Metrics for quadm (p42, negative)

analyze122.0ms (5.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

sample1.7s (84.6%)

Results

649.0ms	5052×	body	256	valid
407.0ms	1053×	body	2048	valid
220.0ms	406×	body	4096	valid
193.0ms	681×	body	1024	valid
97.0ms	958×	body	256	invalid
94.0ms	730×	body	256	infinite
72.0ms	334×	body	512	valid

Bogosity

preprocess196.0ms (9.5%)

Algorithm

1×	egg-herbie

Rules

517×	`associate-/r*`
504×	`*-commutative`
421×	`fma-def`
353×	`associate-/l*`
329×	`times-frac`

Problems

112×	No Errors
76×	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))`
58×	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))`
10×	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	779
1	210	727
2	575	707
3	1862	671
4	5729	671

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 (neg.f64 a) c))))) (.f64 2 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (.f64 2 a))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 (neg.f64 a) c))))) (.f64 2 (neg.f64 a))))
(neg.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 4 (.f64 a c))))) (.f64 2 a)))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (.f64 2 a)))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))

Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a))))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a))))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 (neg.f64 a) c))))) (.f64 2 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a (neg.f64 c)))))) (.f64 2 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 -4 a))))) (.f64 a -2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b)))) (*.f64 a -2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b)))) (*.f64 a 2))
(.f64 (/.f64 1/2 a) (+.f64 b (sqrt.f64 (fma.f64 4 (.f64 a c) (*.f64 b b)))))
(/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 4 (.f64 a c))))) (.f64 2 a))
(/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 a 2))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a))))) (*.f64 a 2))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (*.f64 a 2))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (*.f64 a 2))
(.f64 (/.f64 -1/2 a) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a (neg.f64 c)))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 -4 a))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b)))) (*.f64 a 2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b)))) (*.f64 a -2))
(.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 4 (.f64 a c) (*.f64 b b)))))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 (neg.f64 a) c))))) (.f64 2 (neg.f64 a))))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a (neg.f64 c)))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 -4 a))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b)))) (*.f64 a 2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b)))) (*.f64 a -2))
(.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 4 (.f64 a c) (*.f64 b b)))))
(neg.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 4 (.f64 a c))))) (.f64 2 a)))
(/.f64 (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c)))))) (.f64 a 2))
(/.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a)))))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -4) (*.f64 b b)))) a))
(.f64 (/.f64 -1/2 a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) (/.f64 -1/2 a))
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a (neg.f64 c)))))) (.f64 2 a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a (neg.f64 c)))))) (.f64 2 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 -4 a))))) (.f64 a -2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b)))) (*.f64 a -2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 4 (.f64 a c) (.f64 b b)))) (*.f64 a 2))
(.f64 (/.f64 1/2 a) (+.f64 b (sqrt.f64 (fma.f64 4 (.f64 a c) (*.f64 b b)))))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 4 (.f64 b c))))) (.f64 2 b))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 (.f64 b c) -4)))) (*.f64 b 2))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -4))))) (*.f64 b 2))
(.f64 -1/2 (/.f64 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (*.f64 a a)))) b))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 -4 (.f64 a c))))) (.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 -4 a))))) (*.f64 c 2))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c -4) (.f64 b b)))) (*.f64 c 2))
(.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4))))) c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 4 (.f64 a b))))) (.f64 2 a))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (+.f64 (.f64 c c) (.f64 -4 (.f64 b a))))) (.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 (.f64 b a) -4)))) (*.f64 a 2))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4))))) (*.f64 a 2))
(.f64 -1/2 (/.f64 (+.f64 c (sqrt.f64 (fma.f64 c c (.f64 (*.f64 b a) -4)))) a))

Compiler

Compiled 74 to 33 computations (55.4% saved)

quadm (p42, negative)

analyze122.0ms (5.9%)

sample1.7s (84.6%)

preprocess196.0ms (9.5%)

end0.0ms (0%)

Profiling