math.square on complex, imaginary part

Time bar (total: 879.0ms)

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)

sample684.0ms (77.8%)

Results
591.0ms7204×body256valid
82.0ms1052×body256infinite
Bogosity

preprocess50.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
572×fma-def
78×associate-*r*
46×sub-neg
42×unsub-neg
42×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01776
13660
26152
312352
424152
540652
660252
771552
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.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))
(+.f64 (*.f64 im re) (*.f64 re im))
Outputs
(+.f64 (*.f64 re im) (*.f64 im re))
(fma.f64 re im (*.f64 re im))
(*.f64 im (+.f64 re re))
(*.f64 re (+.f64 im im))
(+.f64 (*.f64 (neg.f64 re) im) (*.f64 im (neg.f64 re)))
(fma.f64 (neg.f64 re) im (*.f64 im (neg.f64 re)))
(*.f64 (neg.f64 re) (+.f64 im im))
(*.f64 re (*.f64 im -2))
(+.f64 (*.f64 re (neg.f64 im)) (*.f64 (neg.f64 im) re))
(fma.f64 (neg.f64 re) im (*.f64 im (neg.f64 re)))
(*.f64 (neg.f64 re) (+.f64 im im))
(*.f64 re (*.f64 im -2))
(+.f64 (*.f64 im re) (*.f64 re im))
(fma.f64 re im (*.f64 re im))
(*.f64 im (+.f64 re re))
(*.f64 re (+.f64 im im))
Symmetry

(sort re im)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
8×*-commutative
8×associate-*r*
6×count-2
4×fma-def
4×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
11113
21813
32313
42913
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(+.f64 (*.f64 re im) (*.f64 im re))
Outputs
(+.f64 (*.f64 re im) (*.f64 im re))
(fma.f64 re im (*.f64 re im))
(*.f64 re (+.f64 im im))

eval1.0ms (0.1%)

Compiler

Compiled 20 to 8 computations (60% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
100.0%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 re (+.f64 im im))
▶100.0%
(*.f64 re (+.f64 im im))
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize33.0ms (3.7%)

Compiler

Compiled 13 to 5 computations (61.5% 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
Accurracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 re (+.f64 im im))
Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes72.0ms (8.2%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

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

3 calls:

67.0ms
re
3.0ms
im
2.0ms
(+.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 29 to 16 computations (44.8% saved)

simplify3.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
1713
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 re (+.f64 im im))
Outputs
(*.f64 re (+.f64 im im))
Compiler

Compiled 7 to 4 computations (42.9% saved)

soundness12.0ms (1.4%)

Rules
8×*-commutative
8×associate-*r*
6×count-2
4×fma-def
4×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
11113
21813
32313
42913
Stop Event
1×saturated
Compiler

Compiled 21 to 8 computations (61.9% saved)

end0.0ms (0%)

preprocess18.0ms (2.1%)

Remove

(sort re im)

Compiler

Compiled 46 to 26 computations (43.5% saved)

Profiling

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