math.cube on complex, imaginary part

Time bar (total: 1.4s)

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 21 to 13 computations (38.1% saved)

sample23.0ms (1.7%)

Memory
0.3MiB live, 9.0MiB allocated
Samples
16.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (69.1% of total)
ival-add: 2.0ms (17.3% of total)
ival-sub: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain1.1s (78.3%)

Memory
9.8MiB live, 948.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-0-(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
130-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
90-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
00-0-(*.f64 x.re x.im)
00-0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))nan-rescue260
(*.f64 x.re x.re)overflow52
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow105
(*.f64 x.im x.im)overflow66
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow115
(*.f64 x.im x.re)overflow30
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow65
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow30
(*.f64 x.re x.im)overflow30
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue130
(*.f64 x.re x.re)overflow52
(*.f64 x.im x.im)overflow66
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o90
Confusion
Predicted +Predicted -
+400
-0216
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4000
-00216
Precision?
1.0
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
0216
132
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
7.9560546875
Average Time
0.031078338623046875
Samples
215.0ms3 072×0valid
Compiler

Compiled 2 592 to 552 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-mult: 100.0ms (72.4% of total)
ival-add: 23.0ms (16.7% of total)
ival-sub: 13.0ms (9.4% of total)
ival-true: 2.0ms (1.4% of total)
ival-assert: 1.0ms (0.7% of total)

preprocess244.0ms (17.5%)

Memory
-5.1MiB live, 44.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031107
19989
229285
3125957
4311155
5513355
6604855
7643355
8655355
9665755
10666455
11774755
01119
02019
13417
26517
315111
435811
5101011
6192911
7482911
8719411
0810711
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% 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
84.4%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 38 to 22 computations (42.1% saved)

simplify20.0ms (1.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
12119
22919
33319
43519
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im))

soundness0.0ms (0%)

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

Compiled 19 to 10 computations (47.4% saved)

preprocess14.0ms (1%)

Memory
-5.3MiB live, 6.5MiB allocated
Remove

(negabs x.im)

(abs x.re)

Compiler

Compiled 262 to 144 computations (45% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...