math.cube on complex, imaginary part

Time bar (total: 5.8s)

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 (0.4%)

Memory
1.2MiB live, 8.9MiB allocated
Samples
17.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (74.3% of total)
ival-add: 2.0ms (16.5% of total)
ival-sub: 1.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain5.5s (94.9%)

Memory
29.6MiB live, 3 485.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-0-(+.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))
180-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
130-0-(*.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-rescue240
(*.f64 x.re x.re)overflow58
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow115
(*.f64 x.im x.im)overflow75
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow116
(*.f64 x.im x.re)overflow35
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow59
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow35
(*.f64 x.re x.im)overflow35
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue180
(*.f64 x.re x.re)overflow58
(*.f64 x.im x.im)overflow75
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o130
Confusion
Predicted +Predicted -
+450
-0211
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4500
-00211
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0211
135
210
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
38.28955078125
Average Time
0.1495685577392578
Samples
1.7s23 040×0valid
Compiler

Compiled 9 810 to 2 160 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 783.0ms (72.1% of total)
ival-add: 181.0ms (16.7% of total)
ival-sub: 95.0ms (8.7% of total)
ival-true: 18.0ms (1.7% of total)
ival-assert: 8.0ms (0.7% of total)

preprocess236.0ms (4.1%)

Memory
-0.5MiB live, 43.9MiB 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
82.6%
(+.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)

simplify21.0ms (0.4%)

Memory
-0.9MiB 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 (0.2%)

Memory
-1.1MiB 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

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