Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2

Time bar (total: 1.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze61.0ms (4.1%)

Memory
5.5MiB live, 22.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%74.8%0.2%0%24.9%0%3
0%0%37.4%0.2%0%62.3%0%4
0%0%18.7%0.2%0%81.1%0%5
0%0%18.7%0.2%0%81.1%0%6
0%0%18.7%0.2%0%81.1%0%7
10%1.6%14%0.2%0%84.2%0%8
10%1.6%14%0.2%0%84.2%0%9
10%1.6%14%0.2%0%84.2%0%10
10%1.6%14%0.2%0%84.2%0%11
20%3.1%12.5%0.2%0%84.2%0%12
Compiler

Compiled 18 to 17 computations (5.6% saved)

sample39.0ms (2.6%)

Memory
-1.6MiB live, 14.0MiB allocated
Samples
21.0ms260×0valid
6.0ms75×0invalid
Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 8.0ms (44.7% of total)
ival-add: 4.0ms (22.4% of total)
ival-sub: 3.0ms (16.8% of total)
ival-mult: 2.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain1.2s (80.5%)

Memory
8.4MiB live, 915.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-3(-2.842348513684725e-275 8.128604816899516e-243 1.3326925096069741e+247 1.1453985454555124e-172 1.502886053852463e+31)(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
00-0-(log.f64 t)
00-0-a
00-0-(log.f64 (+.f64 x y))
00-0-t
00-0-(log.f64 z)
00-0-(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
00-0-z
00-0-(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
00-0-y
00-0-(+.f64 x y)
00-0-(*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t))
00-0-#s(literal 1/2 binary64)
00-0-x
00-0-(-.f64 a #s(literal 1/2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))cancellation10
Confusion
Predicted +Predicted -
+01
-1254
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-10254
Precision?
0.0
Recall?
0.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
11.951416015625
Average Time
0.046685218811035156
Samples
287.0ms3 072×0valid
Compiler

Compiled 2 304 to 744 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-log: 80.0ms (47.4% of total)
ival-add: 40.0ms (23.7% of total)
ival-sub: 26.0ms (15.4% of total)
ival-mult: 18.0ms (10.7% of total)
ival-true: 2.0ms (1.2% of total)
exact: 2.0ms (1.2% of total)
adjust: 1.0ms (0.6% of total)
ival-assert: 1.0ms (0.6% of total)

preprocess162.0ms (10.9%)

Memory
-0.5MiB live, 17.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102335
1261331
2845325
33081324
46375324
57630324
01516
02416
13716
27816
319216
447816
5145216
6252116
7335416
8367316
9369516
10369516
11375516
12376916
13376916
0376915
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(fma.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64)) (-.f64 (log.f64 (+.f64 y x)) (-.f64 t (log.f64 z))))
Symmetry

(sort x y)

Compiler

Compiled 16 to 15 computations (6.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0.1%)

Memory
-7.2MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Compiler

Compiled 32 to 30 computations (6.3% saved)

simplify22.0ms (1.5%)

Memory
2.8MiB live, 18.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01516
12316
23116
33516
43716
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
Outputs
(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a #s(literal 1/2 binary64)) (log.f64 t)))
(+.f64 (*.f64 (log.f64 t) (-.f64 a #s(literal 1/2 binary64))) (-.f64 (+.f64 (log.f64 z) (log.f64 (+.f64 y x))) t))

soundness0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Stop Event
fuel
Compiler

Compiled 16 to 15 computations (6.3% saved)

preprocess4.0ms (0.3%)

Memory
2.8MiB live, 2.8MiB allocated
Remove

(sort x y)

Compiler

Compiled 160 to 150 computations (6.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...