Metrics for Quadratic roots, full range

analyze387.0ms (2.9%)

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)

sample12.6s (94.8%)

Results

1.1s	5437×	0	valid-rival
661.0ms	5431×	0	valid-sollya
1.1s	2021×	2	valid-rival
460.0ms	2019×	2	valid-sollya
192.0ms	954×	0	invalid-rival
511.0ms	952×	0	invalid-sollya
282.0ms	798×	1	valid-rival
121.0ms	797×	1	valid-sollya
40.0ms	8×	0	exit-sollya
10.0ms	2×	2	exit-sollya
5.0ms	1×	1	exit-sollya

Bogosity

preprocess276.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

837×	`div-sub`
698×	`fma-neg`
688×	`fma-define`
507×	`sub-neg`
395×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	779
1	186	671
2	513	671
3	1362	671
4	3699	671
5	7725	671

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 2 binary64) (neg.f64 a))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 #s(literal 4 binary64) b) c)))) (.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) c) a)))) (.f64 #s(literal 2 binary64) c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 #s(literal 4 binary64) a) b)))) (.f64 #s(literal 2 binary64) a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 2 binary64) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 (neg.f64 a) c))))) (neg.f64 (.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a) #s(literal 1/2 binary64))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (*.f64 a c))))) a))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b)))) a) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 2 binary64) (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (*.f64 a c))))) a))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b)))) a) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (neg.f64 (.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))) a))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))) a) #s(literal -1/2 binary64))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c #s(literal -4 binary64)))))) a) #s(literal -1/2 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 #s(literal 2 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 (neg.f64 a) c))))) (neg.f64 (.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))) b) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 #s(literal 4 binary64) b) c)))) (.f64 #s(literal 2 binary64) b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (.f64 b c))))) (.f64 b #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b #s(literal -4 binary64))))) a) (*.f64 b #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 b #s(literal -4 binary64)) (.f64 a a))) a) (*.f64 b #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c #s(literal -4 binary64)) (.f64 a a))) a) (*.f64 b #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) c) a)))) (.f64 #s(literal 2 binary64) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 c a))))) (.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 c #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64))))) b) (*.f64 c #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 #s(literal 4 binary64) a) b)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 #s(literal 4 binary64) a))))) (.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a #s(literal -4 binary64))))) c) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a #s(literal -4 binary64)) (.f64 c c))) c) (*.f64 a #s(literal 2 binary64)))
(/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a #s(literal -4 binary64)) (.f64 c c)))) (*.f64 a #s(literal -2 binary64)))

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 40 to 28 computations (30% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	69
1	34	65
2	53	65
3	64	65
4	72	65
5	75	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 a #s(literal 2 binary64)))

(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64)))

soundness0.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess29.0ms (0.2%)

Compiler: Compiled 78 to 54 computations (30.8% saved)

Quadratic roots, full range

analyze387.0ms (2.9%)

sample12.6s (94.8%)

preprocess276.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

soundness0.0ms (0%)

preprocess29.0ms (0.2%)

end0.0ms (0%)

Profiling