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

Time bar (total: 15.7s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample15.2s (96.8%)

Results
1.4s8256×0valid-rival
754.0ms8181×0valid-sollya
375.0ms75×0exit-sollya
Bogosity

preprocess409.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
407×fma-neg
339×unsub-neg
333×fma-define
218×distribute-lft-in
147×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024220
169204
2234196
3802195
41698195
52449195
62693195
72694195
82694195
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (*.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (neg.f64 y)))
(*.f64 x (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 x (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 (*.f64 x (neg.f64 y)) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (*.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(*.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x (*.f64 y (+.f64 y #s(literal 1 binary64))))
(*.f64 x (fma.f64 y y y))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) x)))
Symmetry

(negabs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify27.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×1-exp
3×*-commutative
2×sub-neg
2×+-commutative
1×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
12128
22528
32728
42828
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))

soundness1.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 9 to 6 computations (33.3% saved)

preprocess55.0ms (0.3%)

Remove

(negabs x)

Compiler

Compiled 72 to 48 computations (33.3% saved)

end0.0ms (0%)

Profiling

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