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

Time bar (total: 4.6min)

analyze377.0ms (0.1%)

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 25 to 18 computations (28% saved)

sample4.6min (99.8%)

Results
4.7s7645×0valid-rival
1.2s4057×0valid-sollya
17.7s3531×0exit-sollya
998.0ms611×1valid-rival
350.0ms328×1valid-sollya
1.4s279×1exit-sollya
1.2s59×0invalid-sollya
79.0ms4×1invalid-sollya
0.0ms2×0invalid-rival
Bogosity

preprocess205.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
564×distribute-lft-in
436×distribute-rgt-in
410×exp-sum
361×exp-prod
335×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702160
14062070
210322070
335512054
Stop Event
1×node limit
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)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
(*.f64 (neg.f64 x) (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
(*.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)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 (neg.f64 z)) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (neg.f64 z))) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) (neg.f64 t))) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 (neg.f64 a) (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) (neg.f64 b))))))
(neg.f64 (*.f64 (neg.f64 x) (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))))))
(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))))))
(neg.f64 (*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 (neg.f64 z)) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (neg.f64 z))) b))))))
(neg.f64 (*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) (neg.f64 t))) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))))))
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(*.f64 y (exp.f64 (+.f64 (*.f64 x (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
(*.f64 z (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 x) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) b)))))
(*.f64 t (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) x)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
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(*.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 (+.f64 (*.f64 y (-.f64 (log.f64 z) b)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) 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)))))
Outputs
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(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
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(*.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)

eval1.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

prune5.0ms (0%)

Alt Table
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StatusAccuracyProgram
93.9%
(*.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)

simplify8.0ms (0%)

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)))))

soundness2.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 24 to 17 computations (29.2% saved)

preprocess70.0ms (0%)

Remove

(negabs x)

Compiler

Compiled 192 to 136 computations (29.2% saved)

end0.0ms (0%)

Profiling

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