Quadratic roots, medium range

Time bar (total: 1.6s)

analyze113.0ms (7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
7.1%0%0%100%0%0%0%5
20.8%0%0%100%0%0%0%6
29.5%0%0%100%0%0%0%7
37.5%0%0%100%0%0%0%8
50.6%0%0%100%0%0%0%9
58.2%0%0%100%0%0%0%10
63.3%0%0%100%0%0%0%11
72.3%0%0%100%0%0%0%12
Compiler

Compiled 43 to 31 computations (27.9% saved)

sample1.3s (83%)

Results
1.2s8255×body256valid
143.0ms1197×body256invalid
0.0ms1×body512valid
Bogosity

preprocess162.0ms (10%)

Algorithm
1×egg-herbie
Rules
551×fma-def
521×div-sub
451×associate-*r/
297×associate-/r*
274×associate-/l/
Problems
249×(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
6×No Errors
1×(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065779
1178675
2457671
31211671
43360671
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 (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 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) (neg.f64 c))))) (*.f64 2 a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 (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 (*.f64 4 a) c)))) (*.f64 2 a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) (neg.f64 c))))) (*.f64 2 a)))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 (neg.f64 a)) c)))) (*.f64 2 (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 (neg.f64 a)))))) (neg.f64 (*.f64 a 2)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 4 (*.f64 a c)))) b) (*.f64 a -2))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 4 c)))) b) a) -1/2)
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 4 c))))) a) 1/2)
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 a 2))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))) (*.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 a (*.f64 c -4))))) (*.f64 a 2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) (neg.f64 c))))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) (neg.f64 c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 4 c))))) a) -1/2)
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 (neg.f64 a)) c)))) (*.f64 2 (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) (neg.f64 c))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 4 c))))) a) -1/2)
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))
(/.f64 (neg.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
(/.f64 (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))))) (*.f64 a 2))
(*.f64 -1/2 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b)))) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))) a) -1/2)
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) (neg.f64 c))))) (*.f64 2 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 4 (neg.f64 a)))))) (neg.f64 (*.f64 a 2)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 4 (*.f64 a c)))) b) (*.f64 a -2))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 4 c)))) b) a) -1/2)
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 4 c))))) a) 1/2)
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 4 b) c)))) (*.f64 2 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 c (*.f64 b 4))))) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -4)))) a) (*.f64 b 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -4)))) a) (*.f64 b 2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 c) a)))) (*.f64 2 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 a (*.f64 4 c))))) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -4) (*.f64 b b))) b) (*.f64 c 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4)))) b) (*.f64 c 2))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 4 a) b)))) (*.f64 2 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b (*.f64 4 a))))) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -4)))) c) (*.f64 a 2))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -4) (*.f64 c c))) c) (*.f64 a 2))
Compiler

Compiled 74 to 39 computations (47.3% saved)

end0.0ms (0%)

Profiling

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