Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2

Time bar (total: 1.1s)

analyze58.0ms (5.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample911.0ms (82.4%)

Results
626.0ms6202×body256valid
275.0ms2054×body256infinite
Bogosity

preprocess136.0ms (12.3%)

Algorithm
egg-herbie
Rules
477×*-commutative
430×div-sub
373×distribute-lft-neg-in
364×associate-/l*
357×distribute-frac-neg
Problems
219×No Errors
37×(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042526
1164518
2588482
33075478
47396478
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (*.f64 z z) (+.f64 z 1)))
(/.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 z z) (+.f64 z 1)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (+.f64 (neg.f64 z) 1)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) (*.f64 (*.f64 z z) (+.f64 z 1))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 z z) (+.f64 z 1))))
(neg.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (+.f64 (neg.f64 z) 1))))
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1)))
(/.f64 (*.f64 z y) (*.f64 (*.f64 x x) (+.f64 x 1)))
(/.f64 (*.f64 x z) (*.f64 (*.f64 y y) (+.f64 y 1)))
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
(*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z 3))))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
(*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z 3))))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (*.f64 z z) (+.f64 z 1)))
(/.f64 x (/.f64 (*.f64 (*.f64 z z) (+.f64 z 1)) (neg.f64 y)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 (neg.f64 y) (+.f64 z 1)))
(*.f64 (neg.f64 y) (/.f64 x (fma.f64 z z (pow.f64 z 3))))
(/.f64 y (/.f64 (neg.f64 (fma.f64 z z (pow.f64 z 3))) x))
(/.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 z z) (+.f64 z 1)))
(/.f64 x (/.f64 (*.f64 (*.f64 z z) (+.f64 z 1)) (neg.f64 y)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 (neg.f64 y) (+.f64 z 1)))
(*.f64 (neg.f64 y) (/.f64 x (fma.f64 z z (pow.f64 z 3))))
(/.f64 y (/.f64 (neg.f64 (fma.f64 z z (pow.f64 z 3))) x))
(/.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (+.f64 (neg.f64 z) 1)))
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 1 (neg.f64 z))))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (-.f64 1 z)))
(/.f64 (/.f64 x (/.f64 z y)) (*.f64 z (-.f64 1 z)))
(*.f64 x (/.f64 y (-.f64 (*.f64 z z) (pow.f64 z 3))))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) (*.f64 (*.f64 z z) (+.f64 z 1))))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
(*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z 3))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 z z) (+.f64 z 1))))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
(*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z 3))))
(neg.f64 (/.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (+.f64 (neg.f64 z) 1))))
(/.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 z z) (+.f64 1 (neg.f64 z))))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 (neg.f64 y) (-.f64 1 z)))
(*.f64 y (/.f64 (/.f64 x z) (*.f64 z (+.f64 z -1))))
(/.f64 (*.f64 y x) (*.f64 (*.f64 z z) (+.f64 z 1)))
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
(*.f64 x (/.f64 y (fma.f64 z z (pow.f64 z 3))))
(/.f64 (*.f64 z y) (*.f64 (*.f64 x x) (+.f64 x 1)))
(/.f64 (*.f64 y z) (*.f64 (*.f64 x x) (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 y z) x) (*.f64 x (+.f64 x 1)))
(*.f64 y (/.f64 z (fma.f64 x x (pow.f64 x 3))))
(/.f64 (*.f64 x z) (*.f64 (*.f64 y y) (+.f64 y 1)))
(*.f64 (/.f64 x (*.f64 y y)) (/.f64 z (+.f64 y 1)))
(*.f64 z (/.f64 x (fma.f64 y y (pow.f64 y 3))))
(*.f64 x (/.f64 z (fma.f64 y y (pow.f64 y 3))))
Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 35 to 16 computations (54.3% saved)

end0.0ms (0%)

Profiling

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