math.log/2 on complex, imaginary part

Time bar (total: 2.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze132.0ms (6.1%)

Memory
2.5MiB live, 43.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 30 to 17 computations (43.3% saved)

sample34.0ms (1.6%)

Memory
4.3MiB live, 11.8MiB allocated
Samples
25.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 5.0ms (26.6% of total)
ival-mult: 4.0ms (21.3% of total)
ival-hypot: 4.0ms (21.3% of total)
ival-atan2: 2.0ms (10.6% of total)
ival-div: 1.0ms (5.3% of total)
ival-add: 1.0ms (5.3% of total)
ival-sub: 1.0ms (5.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.8s (81.8%)

Memory
8.2MiB live, 1 426.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-1(-1.7661539953148527e-292 2.8720067512787035e-156 2.120718426398233e-173)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
10-1(3.065502923853557e+81 -3.5221713443525926e-232 9.747101380911904e+249)(*.f64 (atan2.f64 im re) (log.f64 base))
00-0-(log.f64 base)
00-0-(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
00-0-(*.f64 re re)
00-0-(atan2.f64 im re)
00-0-im
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-re
00-0-(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
00-0-(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
00-0-#s(literal 0 binary64)
00-0-(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
00-0-(*.f64 (log.f64 base) (log.f64 base))
00-0-(*.f64 im im)
00-0-base
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1110
(+.f64 (*.f64 re re) (*.f64 im im))overflow111
(*.f64 re re)overflow68
(*.f64 im im)overflow62
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue120
(+.f64 (*.f64 re re) (*.f64 im im))underflow12
(*.f64 re re)underflow57
(*.f64 im im)underflow53
Confusion
Predicted +Predicted -
+1230
-0133
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12300
-00133
Precision?
1.0
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
0133
1123
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
12.130859375
Average Time
0.04738616943359375
Samples
388.0ms3 072×0valid
Compiler

Compiled 4 644 to 888 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-mult: 81.0ms (30.2% of total)
ival-log: 56.0ms (20.9% of total)
ival-hypot: 46.0ms (17.1% of total)
ival-atan2: 25.0ms (9.3% of total)
ival-add: 23.0ms (8.6% of total)
ival-div: 16.0ms (6% of total)
ival-sub: 14.0ms (5.2% of total)
ival-true: 2.0ms (0.7% of total)
exact: 2.0ms (0.7% of total)
adjust: 1.0ms (0.4% of total)
ival-assert: 1.0ms (0.4% of total)

preprocess207.0ms (9.5%)

Memory
-2.7MiB live, 29.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076139
1205121
243878
385163
4141763
5246163
6327363
7394463
8609763
9791963
01826
03414
15312
2768
3956
41136
51846
63986
712656
819396
924206
1029926
1138876
1246686
1356816
1468406
1571786
1673856
1775806
1877876
085956
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Compiler

Compiled 56 to 36 computations (35.7% saved)

simplify21.0ms (1%)

Memory
2.4MiB live, 18.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01828
12728
23828
34428
45428
56428
67828
78628
89028
99128
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 #s(literal 0 binary64) (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))))) (+.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))

soundness0.0ms (0%)

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

Compiled 28 to 18 computations (35.7% saved)

preprocess1.0ms (0%)

Memory
-7.3MiB live, 0.5MiB allocated
Compiler

Compiled 112 to 72 computations (35.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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