Numeric.SpecFunctions:incompleteBetaApprox from math-functions-0.1.5.2, B

Time bar (total: 40.2s)

analyze149.0ms (0.4%)

Memory
1.5MiB live, 64.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%49.9%0.3%0%49.9%0%4
0%0%49.9%0.3%0%49.9%0%5
0%0%49.9%0.3%0%49.9%0%6
0%0%49.9%0.3%0%49.9%0%7
0%0%49.9%0.3%0%49.9%0%8
0%0%49.9%0.3%0%49.9%0%9
0%0%24.9%0.3%0%74.8%0%10
0%0%24.9%0.3%0%74.8%0%11
0%0%24.9%0.3%0%74.8%0%12
Compiler

Compiled 45 to 37 computations (17.8% saved)

sample39.9s (99.3%)

Memory
7.3MiB live, 6 497.8MiB allocated
Samples
2.2s4 419×0valid-sollya
656.0ms412×1valid-sollya
464.0ms4 419×0valid-baseline
450.0ms4 419×0valid-rival
334.0ms3 253×0valid-rival+baseline-inf
175.0ms412×1valid-baseline
153.0ms412×1valid-rival
56.0ms155×1valid-rival+baseline-inf
1.0ms3×1valid-rival+baseline-zero
1.0ms9×0valid-rival+baseline-real
1.0ms2×1valid-rival+baseline-real
0.0ms3×0valid-rival+baseline-zero
Bogosity

preprocess96.0ms (0.2%)

Memory
12.7MiB live, 28.4MiB allocated
Algorithm
1×egg-herbie
Rules
564×distribute-lft-in
436×distribute-rgt-in
410×exp-sum
361×exp-prod
283×distribute-rgt-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702160
14062070
210322070
335522054
Stop Event
1×node limit
Calls
Call 1
Inputs
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(*.f64 x (exp.f64 (+.f64 (*.f64 (neg.f64 y) (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
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(neg.f64 (*.f64 x (exp.f64 (+.f64 (*.f64 (neg.f64 y) (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))))))
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Outputs
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(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 a) t)) (*.f64 z (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) a)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 a) t) (*.f64 z (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) a)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 a) t) (*.f64 z (-.f64 (log1p.f64 (neg.f64 a)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 b) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) b)) z)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 b) t) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) b)) z)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 b) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 b)) z)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) a)) (*.f64 t (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) a) (*.f64 t (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) a) (*.f64 t (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) b)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) t)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) b) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) t)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) b) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) t)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 b (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) a)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) a)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (-.f64 (log1p.f64 (neg.f64 z)) a)))))
Symmetry

(negabs x)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 6 to 6 computations (0% saved)

prune1.0ms (0%)

Memory
-14.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
Compiler

Compiled 48 to 34 computations (29.2% saved)

simplify3.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×egg-herbie
Rules
7×+-commutative
6×sub-neg
6×*-commutative
3×1-exp
3×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02776
14276
25276
35876
46176
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
Outputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))

soundness0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Stop Event
1×fuel
Compiler

Compiled 24 to 17 computations (29.2% saved)

preprocess20.0ms (0%)

Memory
9.5MiB live, 25.1MiB allocated
Remove

(negabs x)

Compiler

Compiled 192 to 136 computations (29.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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