Toniolo and Linder, Equation (2)

Time bar (total: 3.7s)

analyze736.0ms (19.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
19.2%18.7%78.8%0.2%0%2.3%0%9
19.4%18.7%77.6%0.2%0%3.5%0%10
22.8%21.8%73.9%0.2%0%4.1%0%11
23.3%21.8%71.8%0.2%0%6.1%0%12
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.8s (75.6%)

Results
1.7s8256×body256valid
1.1s7139×body256invalid
Bogosity

preprocess178.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
1820×fma-def
1288×associate-*r*
992×associate-*l*
968×associate-/l*
682×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103832
1221784
2484784
31555784
47258784
Stop Event
1×node limit
Calls
Call 1
Inputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 (neg.f64 t) l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t (neg.f64 l)) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (neg.f64 Om) Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om (neg.f64 Omc)) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 l t) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 t Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Om l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om t) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Omc l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 l Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Om) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om l) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Omc) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Omc Om) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
Outputs
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 (neg.f64 t) l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t (neg.f64 l)) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t (neg.f64 l)) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (neg.f64 Om) Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om (neg.f64 Omc)) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 l t) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 l t) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 t Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Om l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 t Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 Om l) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om t) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 Omc l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om t) 2)) (fma.f64 2 (pow.f64 (/.f64 Omc l) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 l Omc) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Om) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 l Omc) 2)) (fma.f64 2 (pow.f64 (/.f64 t Om) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om l) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t Omc) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Om l) 2)) (fma.f64 2 (pow.f64 (/.f64 t Omc) 2) 1))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Omc Om) 2)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 t l) 2))))))
(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 Omc Om) 2)) (fma.f64 2 (pow.f64 (/.f64 t l) 2) 1))))
Symmetry

(abs t)

(abs Om)

(abs Omc)

Compiler

Compiled 208 to 126 computations (39.4% saved)

end0.0ms (0%)

Profiling

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