neg.f64 y)) (if (<=.f64 (.f64 x x) 24000000) (.f64 1/2 (.f64 x x)) (if (<=.f64 (.f64 x x) 180000000000000002633525141521477145574607737815637910670149941690563345565206678863872) (.f64 1/2 (neg.f64 y)) (.f64 1/2 (.f64 x x)))))))
(*.f64 1/2 (neg.f64 y))

Outputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
(.f64 1/2 (-.f64 (.f64 x x) y))
(if (<=.f64 (.f64 x x) 1084310638865597/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 1/2 (neg.f64 y)) (if (<=.f64 (.f64 x x) 7779547305438323/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (.f64 1/2 (.f64 x x)) (if (<=.f64 (.f64 x x) 5558020283391177/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 1/2 (neg.f64 y)) (if (<=.f64 (.f64 x x) 24000000) (.f64 1/2 (.f64 x x)) (if (<=.f64 (.f64 x x) 180000000000000002633525141521477145574607737815637910670149941690563345565206678863872) (.f64 1/2 (neg.f64 y)) (.f64 1/2 (.f64 x x)))))))
(if (<=.f64 (.f64 x x) 1084310638865597/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 1/2 (neg.f64 y)) (if (<=.f64 (.f64 x x) 7779547305438323/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (.f64 1/2 (.f64 x x)) (if (<=.f64 (.f64 x x) 5558020283391177/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 1/2 (neg.f64 y)) (if (or (<=.f64 (.f64 x x) 24000000) (not (<=.f64 (.f64 x x) 180000000000000002633525141521477145574607737815637910670149941690563345565206678863872))) (.f64 1/2 (.f64 x x)) (.f64 1/2 (neg.f64 y))))))
(if (<=.f64 (.f64 x x) 1084310638865597/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 1/2 (neg.f64 y)) (if (<=.f64 (.f64 x x) 7779547305438323/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (.f64 1/2 (.f64 x x)) (if (or (<=.f64 (.f64 x x) 5558020283391177/115792089237316195423570985008687907853269984665640564039457584007913129639936) (not (or (<=.f64 (.f64 x x) 24000000) (not (<=.f64 (.f64 x x) 180000000000000002633525141521477145574607737815637910670149941690563345565206678863872))))) (.f64 1/2 (neg.f64 y)) (.f64 1/2 (*.f64 x x)))))
(if (<=.f64 (.f64 x x) 1084310638865597/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 1/2 (neg.f64 y)) (if (or (<=.f64 (.f64 x x) 7779547305438323/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (not (or (<=.f64 (.f64 x x) 5558020283391177/115792089237316195423570985008687907853269984665640564039457584007913129639936) (not (or (<=.f64 (.f64 x x) 24000000) (not (<=.f64 (.f64 x x) 180000000000000002633525141521477145574607737815637910670149941690563345565206678863872))))))) (.f64 1/2 (.f64 x x)) (*.f64 1/2 (neg.f64 y))))
(if (or (<=.f64 (.f64 x x) 1084310638865597/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (not (or (<=.f64 (.f64 x x) 7779547305438323/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (not (or (<=.f64 (.f64 x x) 5558020283391177/115792089237316195423570985008687907853269984665640564039457584007913129639936) (and (not (<=.f64 (.f64 x x) 24000000)) (<=.f64 (.f64 x x) 180000000000000002633525141521477145574607737815637910670149941690563345565206678863872))))))) (.f64 1/2 (neg.f64 y)) (.f64 1/2 (.f64 x x)))
(if (or (<=.f64 (.f64 x x) 1084310638865597/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (and (not (<=.f64 (.f64 x x) 7779547305438323/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968)) (or (<=.f64 (.f64 x x) 5558020283391177/115792089237316195423570985008687907853269984665640564039457584007913129639936) (and (not (<=.f64 (.f64 x x) 24000000)) (<=.f64 (.f64 x x) 180000000000000002633525141521477145574607737815637910670149941690563345565206678863872))))) (.f64 1/2 (neg.f64 y)) (.f64 1/2 (.f64 x x)))
(*.f64 1/2 (neg.f64 y))

Compiler

Compiled 67 to 42 computations (37.3% saved)

soundness286.0ms (18.1%)

Rules

1408×	`pow1`
1356×	`div-sub`
1356×	`div-sub`
1308×	`add-exp-log`
1308×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1799	13
0	101	965
1	251	915
2	893	915
3	4614	915
0	101	965
1	251	915
2	893	915
3	4614	915

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 39 to 28 computations (28.2% saved)

end0.0ms (0%)

preprocess51.0ms (3.2%)

Remove: (abs x)
Compiler: Compiled 158 to 90 computations (43% saved)

analyze0.0ms (0%)

sample667.0ms (42.2%)

preprocess50.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize28.0ms (1.8%)

series1.0ms (0.1%)

rewrite56.0ms (3.6%)

simplify60.0ms (3.8%)

eval10.0ms (0.6%)

prune8.0ms (0.5%)

localize99.0ms (6.3%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes19.0ms (1.2%)

regimes18.0ms (1.1%)

regimes108.0ms (6.9%)

regimes6.0ms (0.4%)

bsearch96.0ms (6.1%)

simplify11.0ms (0.7%)

soundness286.0ms (18.1%)

end0.0ms (0%)

preprocess51.0ms (3.2%)

Profiling