Falkner and Boettcher, Equation (22+)

Time bar (total: 1.2s)

analyze4.0ms (0.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 22 to 17 computations (22.7% saved)

sample970.0ms (83.9%)

Results
957.0ms8256×body256valid
1.0ms15×body256invalid
Bogosity

preprocess183.0ms (15.8%)

Algorithm
1×egg-herbie
Rules
477×associate-/r*
412×distribute-lft-neg-in
377×*-commutative
352×fma-def
325×associate-/l*
Problems
254×No Errors
2×(*.f64 6 (*.f64 v v))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031292
194272
2220252
3538252
41468252
53726236
66318236
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 (neg.f64 v) (neg.f64 v)))))))
(neg.f64 (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 (neg.f64 v) (neg.f64 v))))))))
Outputs
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 -6 (*.f64 v v)))))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))
(/.f64 4/3 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
(/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 -6 (*.f64 v v)))))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))
(/.f64 4/3 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 (neg.f64 v) (neg.f64 v)))))))
(/.f64 4 (*.f64 (*.f64 3 (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 -6 (*.f64 v v)))))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))
(/.f64 4/3 (*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(neg.f64 (/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v)))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 (neg.f64 v) (neg.f64 v))))))))
(/.f64 -4 (*.f64 (*.f64 3 (PI.f64)) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (+.f64 2 (*.f64 -6 (*.f64 v v)))))))
(/.f64 (neg.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Symmetry

(abs v)

Compiler

Compiled 87 to 53 computations (39.1% saved)

end0.0ms (0%)

Profiling

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