math.abs on complex

Time bar (total: 1.3s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%99.9%0%0.1%0%0%0%3
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (88.3%)

Results
1.2s8256×body256valid
Bogosity

preprocess71.0ms (5.3%)

Algorithm
egg-herbie
Rules
82×fma-def
38×associate-*r*
29×*-commutative
26×+-commutative
22×associate--r+
Problems
142×(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
114×No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02499
15299
29199
321299
437899
545699
646699
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))))
(sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
Outputs
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(hypot.f64 re im)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(hypot.f64 re im)
(sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))
(hypot.f64 re im)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))
(hypot.f64 re im)
(neg.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))))
(neg.f64 (hypot.f64 re im))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))))
(neg.f64 (hypot.f64 re im))
(sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))
(hypot.f64 re im)
Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 36 to 13 computations (63.9% saved)

eval0.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

prune1.0ms (0.1%)

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

Compiled 10 to 6 computations (40% saved)

localize17.0ms (1.3%)

Compiler

Compiled 8 to 4 computations (50% saved)

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%
(hypot.f64 re im)
Compiler

Compiled 18 to 10 computations (44.4% saved)

regimes19.0ms (1.4%)

Accuracy

Total -33.0b remaining (-∞%)

Threshold costs -33b (-∞%)

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

6 calls:

5.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
3.0ms
re
3.0ms
im
2.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
2.0ms
(*.f64 im im)
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
100.0%1(+.f64 (*.f64 re re) (*.f64 im im))
100.0%1(*.f64 re re)
100.0%1(*.f64 im im)
Compiler

Compiled 48 to 28 computations (41.7% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
Stop Event
done
saturated
Calls
Call 1
Inputs
(hypot.f64 re im)
Outputs
(hypot.f64 re im)
Compiler

Compiled 5 to 3 computations (40% saved)

soundness23.0ms (1.7%)

Rules
82×fma-def
38×associate-*r*
29×*-commutative
26×+-commutative
22×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02499
15299
29199
321299
437899
545699
646699
Stop Event
saturated
Compiler

Compiled 13 to 7 computations (46.2% saved)

end0.0ms (0%)

preprocess22.0ms (1.7%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 60 to 36 computations (40% saved)

Profiling

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