Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

Details

Time bar (total: 2.2s)

analyze0.0ms (0%)

Algorithm
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 14 to 11 computations (21.4% saved)

sample1.8s (81.5%)

Results
793.0ms4873×body256valid
468.0ms1341×body512valid
321.0ms1059×body1024valid
198.0ms983×body256infinite
Bogosity

preprocess147.0ms (6.7%)

Algorithm
egg-herbie
Rules
2084×fma-def
1174×fma-neg
558×sub-neg
492×associate-+l-
476×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
14754
210946
324846
456042
5123242
6231642
7350542
8386242
9388042
10388042
11453842
12453842
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1)) (*.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify74.0ms (3.4%)

Algorithm
egg-herbie
Rules
2372×fma-def
326×cancel-sign-sub-inv
288×fma-neg
264×associate-+l-
226×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01231
13027
26523
313423
427121
558021
6112921
7183121
8262821
9279321
10282021
Stop Event
saturated
Counts
1 → 5
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (-.f64 y 1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (-.f64 y 1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

eval1.0ms (0.1%)

Compiler

Compiled 51 to 36 computations (29.4% saved)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Accurracy
100.0%
Counts
6 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
100.0%
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
Compiler

Compiled 26 to 20 computations (23.1% saved)

localize126.0ms (5.7%)

Compiler

Compiled 35 to 25 computations (28.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accurracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes15.0ms (0.7%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Calls

4 calls:

3.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
3.0ms
y
3.0ms
x
2.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
100.0%1(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify12.0ms (0.6%)

Algorithm
egg-herbie
Rules
20×neg-mul-1
18×unsub-neg
16×+-commutative
16×*-commutative
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
12531
23931
35031
46731
59031
69131
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness0.0ms (0%)

end26.0ms (1.2%)

Compiler

Compiled 52 to 40 computations (23.1% saved)

Profiling

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