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

Time bar (total: 1.4s)

analyze0.0ms (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 14 to 11 computations (21.4% saved)

sample894.0ms (62%)

Results
762.0ms7222×body256valid
120.0ms1034×body256infinite
Bogosity

preprocess448.0ms (31.1%)

Algorithm
1×egg-herbie
Rules
5110×fma-def
806×sub-neg
532×unsub-neg
492×associate-+l-
372×associate-+r-
Problems
256×No Errors
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
033304
198264
2250236
3784224
42333224
53829224
64358224
74495224
84521224
94525224
104572224
114632224
124656224
134656210
146623210
156623210
166623210
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.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)
(+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000)
(neg.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000))
(neg.f64 (+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.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 (*.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))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.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))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 (+.f64 y -1) (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) (neg.f64 x) (*.f64 y -1/2)))
(fma.f64 x (+.f64 1 (neg.f64 y)) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 x (-.f64 1 y) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 x (fma.f64 y (+.f64 x 1/2) -918938533204673/1000000000000000))
(+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x (+.f64 (neg.f64 y) -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (fma.f64 -1 y -1) (*.f64 y 1/2)))
(fma.f64 x (-.f64 -1 y) (fma.f64 y 1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (-.f64 1/2 x) 918938533204673/1000000000000000) x)
(neg.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000))
(neg.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 (+.f64 y -1) (neg.f64 x)) (*.f64 y 1/2))))
(-.f64 -918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) (neg.f64 x) (*.f64 y -1/2)))
(+.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x 1/2) -918938533204673/1000000000000000) x)
(neg.f64 (+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000))
(+.f64 (neg.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) -1)) (*.f64 y 1/2))) -918938533204673/1000000000000000)
(-.f64 -918938533204673/1000000000000000 (fma.f64 x (fma.f64 -1 y -1) (*.f64 y 1/2)))
(neg.f64 (fma.f64 x (-.f64 -1 y) (fma.f64 y 1/2 918938533204673/1000000000000000)))
(fma.f64 x (+.f64 y 1) (fma.f64 y -1/2 -918938533204673/1000000000000000))
(-.f64 x (fma.f64 y (-.f64 1/2 x) 918938533204673/1000000000000000))
(+.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 -1/2 (fma.f64 y (+.f64 x -1) 918938533204673/1000000000000000))
(-.f64 918938533204673/1000000000000000 (fma.f64 x (-.f64 1/2 y) y))
Compiler

Compiled 52 to 37 computations (28.8% saved)

eval1.0ms (0.1%)

Compiler

Compiled 40 to 28 computations (30% saved)

prune7.0ms (0.5%)

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)

localize48.0ms (3.4%)

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
Accuracy
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)

regimes12.0ms (0.8%)

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 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
3.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
2.0ms
y
2.0ms
x
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)

simplify4.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
13140
24540
35640
47340
59640
69740
Stop Event
1×done
1×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%)

end0.0ms (0%)

preprocess25.0ms (1.7%)

Compiler

Compiled 52 to 40 computations (23.1% saved)

Profiling

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