Cubic critical, narrow range

Time bar (total: 23.4s)

analyze559.0ms (2.4%)

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
0%0%0%100%0%0%0%7
2.3%0%0%100%0%0%0%8
11.3%0%0%100%0%0%0%9
21.1%0%0%100%0%0%0%10
28%0%0%100%0%0%0%11
40.1%0%0%100%0%0%0%12
Compiler

Compiled 43 to 25 computations (41.9% saved)

sample22.5s (96.2%)

Results
1.7s4184×0valid
461.0ms4182×0valid-sollya
3.3s4072×1valid
456.0ms4063×1valid-sollya
584.0ms1328×0invalid
165.0ms1326×0invalid-sollya
7.0ms9×1exit-sollya
6.0ms4×0exit-sollya
Sollya Eval
PtRival-outSollya-intervalSollya-pointstatusSollya statusRival itersollya-timecheck
(2.8298943540065156e-8 136349.71541540764 3.046203523735038e-7)-1.1170553288117878e-12(-1.6738969654565045e-7 1.6738969654565045e-7)+nan.0validexit10.20907799999999999#f
(0.026840270786939575 3410.7486302351554 3.6663069130321954e-7)-5.3746366421312946e-11(-5.3751239118207806e-11 -5.374572390795558e-11)+nan.0validexit10.202771#f
(0.00012050632451789364 295151.517403151 3.5669138249498003e-6)-6.0425131070522495e-12(+nan.0 +nan.0)+nan.0validexit15.0#f
(0.0002105503104618396 237.36246275943486 3.5561554788735578e-6)-7.490981171858103e-9(-7.491006356365924e-9 -7.490962415046065e-9)+nan.0validexit10.208636#f
(1.0432139944348926 0.010530588203139115 0.000806732307484683)#f(+nan.0 +nan.0)+nan.0invalidexit00.126429#f
(262827.047520772 136058.0362966453 15.239933996825615)-5.601436106590071e-5(-5.6014361065900725e-5 -5.601436106590069e-5)+nan.0validexit00.25288099999999997#f
(0.015840610037500282 988565.1285629057 45563.06989068466)-0.023045052166749052(-0.023045052167643132 -0.023045052165250823)+nan.0validexit10.123716#f
(2.9364982620762857e-7 1366928.975514648 10995270.04547373)-4.021887838520749(-4.021887939685538 -4.02188768158484)+nan.0validexit10.24374600000000002#f
(2.22198980807503e-7 878892.0553500884 7904.401769518662)-0.0044967989649025335(-0.004496841583629548 -0.00449667103553596)+nan.0validexit10.112558#f
(1.4101999355030654e-7 3.1697022299676537e-6 5.2825342540497265e-5)#f(+nan.0 +nan.0)+nan.0invalidexit00.123924#f
(0.17533409171258243 6709531.1659941245 5.908635918852065e-8)-4.403166013147661e-15(-8.64534950475978e-13 8.64534950475978e-13)+nan.0validexit10.253203#f
(0.03884365573806398 22473900.0882831 1.8973795656070325e-7)-4.221295721155766e-15(-1.5609493742572553e-11 1.5609493742572553e-11)+nan.0validexit10.214954#f
(1.0596687822020452 172578.63856707682 845.3672394935154)-0.0024492233383647667(+nan.0 +nan.0)+nan.0validexit05.0#f
Sollya timings
Total time spent in Sollya 1.1s
Bogosity

preprocess295.0ms (1.3%)

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
58.3%
(/.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)

simplify5.0ms (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)

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))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 19 to 11 computations (42.1% saved)

preprocess33.0ms (0.1%)

Compiler

Compiled 78 to 46 computations (41% saved)

end0.0ms (0%)

Profiling

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