math.log/2 on complex, real part

Time bar (total: 2.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze133.0ms (6.3%)

Memory
2.6MiB 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)

sample33.0ms (1.6%)

Memory
4.0MiB live, 11.5MiB allocated
Samples
25.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log: 5.0ms (26.1% of total)
ival-mult: 4.0ms (20.9% of total)
ival-hypot: 4.0ms (20.9% of total)
ival-add: 2.0ms (10.4% of total)
ival-atan2: 2.0ms (10.4% of total)
ival-div: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.7s (81.3%)

Memory
1.3MiB live, 1 426.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-(log.f64 base)
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 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
00-0-(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
00-0-(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
00-0-#s(literal 0 binary64)
0124(-8.712766371396355e-188 -5.574747805280805e+201 7.245531139625925e-34)0-(*.f64 (atan2.f64 im re) #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 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (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
*.f64(*.f64 (atan2.f64 im re) #s(literal 0 binary64))n*u1240
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1110
(+.f64 (*.f64 re re) (*.f64 im im))overflow111
(*.f64 re re)overflow67
(*.f64 im im)overflow69
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue130
(+.f64 (*.f64 re re) (*.f64 im im))underflow13
(*.f64 re re)underflow61
(*.f64 im im)underflow61
Confusion
Predicted +Predicted -
+1240
-0132
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12400
-00132
Precision?
1.0
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
0132
2124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
12.17578125
Average Time
0.0475616455078125
Samples
386.0ms3 072×0valid
Compiler

Compiled 4 644 to 888 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-mult: 79.0ms (29% of total)
ival-log: 66.0ms (24.3% of total)
ival-hypot: 49.0ms (18% of total)
ival-add: 36.0ms (13.2% of total)
ival-atan2: 21.0ms (7.7% of total)
ival-div: 16.0ms (5.9% of total)
ival-true: 2.0ms (0.7% of total)
exact: 2.0ms (0.7% of total)
ival-assert: 1.0ms (0.4% of total)

preprocess200.0ms (9.4%)

Memory
7.1MiB live, 31.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076189
1144171
2238171
3459125
4851113
51590113
64794113
77463113
01826
03420
14318
24818
35814
46712
56812
612112
732512
8119812
9193412
10239512
11270112
12316912
13390412
14490912
15603512
16637612
17658312
18677812
19698512
084787
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #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 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
Symmetry

(abs im)

(abs re)

(sort re im)

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 (0.1%)

Memory
-7.2MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #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)

simplify20.0ms (1%)

Memory
2.3MiB live, 18.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01828
12328
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #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 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (log.f64 base) (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)

preprocess9.0ms (0.4%)

Memory
-6.4MiB live, 6.4MiB allocated
Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 448 to 288 computations (35.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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