_multiplyComplex, imaginary part

Time bar (total: 1.7s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 12 to 8 computations (33.3% saved)

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

sample1.5s (86.8%)

Results
1.2s6289×256valid
241.0ms1966×256infinite
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 437.0ms
Operation ival-mult, time spent: 372.0ms, 85.0% of total-time
Operation ival-add, time spent: 55.0ms, 13.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time
Bogosity

preprocess160.0ms (9.5%)

Algorithm
1×egg-herbie
Rules
452×fma-define
236×fma-neg
136×unsub-neg
90×associate-*r*
74×distribute-lft-neg-out
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x.im
00-0-(*.f64 x.re y.im)
00-0-y.im
00-0-y.re
00-0-(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
00-0-x.re
00-0-(*.f64 x.im y.re)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045464
196464
2170464
3374464
4603464
5804464
6959464
7981464
8985464
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (*.f64 (neg.f64 x.re) y.im) (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 (neg.f64 x.im) y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 x.im (neg.f64 y.re)))
(+.f64 (*.f64 x.re (neg.f64 y.im)) (*.f64 x.im y.re))
(neg.f64 (+.f64 (*.f64 (neg.f64 x.re) y.im) (*.f64 x.im y.re)))
(neg.f64 (+.f64 (*.f64 x.re y.im) (*.f64 (neg.f64 x.im) y.re)))
(neg.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im (neg.f64 y.re))))
(neg.f64 (+.f64 (*.f64 x.re (neg.f64 y.im)) (*.f64 x.im y.re)))
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(+.f64 (*.f64 y.re y.im) (*.f64 x.im x.re))
(+.f64 (*.f64 y.im x.re) (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 y.im y.re))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Outputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (*.f64 (neg.f64 x.re) y.im) (*.f64 x.im y.re))
(fma.f64 x.re (neg.f64 y.im) (*.f64 x.im y.re))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(+.f64 (*.f64 x.re y.im) (*.f64 (neg.f64 x.im) y.re))
(fma.f64 x.re y.im (*.f64 x.im (neg.f64 y.re)))
(-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 x.im (neg.f64 y.re)))
(fma.f64 x.re y.im (*.f64 x.im (neg.f64 y.re)))
(-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (*.f64 x.re (neg.f64 y.im)) (*.f64 x.im y.re))
(fma.f64 x.re (neg.f64 y.im) (*.f64 x.im y.re))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(neg.f64 (+.f64 (*.f64 (neg.f64 x.re) y.im) (*.f64 x.im y.re)))
(fma.f64 x.re y.im (*.f64 x.im (neg.f64 y.re)))
(-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(neg.f64 (+.f64 (*.f64 x.re y.im) (*.f64 (neg.f64 x.im) y.re)))
(fma.f64 x.re (neg.f64 y.im) (*.f64 x.im y.re))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(neg.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im (neg.f64 y.re))))
(fma.f64 x.re (neg.f64 y.im) (*.f64 x.im y.re))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(neg.f64 (+.f64 (*.f64 x.re (neg.f64 y.im)) (*.f64 x.im y.re)))
(fma.f64 x.re y.im (*.f64 x.im (neg.f64 y.re)))
(-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(+.f64 (*.f64 y.re y.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 y.im y.re))
(+.f64 (*.f64 y.im x.re) (*.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 y.re x.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (*.f64 x.re x.im) (*.f64 y.im y.re))
(fma.f64 x.re x.im (*.f64 y.im y.re))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(fma.f64 x.re y.re (*.f64 y.im x.im))
Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
Operation ival-mult, time spent: 14.0ms, 76.0% of total-time
Operation ival-add, time spent: 4.0ms, 22.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

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

Compiled 11 to 7 computations (36.4% saved)

localize32.0ms (1.9%)

Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 4.0ms, 70.0% of total-time
Operation ival-add, time spent: 2.0ms, 35.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 4 to 4 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 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
11731
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Outputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess25.0ms (1.5%)

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 132 to 84 computations (36.4% saved)

Profiling

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