math.abs on complex (squared)

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)

sample918.0ms (68.2%)

Results
647.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 320.0ms
ival-mult: 228.0ms (71.2% of total)
ival-add: 81.0ms (25.3% of total)
const: 8.0ms (2.5% of total)
backward-pass: 3.0ms (0.9% of total)
Bogosity

preprocess169.0ms (12.6%)

Algorithm
1×egg-herbie
Rules
68×fma-neg
31×fma-define
19×distribute-lft-neg-in
13×unsub-neg
13×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020197
147197
2100197
3226197
4312197
5339197
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 re re) (*.f64 im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))
(+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))
(neg.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))
(neg.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))
(+.f64 (*.f64 im im) (*.f64 re re))
Outputs
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))
(fma.f64 re re (*.f64 im im))
(neg.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))
(neg.f64 (fma.f64 re re (*.f64 im im)))
(neg.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))
(neg.f64 (fma.f64 re re (*.f64 im im)))
(+.f64 (*.f64 im im) (*.f64 re re))
(fma.f64 re re (*.f64 im im))
Symmetry

(abs re)

(abs im)

(sort re im)

explain97.0ms (7.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-im
00-0-(*.f64 im im)
00-0-(*.f64 re re)
00-0-re
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
Results
76.0ms512×256valid
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.4% of total)
ival-add: 3.0ms (28% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

prune1.0ms (0%)

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

Compiled 9 to 5 computations (44.4% saved)

localize20.0ms (1.5%)

Results
14.0ms256×256valid
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (76.2% of total)
ival-add: 1.0ms (19.1% 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 (*.f64 re re) (*.f64 im im))
Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
11131
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 re re) (*.f64 im im))
Outputs
(+.f64 (*.f64 re re) (*.f64 im im))

soundness0.0ms (0%)

Stop Event
1×done
Compiler

Compiled 9 to 5 computations (44.4% saved)

preprocess138.0ms (10.2%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 144 to 80 computations (44.4% saved)

end0.0ms (0%)

Profiling

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