Cubic critical, medium range

Time bar (total: 27.4s)

analyze604.0ms (2.2%)

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
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)

sample25.7s (93.8%)

Results
4.0s6098×1valid
695.0ms6088×1valid-sollya
752.0ms2158×0valid
240.0ms2155×0valid-sollya
512.0ms1148×0invalid
149.0ms1142×0invalid-sollya
12.0ms10×1exit-sollya
1.0ms9×0exit-sollya
Sollya Eval
PtRival-outSollya-intervalSollya-pointstatusSollya statusRival itersollya-timecheck
(5.4341183227774547e-5 254.67161845572286 3.3076354216348366e-8)-6.493922333575426e-11(+nan.0 +nan.0)+nan.0validexit15.0#f
(4.99070824195137e-15 5.245022654848159e-11 7.645848141061235e-7)#f(+nan.0 +nan.0)+nan.0invalidexit00.081951#f
(505588269290624.4 773.4317435405878 1.0238411504592923e-15)-6.618824631178484e-19(-6.618824631178967e-19 -6.618824631178235e-19)+nan.0validexit00.214417#f
(982780905.3728901 2070959.4787380784 5.12973361171989e-16)-1.2384920285465097e-22(-1.5423829407631207e-22 -7.711914703815603e-23)+nan.0validexit10.245176#f
(0.0004088183195037863 3235067.352344846 4.3673516478650084e-5)-6.75001657183344e-12(+nan.0 +nan.0)+nan.0validexit15.0#f
(1.8214468991818016e-5 0.01855283554485138 373.9617699274972)#f(+nan.0 +nan.0)+nan.0invalidexit00.077074#f
(1.3749379996551376e-15 1.797053400955258e-10 0.0023146579312636837)#f(+nan.0 +nan.0)+nan.0invalidexit00.079931#f
(1.355556776662593 555863350496911.0 328789.6518674166)-2.9574683379781825e-10(-7.504315729741414e-6 7.504315729741414e-6)-2.9574683379781814e-10validvalid10.098144#f
(250294902.27874228 0.052686402793733024 1.5156077789653961e-9)#f(+nan.0 +nan.0)+nan.0invalidexit00.142457#f
(59315457.19760013 55015912767832.77 1836082.2044837826)-1.6686828520251055e-8(-1.6686848625689564e-8 -1.6686805751005113e-8)+nan.0validexit10.192411#f
(4.708093218036873e-14 0.31067305506112713 7.813751461704134e-5)-0.00012575521652765674(-0.0001258890086022012 -0.00012550520064914572)+nan.0validexit10.248223#f
(2.5888701691335912e-5 1.787942102425531e-8 2.404514728567711e-9)#f(+nan.0 +nan.0)+nan.0invalidexit00.13012500000000002#f
(77679257.44759814 3.3282006679095814e-6 2.456157549235843e-15)#f(+nan.0 +nan.0)+nan.0invalidexit00.164151#f
(2.4512088585746348 900999405338.8998 0.23331447989912066)-1.2947537951557376e-13(-8.105476143180826e-9 8.105476143180826e-9)+nan.0validexit10.203041#f
(1.5058031664831356e-7 5.4199186329632 0.8306949571839678)-0.07663352681945566(-0.07663352682007363 -0.0766335268181536)+nan.0validexit00.196659#f
(7.17803123840771e-16 7.00512101774755e-10 1.3557613145368425e-11)-0.00967693014344201(-0.009676930143470078 -0.009676930143423189)+nan.0validexit00.12284899999999999#f
(234553629908.42474 13681599016372.545 10892.308277177743)-3.980641540603037e-10(-3.980641552059154e-10 -3.9806415249530767e-10)+nan.0validexit10.23496699999999998#f
(0.0848701740193565 1.0066426176536947 1.748741276505074e-14)-8.686008548798986e-15(-8.686459592383862e-15 -8.685607936950518e-15)+nan.0validexit10.192219#f
(3.0671821894976523e-6 82353723700842.3 1.101296604517047e-13)-6.686380135752035e-28(-0.829142631019641 0.829142631019641)+nan.0validexit10.193543#f
(1.9705350552520047e-16 9.87339950160232e-6 2.947138087992568e-13)-1.4924637089354518e-8(-1.6790984973312083e-8 -1.399248747776007e-8)+nan.0validexit10.256741#f
Sollya timings
Total time spent in Sollya 1.1s
Bogosity

preprocess201.0ms (0.7%)

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)

IterNodesCost
060779
1176671
2482671
31308671
43657671
57636671
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
StatusAccuracyProgram
28.9%
(/.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)

simplify109.0ms (0.4%)

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)

IterNodesCost
01969
13165
25065
36165
46965
57265
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))

soundness1.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 19 to 11 computations (42.1% saved)

preprocess782.0ms (2.9%)

Compiler

Compiled 78 to 46 computations (41% saved)

end0.0ms (0%)

Profiling

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