Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2

Time bar (total: 1.4s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (79.4%)

Results
855.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 264.0ms
ival-mult: 158.0ms (59.9% of total)
ival-sub: 89.0ms (33.7% of total)
const: 14.0ms (5.3% of total)
backward-pass: 3.0ms (1.1% of total)
Bogosity

preprocess50.0ms (3.6%)

Algorithm
egg-herbie
Rules
60×fma-neg
47×fma-define
21×distribute-lft-neg-in
18×associate-*r*
15×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01688
14188
29088
319384
430284
538084
639584
739784
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
Outputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(neg.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)))
(neg.f64 (fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
Symmetry

(abs x)

explain183.0ms (13.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (*.f64 x x) #s(literal 2 binary64))
00-0-(*.f64 x x)
00-0-#s(literal 1 binary64)
00-0-#s(literal 2 binary64)
00-0-(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Results
118.0ms512×0valid
Compiler

Compiled 48 to 28 computations (41.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 95.0ms (94.5% of total)
ival-sub: 4.0ms (4% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Compiler

Compiled 8 to 6 computations (25% saved)

localize28.0ms (2%)

Results
16.0ms256×0valid
Compiler

Compiled 20 to 11 computations (45% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (77.9% of total)
ival-sub: 1.0ms (13% of total)
const: 1.0ms (13% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (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 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp
unsub-neg
sub-neg
*-commutative
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
11925
22325
32625
42925
53225
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))

soundness0.0ms (0%)

Stop Event
done
Compiler

Compiled 8 to 6 computations (25% saved)

preprocess19.0ms (1.4%)

Remove

(abs x)

Compiler

Compiled 64 to 48 computations (25% saved)

end0.0ms (0%)

Profiling

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