math.sin on complex, imaginary part

Time bar (total: 1.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
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 13 computations (7.1% saved)

sample54.0ms (3.6%)

Memory
2.9MiB live, 11.7MiB allocated
Samples
24.0ms59×2valid
12.0ms66×1valid
10.0ms135×0valid
Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-exp: 23.0ms (59.3% of total)
ival-cos: 5.0ms (12.9% of total)
adjust: 4.0ms (10.3% of total)
ival-mult: 4.0ms (10.3% of total)
ival-sub: 3.0ms (7.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.3s (85.5%)

Memory
6.7MiB live, 751.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1251(8.504765545565261e-79 -1.0195838076602861e+308)0-(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
00-0-(exp.f64 im)
00-0-#s(literal 0 binary64)
00-0-(cos.f64 re)
00-0-im
00-0-(-.f64 #s(literal 0 binary64) im)
00-0-re
00-0-(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
00-0-#s(literal 1/2 binary64)
00-0-(exp.f64 (-.f64 #s(literal 0 binary64) im))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))cancellation1250
-.f64(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))oflow-left10
Confusion
Predicted +Predicted -
+1250
-1130
Precision
0.9920634920634921
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12500
-10130
Precision?
0.9920634920634921
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
0130
1126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
8.223876953125
Average Time
0.03212451934814453
Samples
297.0ms696×2valid
148.0ms768×1valid
136.0ms1 608×0valid
Compiler

Compiled 1 536 to 552 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 458.0ms
ival-exp: 265.0ms (57.8% of total)
ival-cos: 63.0ms (13.7% of total)
ival-mult: 46.0ms (10% of total)
adjust: 44.0ms (9.6% of total)
ival-sub: 34.0ms (7.4% of total)
exact: 3.0ms (0.7% of total)
ival-true: 2.0ms (0.4% of total)
ival-assert: 1.0ms (0.2% of total)

preprocess127.0ms (8.5%)

Memory
-2.9MiB live, 9.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02959
17955
223455
373255
4167055
5230855
6251655
7278855
8305255
9324955
10329955
11330755
12330755
13330755
01112
01811
12911
25811
312911
423811
536711
654611
779411
8108411
9121911
10125411
11126111
12126111
0126111
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
Symmetry

(abs re)

(negabs im)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 24 to 22 computations (8.3% saved)

simplify20.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11811
22411
32711
42811
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))

soundness0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

preprocess16.0ms (1%)

Memory
0.1MiB live, 7.9MiB allocated
Remove

(negabs im)

(abs re)

Compiler

Compiled 218 to 180 computations (17.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...