Metrics for Cubic critical, wide range

analyze424.0ms (4.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
6.8%	0%	0%	100%	0%	0%	0%	7
15.9%	0%	0%	100%	0%	0%	0%	8
23.1%	0%	0%	100%	0%	0%	0%	9
36.5%	0%	0%	100%	0%	0%	0%	10
45.4%	0%	0%	100%	0%	0%	0%	11
52.3%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 43 to 25 computations (41.9% saved)

sample9.1s (93.8%)

Results

2.2s	7178×	1	valid
947.0ms	7178×	1	valid-sollya
448.0ms	1078×	0	valid
133.0ms	1078×	0	valid-sollya
179.0ms	1040×	0	invalid
152.0ms	1040×	0	invalid-sollya

Sollya timings

Total time spent in Sollya 1.2s

Bogosity

preprocess140.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

838×	`div-sub`
712×	`fma-neg`
592×	`fma-define`
501×	`sub-neg`
393×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	779
1	176	671
2	482	671
3	1308	671
4	3657	671
5	7636	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 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 3 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 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (.f64 #s(literal 3 binary64) a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 3 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 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 #s(literal 3 binary64) b) c)))) (.f64 #s(literal 3 binary64) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) c) a)))) (.f64 #s(literal 3 binary64) c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 #s(literal 3 binary64) a) b)))) (.f64 #s(literal 3 binary64) a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 a c))))) (.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 a c))))) (.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 (neg.f64 a) c))))) (.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal -3 binary64)))
(.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal -1/3 binary64))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 a c))))) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 3 binary64) (.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
(.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal 1/3 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 3 binary64) (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 3 binary64) (.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
(.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal 1/3 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 a c))))) (.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 (neg.f64 a) c))))) (.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 3 binary64) (.f64 a c)))) b) (*.f64 a #s(literal -3 binary64)))
(.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal -1/3 binary64))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 #s(literal 3 binary64) b) c)))) (.f64 #s(literal 3 binary64) b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 #s(literal 3 binary64) (.f64 b c))))) (.f64 b #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b #s(literal -3 binary64))))) a) (*.f64 b #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c #s(literal -3 binary64))))) a) (*.f64 b #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c #s(literal -3 binary64)) (.f64 a a))) a) (*.f64 b #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) c) a)))) (.f64 #s(literal 3 binary64) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 3 binary64) (.f64 c a))))) (.f64 #s(literal 3 binary64) c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 #s(literal 3 binary64) a) b)))) (.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 #s(literal 3 binary64) a))))) (.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a #s(literal -3 binary64))))) c) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a #s(literal -3 binary64)) (.f64 c c))) c) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a #s(literal -3 binary64)) (.f64 c c)))) (*.f64 a #s(literal -3 binary64)))

Compiler

Compiled 20 to 12 computations (40% 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
	15.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Compiler

Compiled 40 to 24 computations (40% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	69
1	31	65
2	50	65
3	61	65
4	69	65
5	72	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 3 binary64) a) c)))) (.f64 #s(literal 3 binary64) a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))

(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a))

soundness0.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 19 to 11 computations (42.1% saved)

preprocess31.0ms (0.3%)

Compiler: Compiled 78 to 46 computations (41% saved)

Cubic critical, wide range

analyze424.0ms (4.4%)

sample9.1s (93.8%)

preprocess140.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

soundness0.0ms (0%)

preprocess31.0ms (0.3%)

end0.0ms (0%)

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