math.square on complex, imaginary part

Time bar (total: 1.3s)

analyze0.0ms (0%)

Algorithm
1×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 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)

sample837.0ms (65.8%)

Results
518.0ms7229×0valid
71.0ms1027×0infinite
Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-mult: 158.0ms (73% of total)
ival-add: 47.0ms (21.7% of total)
const: 7.0ms (3.2% of total)
backward-pass: 3.0ms (1.4% of total)
Bogosity

preprocess281.0ms (22.1%)

Algorithm
1×egg-herbie
Rules
223×fma-define
93×fma-neg
34×distribute-lft-neg-in
30×associate-*r*
28×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022205
150141
292133
3239133
4465133
5718133
6720133
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 re im) (*.f64 im re))
(+.f64 (*.f64 re im) (*.f64 im re))
(+.f64 (*.f64 (neg.f64 re) im) (*.f64 im (neg.f64 re)))
(+.f64 (*.f64 re (neg.f64 im)) (*.f64 (neg.f64 im) re))
(neg.f64 (+.f64 (*.f64 (neg.f64 re) im) (*.f64 im (neg.f64 re))))
(neg.f64 (+.f64 (*.f64 re (neg.f64 im)) (*.f64 (neg.f64 im) re)))
(+.f64 (*.f64 im re) (*.f64 re im))
Outputs
(+.f64 (*.f64 re im) (*.f64 im re))
(*.f64 im (+.f64 re re))
(+.f64 (*.f64 re im) (*.f64 im re))
(*.f64 im (+.f64 re re))
(+.f64 (*.f64 (neg.f64 re) im) (*.f64 im (neg.f64 re)))
(*.f64 im (*.f64 re #s(literal -2 binary64)))
(+.f64 (*.f64 re (neg.f64 im)) (*.f64 (neg.f64 im) re))
(*.f64 im (*.f64 re #s(literal -2 binary64)))
(neg.f64 (+.f64 (*.f64 (neg.f64 re) im) (*.f64 im (neg.f64 re))))
(*.f64 im (+.f64 re re))
(neg.f64 (+.f64 (*.f64 re (neg.f64 im)) (*.f64 (neg.f64 im) re)))
(*.f64 im (+.f64 re re))
(+.f64 (*.f64 im re) (*.f64 re im))
(*.f64 im (+.f64 re re))
Symmetry

(negabs re)

(negabs im)

(sort re im)

explain59.0ms (4.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-im
00-0-re
00-0-(+.f64 (*.f64 re im) (*.f64 im re))
00-0-(*.f64 re im)
00-0-(*.f64 im re)
Results
36.0ms458×256valid
4.0ms54×256infinite
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (70.2% of total)
ival-add: 2.0ms (17.5% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 im (+.f64 re re))
Compiler

Compiled 7 to 4 computations (42.9% saved)

localize25.0ms (2%)

Results
18.0ms229×256valid
2.0ms27×256infinite
Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (55.5% of total)
ival-mult: 2.0ms (55.5% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 im (+.f64 re re))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes4.0ms (0.3%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 im (+.f64 re re))
(+.f64 (*.f64 re im) (*.f64 im re))
Outputs
(*.f64 im (+.f64 re re))
Calls

3 calls:

1.0ms
im
1.0ms
re
1.0ms
(+.f64 (*.f64 re im) (*.f64 im re))
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(+.f64 (*.f64 re im) (*.f64 im re))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
11022
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 im (+.f64 re re))
Outputs
(*.f64 im (+.f64 re re))

soundness36.0ms (2.8%)

Rules
223×fma-define
93×fma-neg
34×distribute-lft-neg-in
30×associate-*r*
28×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022205
150141
292133
3239133
4465133
5718133
6720133
Stop Event
1×done
1×saturated
Compiler

Compiled 28 to 12 computations (57.1% saved)

preprocess25.0ms (2%)

Remove

(sort re im)

(negabs im)

(negabs re)

Compiler

Compiled 116 to 66 computations (43.1% saved)

end0.0ms (0%)

Profiling

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