_divideComplex, imaginary part

Time bar (total: 15.2s)

analyze34.0ms (0.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 20 to 12 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 11.0ms (70.7% of total)
ival-sub: 2.0ms (12.9% of total)
ival-add: 2.0ms (12.9% of total)
ival-div: 1.0ms (6.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.9s (12.5%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 553.0ms (50.8% of total)
ival-div: 434.0ms (39.9% of total)
ival-sub: 47.0ms (4.3% of total)
ival-add: 43.0ms (3.9% of total)
const: 8.0ms (0.7% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess348.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1255×fma-define
795×fma-neg
518×div-sub
436×unsub-neg
415×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0701024
1237992
2469992
31150992
43391992
55801992
66625992
76734992
86754992
96770992
107716992
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 (neg.f64 x.re) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im))))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 (neg.f64 x.re) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x.im) y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im)))))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im x.re) (*.f64 y.re y.im)) (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 x.re x.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (+.f64 (*.f64 x.im x.im) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.im y.re) (*.f64 x.re x.im)) (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (+.f64 (*.f64 y.im y.im) (*.f64 y.re y.re)))
Outputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 (neg.f64 x.re) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im))))
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 (neg.f64 x.re) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x.im) y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im))))
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im)))))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 y.re x.re)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im x.re) (*.f64 y.re y.im)) (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im x.re) (*.f64 y.re y.im)) (fma.f64 x.re x.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 x.re x.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 x.re x.re)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 x.re x.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (+.f64 (*.f64 x.im x.im) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 x.im x.im (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 x.im x.im (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.im y.re) (*.f64 x.re x.im)) (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))
(/.f64 (-.f64 (*.f64 y.re y.im) (*.f64 x.im x.re)) (fma.f64 y.re y.re (*.f64 x.im x.im)))
(/.f64 (-.f64 (*.f64 y.re y.im) (*.f64 x.im x.re)) (fma.f64 x.im x.im (*.f64 y.re y.re)))
(/.f64 (fma.f64 x.im (neg.f64 x.re) (*.f64 y.re y.im)) (fma.f64 x.im x.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (+.f64 (*.f64 y.im y.im) (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re (neg.f64 x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))

explain141.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1102(-5.350986399285152e-162 -5.8358872556476885e-236 -1.916739883402387e-294 1.6917363284764362e+161)1(1.7490288978467349e-183 2.1940892131955473e-86 4.83264527338801e-162 -1.0703988718562527e-243)(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
10-0-(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
00-0-x.im
00-0-y.im
00-0-y.re
00-0-x.re
00-0-(*.f64 y.im y.im)
00-0-(*.f64 x.im y.re)
00-0-(*.f64 x.re y.im)
00-0-(*.f64 y.re y.re)
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
Results
56.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 14.0ms (59.8% of total)
ival-div: 4.0ms (17.1% of total)
ival-sub: 3.0ms (12.8% of total)
ival-add: 3.0ms (12.8% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 32 to 16 computations (50% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.1%
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
▶59.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
▶59.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 55 to 31 computations (43.6% saved)

localize198.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 y.im)
✓cost-diff0
(*.f64 x.re (neg.f64 y.im))
✓cost-diff6336
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
✓cost-diff6336
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓cost-diff0
(*.f64 x.re y.im)
✓cost-diff0
(*.f64 x.im y.re)
✓cost-diff0
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
✓cost-diff0
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
✓cost-diff0
(*.f64 y.re y.re)
✓cost-diff0
(*.f64 x.re y.im)
✓cost-diff0
(*.f64 x.im y.re)
✓cost-diff0
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
✓accuracy100.0%
(neg.f64 y.im)
✓accuracy100.0%
(fma.f64 y.im y.im (*.f64 y.re y.re))
✓accuracy100.0%
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
✓accuracy59.4%
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓accuracy100.0%
(*.f64 x.im y.re)
✓accuracy100.0%
(fma.f64 y.re y.re (*.f64 y.im y.im))
✓accuracy99.6%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
✓accuracy59.4%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
✓accuracy100.0%
(*.f64 x.im y.re)
✓accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓accuracy99.6%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
✓accuracy59.4%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Rules
652×fma-define
499×fma-neg
318×times-frac
114×div-sub
109×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027540
146540
269540
3108540
4183540
5313540
6597540
71028540
81630540
92634540
103127540
113179540
123239540
133239540
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(*.f64 x.im y.re)
x.im
y.re
(*.f64 x.re y.im)
x.re
y.im
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(*.f64 x.im y.re)
x.im
y.re
(*.f64 x.re y.im)
x.re
y.im
(fma.f64 y.re y.re (*.f64 y.im y.im))
(*.f64 y.im y.im)
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
x.im
y.re
(*.f64 x.re (neg.f64 y.im))
x.re
(neg.f64 y.im)
y.im
(fma.f64 y.im y.im (*.f64 y.re y.re))
(*.f64 y.re y.re)
Outputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(*.f64 x.im y.re)
x.im
y.re
(*.f64 x.re y.im)
x.re
y.im
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(*.f64 x.im y.re)
x.im
y.re
(*.f64 x.re y.im)
x.re
y.im
(fma.f64 y.re y.re (*.f64 y.im y.im))
(*.f64 y.im y.im)
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
x.im
y.re
(*.f64 x.re (neg.f64 y.im))
x.re
(neg.f64 y.im)
y.im
(fma.f64 y.im y.im (*.f64 y.re y.re))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(*.f64 y.re y.re)
Results
63.0ms256×0valid
Compiler

Compiled 130 to 19 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 8.0ms (30.7% of total)
ival-fma: 8.0ms (30.7% of total)
ival-div: 5.0ms (19.2% of total)
ival-sub: 1.0ms (3.8% of total)
ival-add: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series77.0ms (0.5%)

Counts
13 → 354
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>
#<alt (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))>
#<alt (*.f64 x.im y.re)>
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))>
#<alt (fma.f64 y.re y.re (*.f64 y.im y.im))>
#<alt (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))>
#<alt (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))>
#<alt (fma.f64 y.im y.im (*.f64 y.re y.re))>
#<alt (neg.f64 y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 y.re y.re)>
#<alt (*.f64 x.re (neg.f64 y.im))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) x.re) y.im))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) x.re) y.im))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) x.re) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
Calls

102 calls:

TimeVariablePointExpression
33.0ms
x.re
@0
(/ (+ (* x.im y.re) (* x.re (neg y.im))) (+ (* y.im y.im) (* y.re y.re)))
2.0ms
x.im
@inf
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
2.0ms
x.re
@0
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.im
@0
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.im
@inf
(* x.im y.re)

rewrite455.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
922×log1p-expm1-u
922×expm1-log1p-u
297×fma-neg
139×add-exp-log
139×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027371
1394317
24633317
Stop Event
1×node limit
Counts
13 → 523
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 x.im y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
(fma.f64 y.im y.im (*.f64 y.re y.re))
(neg.f64 y.im)
(*.f64 x.re y.im)
(*.f64 y.re y.re)
(*.f64 x.re (neg.f64 y.im))
Outputs
(+.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x.im y.re) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 x.im y.re)) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.re) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im y.re) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x.im #s(literal 1 binary64)) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x.im (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y.re (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 x.im (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
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(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(neg.f64 (*.f64 x.re y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y.re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(neg.f64 (*.f64 x.re y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))

simplify711.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
413×times-frac
336×associate-*r*
335×div-sub
332×fma-define
308×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071644171
1172440878
2694940812
Stop Event
1×node limit
Counts
877 → 456
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
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(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))
(*.f64 x.im y.re)
(*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))
(*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))
(*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))
(*.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))
(*.f64 x.im y.re)
(*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))
(*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))
(*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))
(*.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))
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(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))
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(*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))
(pow.f64 y.im #s(literal 2 binary64))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
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(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (+.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(+.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(-.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))) (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.re y.im))) (-.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im)))) (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))) (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))) (-.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(exp.f64 (log.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.im y.im (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64))))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))
(*.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (+.f64 y.re y.im) (-.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y.im)
(-.f64 #s(literal 0 binary64) y.im)
(-.f64 (exp.f64 (log1p.f64 y.im)) #s(literal 1 binary64))
(*.f64 y.im #s(literal 1 binary64))
(*.f64 y.im #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y.im)
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 y.im))
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y.im)))
(*.f64 (cbrt.f64 y.im) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 y.im) (sqrt.f64 y.im))
(*.f64 (sqrt.f64 y.im) (neg.f64 (sqrt.f64 y.im)))
(*.f64 #s(literal -1 binary64) y.im)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y.im)) (sqrt.f64 y.im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y.im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y.im #s(literal 2 binary64))) y.im)
(pow.f64 y.im #s(literal 1 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 y.im) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y.im #s(literal 2 binary64)))
(fabs.f64 y.im)
(log.f64 (exp.f64 y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y.im)))
(cbrt.f64 (pow.f64 y.im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y.im))
(log1p.f64 (expm1.f64 y.im))
(exp.f64 (log.f64 y.im))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(neg.f64 (*.f64 x.re y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y.re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(neg.f64 (*.f64 x.re y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
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(/.f64 (fma.f64 x.re y.im (*.f64 y.re x.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
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(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
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(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) y.im)
y.im
(-.f64 #s(literal 0 binary64) y.im)
(neg.f64 y.im)
(-.f64 (exp.f64 (log1p.f64 y.im)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 y.im))
(*.f64 y.im #s(literal 1 binary64))
y.im
(*.f64 y.im #s(literal -1 binary64))
(neg.f64 y.im)
(*.f64 #s(literal 1 binary64) y.im)
y.im
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 y.im))
y.im
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y.im)))
(neg.f64 y.im)
(*.f64 (cbrt.f64 y.im) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
y.im
(*.f64 (sqrt.f64 y.im) (sqrt.f64 y.im))
y.im
(*.f64 (sqrt.f64 y.im) (neg.f64 (sqrt.f64 y.im)))
(neg.f64 y.im)
(*.f64 #s(literal -1 binary64) y.im)
(neg.f64 y.im)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(neg.f64 y.im)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 y.im)))
(*.f64 (neg.f64 (sqrt.f64 y.im)) (sqrt.f64 y.im))
(neg.f64 y.im)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(neg.f64 y.im)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(neg.f64 y.im)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y.im))))
(/.f64 (neg.f64 (pow.f64 y.im #s(literal 3 binary64))) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y.im #s(literal 2 binary64))) y.im)
(/.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) y.im)
(pow.f64 y.im #s(literal 1 binary64))
y.im
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1/2 binary64))
y.im
(pow.f64 (cbrt.f64 y.im) #s(literal 3 binary64))
y.im
(pow.f64 (pow.f64 y.im #s(literal 3 binary64)) #s(literal 1/3 binary64))
y.im
(pow.f64 (sqrt.f64 y.im) #s(literal 2 binary64))
y.im
(sqrt.f64 (pow.f64 y.im #s(literal 2 binary64)))
y.im
(fabs.f64 y.im)
y.im
(log.f64 (exp.f64 y.im))
y.im
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y.im)))
y.im
(cbrt.f64 (pow.f64 y.im #s(literal 3 binary64)))
y.im
(expm1.f64 (log1p.f64 y.im))
(log1p.f64 (expm1.f64 y.im))
y.im
(exp.f64 (log.f64 y.im))
y.im
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 1 binary64)))
y.im
(-.f64 #s(literal 0 binary64) (*.f64 x.re y.im))
(*.f64 x.re (neg.f64 y.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(pow.f64 (*.f64 x.re y.im) #s(literal 1 binary64))
(*.f64 x.re y.im)
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(*.f64 x.re y.im)
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.re y.im)
(pow.f64 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(*.f64 x.re y.im)
(neg.f64 (*.f64 x.re y.im))
(*.f64 x.re (neg.f64 y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(*.f64 x.re y.im)
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(*.f64 x.re y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(*.f64 x.re y.im)
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(*.f64 x.re y.im)
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(*.f64 x.re y.im)
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(*.f64 x.re y.im)
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))
(*.f64 x.re y.im)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 y.re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 y.re #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(pow.f64 y.re #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 y.re #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)))
(pow.f64 y.re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 2 binary64)))
(pow.f64 y.re #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)) #s(literal 1 binary64)))
(pow.f64 y.re #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x.re y.im))
(*.f64 x.re (neg.f64 y.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(pow.f64 (*.f64 x.re y.im) #s(literal 1 binary64))
(*.f64 x.re y.im)
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(*.f64 x.re y.im)
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.re y.im)
(pow.f64 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(*.f64 x.re y.im)
(neg.f64 (*.f64 x.re y.im))
(*.f64 x.re (neg.f64 y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(*.f64 x.re y.im)
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(*.f64 x.re y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(*.f64 x.re y.im)
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(*.f64 x.re y.im)
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(*.f64 x.re y.im)
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(*.f64 x.re y.im)
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))
(*.f64 x.re y.im)

eval121.0ms (0.8%)

Compiler

Compiled 13326 to 1729 computations (87% saved)

prune194.0ms (1.3%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New60518623
Fresh000
Picked213
Done000
Total60719626
Accuracy
100.0%
Counts
626 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.9%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
43.9%
(fma.f64 y.im (-.f64 (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))
51.6%
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
59.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
58.5%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓59.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
55.9%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
49.6%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
55.2%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
▶39.6%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
▶50.2%
(/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
49.8%
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
37.1%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
37.1%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
39.9%
(/.f64 (neg.f64 x.re) y.im)
▶46.4%
(/.f64 x.im y.re)
43.0%
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
▶39.7%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
50.0%
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (/.f64 y.im x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
Compiler

Compiled 639 to 393 computations (38.5% saved)

localize258.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
cost-diff0
(neg.f64 y.im)
✓cost-diff0
(/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
✓cost-diff0
(/.f64 y.re y.im)
✓cost-diff0
(*.f64 x.im (/.f64 y.re y.im))
✓cost-diff0
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
✓cost-diff128
(*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
✓cost-diff-12544
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓cost-diff0
(*.f64 y.im y.im)
cost-diff0
(*.f64 y.re y.re)
✓cost-diff0
(*.f64 y.re x.im)
✓cost-diff0
(/.f64 x.im y.re)
✓cost-diff0
(/.f64 x.im (hypot.f64 y.re y.im))
✓cost-diff0
(hypot.f64 y.re y.im)
✓cost-diff0
(/.f64 y.re (hypot.f64 y.re y.im))
✓cost-diff19520
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
accuracy100.0%
(neg.f64 y.im)
✓accuracy100.0%
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
✓accuracy94.0%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
✓accuracy70.7%
(/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓accuracy91.1%
(*.f64 x.im (/.f64 y.re y.im))
✓accuracy89.2%
(*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
✓accuracy59.4%
(/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓accuracy100.0%
(*.f64 y.re x.im)
✓accuracy100.0%
(*.f64 y.im y.im)
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓accuracy73.9%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓accuracy100.0%
(/.f64 x.im y.re)
✓accuracy100.0%
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓accuracy97.8%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
✓accuracy94.0%
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓accuracy70.7%
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
Rules
544×times-frac
476×fma-define
442×unsub-neg
381×associate-*r/
331×fma-neg
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
038810
176802
2156778
3325778
4648775
51246721
62634721
75589721
87498721
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
x.re
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im
y.re
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.re x.im)
y.re
x.im
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
y.im
(/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
y.im
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(*.f64 x.im (/.f64 y.re y.im))
x.im
(/.f64 y.re y.im)
y.re
x.re
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
x.re
(/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(neg.f64 y.im)
y.im
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(hypot.f64 y.im y.re)
y.re
#s(literal 2 binary64)
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 x.re))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
x.re
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im
y.re
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 y.re x.im)
y.re
x.im
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
y.im
(/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
(*.f64 y.im (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re))
(-.f64 (*.f64 y.re (*.f64 x.im #s(literal 1 binary64))) (*.f64 y.im x.re))
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
y.im
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 y.re (/.f64 x.im y.im))
x.im
(/.f64 y.re y.im)
y.re
x.re
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 x.re))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
x.re
(/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 y.im (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(neg.f64 y.im)
y.im
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(hypot.f64 y.im y.re)
(hypot.f64 y.re y.im)
y.re
#s(literal 2 binary64)
Results
108.0ms256×0valid
Compiler

Compiled 200 to 30 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-hypot: 21.0ms (30.9% of total)
ival-mult: 20.0ms (29.4% of total)
ival-div: 14.0ms (20.6% of total)
ival-pow: 5.0ms (7.4% of total)
ival-fma: 3.0ms (4.4% of total)
ival-neg: 2.0ms (2.9% of total)
ival-add: 1.0ms (1.5% of total)
ival-sub: 1.0ms (1.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series329.0ms (2.2%)

Counts
19 → 552
Calls
Call 1
Inputs
#<alt (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))>
#<alt (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))>
#<alt (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))>
#<alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 y.im y.im)>
#<alt (*.f64 y.re x.im)>
#<alt (/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))>
#<alt (*.f64 x.im (/.f64 y.re y.im))>
#<alt (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))>
#<alt (*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))>
#<alt (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))>
#<alt (/.f64 y.re (hypot.f64 y.re y.im))>
#<alt (hypot.f64 y.re y.im)>
#<alt (/.f64 x.im (hypot.f64 y.re y.im))>
#<alt (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)>
#<alt (/.f64 y.re y.im)>
Outputs
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) y.im)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 #s(literal 1 binary64) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))) y.im))>
#<alt (/.f64 #s(literal 1 binary64) y.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.im (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.im (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 6 binary64)))))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 x.re y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im))>
#<alt (/.f64 x.re y.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) y.im)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 5 binary64)))))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))))))) (/.f64 x.im y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) #s(literal 1 binary64)))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) #s(literal 1 binary64)))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))>
Calls

150 calls:

TimeVariablePointExpression
226.0ms
y.im
@-inf
(/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
7.0ms
y.re
@inf
(/ y.im (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2))
5.0ms
y.re
@-inf
(sqrt (+ (* y.re y.re) (* y.im y.im)))
5.0ms
x.im
@inf
(+ (* (/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))) (neg (* x.re (/ y.im (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2)))))
4.0ms
y.re
@inf
(/ (* y.im (- (* x.im (/ y.re y.im)) x.re)) (+ (* y.re y.re) (* y.im y.im)))

rewrite646.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
258×log1p-expm1-u
258×expm1-log1p-u
253×add-exp-log
253×add-log-exp
252×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038559
1664547
Stop Event
1×node limit
Counts
19 → 604
Calls
Call 1
Inputs
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(/.f64 x.im y.re)
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.im y.im)
(*.f64 y.re x.im)
(/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
(*.f64 x.im (/.f64 y.re y.im))
(/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(/.f64 y.re (hypot.f64 y.re y.im))
(hypot.f64 y.re y.im)
(/.f64 x.im (hypot.f64 y.re y.im))
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(/.f64 y.re y.im)
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
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(pow.f64 (hypot.f64 y.im y.re) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 y.im y.re))
(log.f64 (exp.f64 (hypot.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (hypot.f64 y.im y.re)))
(exp.f64 (log.f64 (hypot.f64 y.im y.re)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.im y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.im y.re)))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.im y.re)))
(*.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 x.im (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (cbrt.f64 x.im) (sqrt.f64 (hypot.f64 y.im y.re))))
(pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.im y.re) x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im (neg.f64 (hypot.f64 y.im y.re))))
(neg.f64 (/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im (hypot.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(exp.f64 (log.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (hypot.f64 y.im y.re))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 x.re))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) x.re))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) (fma.f64 (neg.f64 (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 y.re y.im) x.im (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64)) (*.f64 (neg.f64 x.re) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)))
(*.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))) (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 x.re)) (-.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))) (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 x.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 x.re)))
(pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
(fma.f64 (/.f64 y.re y.im) x.im (neg.f64 x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 x.re))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 x.re))
(fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 x.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.re y.im))) #s(literal 1 binary64))
(*.f64 y.re (/.f64 #s(literal 1 binary64) y.im))
(*.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
(*.f64 (cbrt.f64 (/.f64 y.re y.im)) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (sqrt.f64 (/.f64 y.re y.im)) (sqrt.f64 (/.f64 y.re y.im)))
(*.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (neg.f64 y.re) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 y.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) y.im))
(*.f64 (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 y.im)))
(pow.f64 (/.f64 y.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im y.re) #s(literal -1 binary64))
(neg.f64 (/.f64 y.re y.im))
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 y.re y.im)))
(exp.f64 (log.f64 (/.f64 y.re y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re y.im)) #s(literal 1 binary64)))

simplify794.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
517×*-commutative
454×distribute-lft-in
263×+-commutative
243×associate-*r/
241×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0181154689
1504152569
Stop Event
1×node limit
Counts
1156 → 1138
Calls
Call 1
Inputs
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 #s(literal 1 binary64) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))) y.im))
(/.f64 #s(literal 1 binary64) y.im)
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(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.re (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.im y.re))))
(exp.f64 (log.f64 (/.f64 y.re (hypot.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re (hypot.f64 y.im y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y.im y.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y.im y.re)))
(*.f64 (sqrt.f64 (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (hypot.f64 y.im y.re))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 y.im y.re))
(log.f64 (exp.f64 (hypot.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (hypot.f64 y.im y.re)))
(exp.f64 (log.f64 (hypot.f64 y.im y.re)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.im y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.im y.re)))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.im y.re)))
(*.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 x.im (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (cbrt.f64 x.im) (sqrt.f64 (hypot.f64 y.im y.re))))
(pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.im y.re) x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im (neg.f64 (hypot.f64 y.im y.re))))
(neg.f64 (/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im (hypot.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(exp.f64 (log.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (hypot.f64 y.im y.re))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 x.re))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) x.re))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) (fma.f64 (neg.f64 (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 y.re y.im) x.im (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64)) (*.f64 (neg.f64 x.re) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)))
(*.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))) (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 x.re)) (-.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))) (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 x.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 x.re)))
(pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
(fma.f64 (/.f64 y.re y.im) x.im (neg.f64 x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 x.re))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 x.re))
(fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 x.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.re y.im))) #s(literal 1 binary64))
(*.f64 y.re (/.f64 #s(literal 1 binary64) y.im))
(*.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
(*.f64 (cbrt.f64 (/.f64 y.re y.im)) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (sqrt.f64 (/.f64 y.re y.im)) (sqrt.f64 (/.f64 y.re y.im)))
(*.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (neg.f64 y.re) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 y.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) y.im))
(*.f64 (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 y.im)))
(pow.f64 (/.f64 y.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im y.re) #s(literal -1 binary64))
(neg.f64 (/.f64 y.re y.im))
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 y.re y.im)))
(exp.f64 (log.f64 (/.f64 y.re y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re y.im)) #s(literal 1 binary64)))
Outputs
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
(*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
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(*.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
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y.im
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(/.f64 y.re (neg.f64 y.im))
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y.re y.im))
(log.f64 (exp.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re y.im))))
(/.f64 y.re y.im)
(cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))
(/.f64 y.re y.im)
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(/.f64 y.re y.im)
(expm1.f64 (log1p.f64 (/.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(exp.f64 (log.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(exp.f64 (*.f64 (log.f64 (/.f64 y.re y.im)) #s(literal 1 binary64)))
(/.f64 y.re y.im)

eval250.0ms (1.6%)

Compiler

Compiled 38244 to 5335 computations (86.1% saved)

prune712.0ms (4.7%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New1475141489
Fresh7613
Picked325
Done011
Total1485231508
Accuracy
100.0%
Counts
1508 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.4%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
▶51.6%
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
49.6%
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
50.5%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
59.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓59.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
55.2%
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
▶55.9%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓39.6%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
50.9%
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
▶37.1%
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
49.8%
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
37.1%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
▶39.9%
(/.f64 (neg.f64 x.re) y.im)
✓46.4%
(/.f64 x.im y.re)
45.9%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
78.9%
(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))
79.2%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (*.f64 y.im (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re))))
52.0%
(*.f64 y.im (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)))
35.2%
(*.f64 x.re (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))
19.3%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
39.8%
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
46.3%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 661 to 405 computations (38.7% saved)

localize620.0ms (4.1%)

Algorithm
1×egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x.re)
cost-diff0
(/.f64 y.re y.im)
✓cost-diff6336
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
✓cost-diff6336
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
cost-diff0
(*.f64 y.im y.im)
cost-diff0
(*.f64 y.re y.re)
✓cost-diff0
(neg.f64 x.re)
✓cost-diff0
(*.f64 y.im (neg.f64 x.re))
✓cost-diff-6336
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓cost-diff-6336
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓cost-diff0
(/.f64 y.im y.re)
✓cost-diff0
(*.f64 x.re (/.f64 y.im y.re))
✓cost-diff0
(neg.f64 x.re)
✓cost-diff0
(/.f64 (neg.f64 x.re) y.im)
✓cost-diff6400
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
✓cost-diff6400
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
✓cost-diff6400
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
✓cost-diff25792
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
accuracy100.0%
(/.f64 y.re y.im)
✓accuracy100.0%
(neg.f64 x.re)
✓accuracy98.5%
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
✓accuracy96.2%
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
accuracy100.0%
(*.f64 y.im y.im)
✓accuracy100.0%
(neg.f64 x.re)
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓accuracy72.3%
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓accuracy100.0%
(/.f64 y.im y.re)
✓accuracy100.0%
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓accuracy98.8%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓accuracy92.4%
(*.f64 x.re (/.f64 y.im y.re))
✓accuracy100.0%
(/.f64 (neg.f64 x.re) y.im)
✓accuracy100.0%
(neg.f64 x.re)
✓accuracy100.0%
(/.f64 y.im (hypot.f64 y.im y.re))
✓accuracy99.9%
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
✓accuracy97.8%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
✓accuracy94.0%
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
Rules
1680×fma-define
566×fma-neg
391×distribute-lft-neg-in
366×distribute-lft-in
349×associate-/r*
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
036759
177739
2167739
3345735
4660735
51154735
61926735
73295715
85338709
96780709
106945709
116974709
126985709
137757709
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
x.re
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
(/.f64 y.im (hypot.f64 y.im y.re))
(hypot.f64 y.im y.re)
(/.f64 (neg.f64 x.re) y.im)
(neg.f64 x.re)
x.re
y.im
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
x.im
(*.f64 x.re (/.f64 y.im y.re))
x.re
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.im (neg.f64 x.re))
y.im
(neg.f64 x.re)
x.re
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
y.re
(*.f64 y.im y.im)
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
x.im
(/.f64 y.re y.im)
y.re
y.im
(neg.f64 x.re)
x.re
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (neg.f64 (/.f64 y.im (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))))))
(-.f64 (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im x.re) (fma.f64 y.re y.re (*.f64 y.im y.im))))
(-.f64 (*.f64 y.re (/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im x.re) (fma.f64 y.re y.re (*.f64 y.im y.im))))
(-.f64 (/.f64 (*.f64 y.re x.im) (fma.f64 y.re y.re (*.f64 y.im y.im))) (*.f64 y.im (/.f64 x.re (fma.f64 y.re y.re (*.f64 y.im y.im)))))
(-.f64 (*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (*.f64 y.im y.im)))) (*.f64 y.im (/.f64 x.re (fma.f64 y.re y.re (*.f64 y.im y.im)))))
(-.f64 (*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (*.f64 y.im y.im)))) (*.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (*.f64 y.im y.im)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y.im y.im (*.f64 y.re y.re))) (+.f64 (*.f64 y.im x.re) (*.f64 y.re (/.f64 x.im #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y.im y.im (*.f64 y.re y.re))) (-.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(*.f64 x.re (neg.f64 (/.f64 y.im (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))))
(/.f64 (*.f64 (neg.f64 y.im) x.re) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 (/.f64 y.im (fma.f64 y.re y.re (*.f64 y.im y.im))) (neg.f64 x.re))
(*.f64 y.im (/.f64 x.re (neg.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (fma.f64 y.im y.im (*.f64 y.re y.re))))
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(*.f64 x.re (/.f64 y.im (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))))
(/.f64 (*.f64 y.im x.re) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 y.im (/.f64 x.re (fma.f64 y.re y.re (*.f64 y.im y.im))))
(*.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (*.f64 y.im y.im))))
(*.f64 y.im (/.f64 x.re (fma.f64 y.im y.im (*.f64 y.re y.re))))
x.re
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
(/.f64 y.im (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 y.im (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 y.im (hypot.f64 y.im y.re))
(/.f64 y.im (hypot.f64 y.re y.im))
(hypot.f64 y.im y.re)
(hypot.f64 y.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.re (neg.f64 y.im))
(neg.f64 x.re)
x.re
y.im
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (fma.f64 x.re (/.f64 (neg.f64 y.im) y.re) x.im) y.re)
(/.f64 (fma.f64 (neg.f64 x.re) (/.f64 y.im y.re) x.im) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
(fma.f64 x.re (/.f64 (neg.f64 y.im) y.re) x.im)
(fma.f64 (neg.f64 x.re) (/.f64 y.im y.re) x.im)
x.im
(*.f64 x.re (/.f64 y.im y.re))
(*.f64 y.im (/.f64 x.re y.re))
x.re
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.re (neg.f64 (/.f64 y.im (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))))
(/.f64 (*.f64 (neg.f64 y.im) x.re) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 (/.f64 y.im (fma.f64 y.re y.re (*.f64 y.im y.im))) (neg.f64 x.re))
(*.f64 y.im (/.f64 x.re (neg.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (fma.f64 y.im y.im (*.f64 y.re y.re))))
(*.f64 y.im (neg.f64 x.re))
(*.f64 (neg.f64 y.im) x.re)
(*.f64 x.re (neg.f64 y.im))
y.im
(neg.f64 x.re)
x.re
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(fma.f64 y.im y.im (*.f64 y.re y.re))
(*.f64 y.re y.re)
y.re
(*.f64 y.im y.im)
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) y.im)
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re)
x.im
(/.f64 y.re y.im)
y.re
y.im
(neg.f64 x.re)
x.re
Results
157.0ms256×0valid
Compiler

Compiled 180 to 28 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 70.0ms (64.9% of total)
ival-div: 18.0ms (16.7% of total)
ival-hypot: 9.0ms (8.3% of total)
ival-fma: 5.0ms (4.6% of total)
ival-neg: 2.0ms (1.9% of total)
ival-add: 1.0ms (0.9% of total)
ival-sub: 1.0ms (0.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series71.0ms (0.5%)

Counts
15 → 492
Calls
Call 1
Inputs
#<alt (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))>
#<alt (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))>
#<alt (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))>
#<alt (/.f64 y.im (hypot.f64 y.im y.re))>
#<alt (neg.f64 x.re)>
#<alt (/.f64 (neg.f64 x.re) y.im)>
#<alt (*.f64 x.re (/.f64 y.im y.re))>
#<alt (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)>
#<alt (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))>
#<alt (/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)>
#<alt (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))>
#<alt (*.f64 y.im (neg.f64 x.re))>
Outputs
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
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#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
Calls

129 calls:

TimeVariablePointExpression
2.0ms
y.re
@inf
(/ (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re)))) (sqrt (+ (* y.im y.im) (* y.re y.re))))
2.0ms
y.im
@0
(/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re))))
2.0ms
x.re
@0
(/ (- x.im (* x.re (/ y.im y.re))) y.re)
1.0ms
x.im
@inf
(/ (+ (* x.im (/ y.re y.im)) (neg x.re)) y.im)
1.0ms
y.re
@inf
(/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re))))

rewrite239.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
281×log1p-expm1-u
281×expm1-log1p-u
277×add-exp-log
277×add-log-exp
277×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036496
1646439
Stop Event
1×node limit
Counts
15 → 478
Calls
Call 1
Inputs
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
(/.f64 y.im (hypot.f64 y.im y.re))
(neg.f64 x.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(/.f64 y.im y.re)
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(*.f64 y.im (neg.f64 x.re))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.re y.im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) (/.f64 x.re (/.f64 (hypot.f64 y.im y.re) y.im))))
(/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (*.f64 x.re y.im) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.im y.re) y.im)) (hypot.f64 y.im y.re))
(/.f64 (neg.f64 (/.f64 x.re (/.f64 (hypot.f64 y.im y.re) y.im))) (hypot.f64 y.im y.re))
(/.f64 (neg.f64 (/.f64 x.re (/.f64 (hypot.f64 y.im y.re) y.im))) (neg.f64 (hypot.f64 y.im y.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.re y.im)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 y.im (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 #s(literal 1 binary64) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y.im) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 y.im) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (neg.f64 y.im) (hypot.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (/.f64 y.im (hypot.f64 y.im y.re)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
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(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))

simplify559.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
684×fma-define
510×times-frac
375×distribute-lft-in
350×*-commutative
337×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0139544832
1376342071
Stop Event
1×node limit
Counts
970 → 895
Calls
Call 1
Inputs
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 6 binary64)))))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
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(/.f64 x.re y.im)
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(/.f64 (-.f64 (+.f64 (*.f64 x.re y.im) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x.re y.im) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
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(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (cbrt.f64 y.im)))
(pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (neg.f64 y.im)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) y.im))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(*.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) x.re)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re))))
(*.f64 (*.f64 x.re y.im) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (*.f64 x.re y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (/.f64 (*.f64 x.re y.im) (hypot.f64 y.im y.re)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) x.re)
(*.f64 (/.f64 x.re (/.f64 (hypot.f64 y.im y.re) y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (/.f64 y.im (hypot.f64 y.im y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (/.f64 x.re (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 x.re #s(literal 1 binary64)) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im #s(literal 1 binary64)) (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 x.re (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (/.f64 x.re (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (/.f64 x.re (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))
(/.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.re y.im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) (/.f64 x.re (/.f64 (hypot.f64 y.im y.re) y.im))))
(/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (*.f64 x.re y.im) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.im y.re) y.im)) (hypot.f64 y.im y.re))
(/.f64 (neg.f64 (/.f64 x.re (/.f64 (hypot.f64 y.im y.re) y.im))) (hypot.f64 y.im y.re))
(/.f64 (neg.f64 (/.f64 x.re (/.f64 (hypot.f64 y.im y.re) y.im))) (neg.f64 (hypot.f64 y.im y.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.re y.im)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re y.im) #s(literal 1 binary64))
(neg.f64 (*.f64 x.re y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
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#s(literal 1 binary64)
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(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(*.f64 x.re y.im)
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 x.re y.im)
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(*.f64 x.re y.im)
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(*.f64 x.re y.im)
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(*.f64 x.re y.im)
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))
(*.f64 x.re y.im)

eval161.0ms (1.1%)

Compiler

Compiled 22705 to 3930 computations (82.7% saved)

prune262.0ms (1.7%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New1073111084
Fresh6915
Picked235
Done123
Total1082251107
Accuracy
100.0%
Counts
1107 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.5%
(/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) y.im) y.im)
21.3%
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
50.5%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
▶59.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
▶55.0%
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
✓55.9%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓39.6%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓37.1%
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
21.7%
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
49.8%
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.1%
(/.f64 (*.f64 x.re (+.f64 (/.f64 (/.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal -1 binary64))) y.im)
37.1%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
22.8%
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
✓39.9%
(/.f64 (neg.f64 x.re) y.im)
▶10.4%
(/.f64 x.re y.im)
✓46.4%
(/.f64 x.im y.re)
▶45.9%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
10.4%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
55.4%
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
▶55.7%
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
37.0%
(*.f64 y.im (-.f64 (/.f64 (/.f64 x.im y.im) y.re) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
35.2%
(*.f64 x.re (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))
19.3%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
39.8%
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
46.3%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 593 to 388 computations (34.6% saved)

localize584.0ms (3.8%)

Algorithm
1×egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x.im)
✓cost-diff64
(/.f64 #s(literal 1 binary64) (neg.f64 y.re))
✓cost-diff64
(+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
✓cost-diff256
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
✓cost-diff0
(/.f64 x.re y.re)
✓cost-diff0
(*.f64 (/.f64 x.re y.re) y.im)
✓cost-diff0
(-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im))
✓cost-diff0
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
✓cost-diff0
(/.f64 y.re x.im)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
✓cost-diff0
(/.f64 x.re y.im)
✓cost-diff0
(fma.f64 y.im y.im (*.f64 y.re y.re))
cost-diff0
(*.f64 x.re y.im)
cost-diff0
(*.f64 x.im y.re)
✓cost-diff0
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓accuracy100.0%
(neg.f64 x.im)
✓accuracy100.0%
(+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
✓accuracy98.6%
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
accuracy92.4%
(*.f64 x.re (/.f64 y.im y.re))
✓accuracy100.0%
(/.f64 x.re y.re)
✓accuracy100.0%
(-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im))
✓accuracy98.8%
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
✓accuracy91.1%
(*.f64 (/.f64 x.re y.re) y.im)
✓accuracy100.0%
(/.f64 y.re x.im)
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
✓accuracy100.0%
(/.f64 x.re y.im)
accuracy100.0%
(*.f64 x.im y.re)
✓accuracy100.0%
(fma.f64 y.im y.im (*.f64 y.re y.re))
accuracy99.6%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
✓accuracy59.4%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
Rules
1075×fma-neg
679×fma-define
428×times-frac
392×div-sub
291×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034517
176509
2170503
3428503
41203503
52424503
63842503
74640503
85111503
95265503
105344503
115529503
125804503
136084503
146176503
156260503
166488503
176488503
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(*.f64 x.im y.re)
x.im
y.re
(*.f64 x.re y.im)
x.re
y.im
(fma.f64 y.im y.im (*.f64 y.re y.re))
(*.f64 y.re y.re)
(/.f64 x.re y.im)
x.re
y.im
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
#s(literal 1 binary64)
(/.f64 y.re x.im)
y.re
x.im
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im))
x.im
(*.f64 (/.f64 x.re y.re) y.im)
(/.f64 x.re y.re)
x.re
y.re
y.im
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(neg.f64 x.im)
x.im
(*.f64 x.re (/.f64 y.im y.re))
x.re
(/.f64 y.im y.re)
y.im
y.re
(/.f64 #s(literal 1 binary64) (neg.f64 y.re))
#s(literal 1 binary64)
(neg.f64 y.re)
Outputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (fma.f64 x.im y.re (neg.f64 (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(fma.f64 x.im y.re (neg.f64 (*.f64 x.re y.im)))
(*.f64 x.im y.re)
x.im
y.re
(*.f64 x.re y.im)
x.re
y.im
(fma.f64 y.im y.im (*.f64 y.re y.re))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(*.f64 y.re y.re)
(/.f64 x.re y.im)
x.re
y.im
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 x.im y.re)
#s(literal 1 binary64)
(/.f64 y.re x.im)
y.re
x.im
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 (/.f64 x.re y.re) (neg.f64 y.im) x.im) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im))
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (/.f64 x.re y.re) (neg.f64 y.im) x.im)
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
x.im
(*.f64 (/.f64 x.re y.re) y.im)
(*.f64 x.re (/.f64 y.im y.re))
(*.f64 y.im (/.f64 x.re y.re))
(/.f64 x.re y.re)
x.re
y.re
y.im
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 (/.f64 x.re y.re) (neg.f64 y.im) x.im) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(+.f64 (*.f64 x.re (/.f64 y.im y.re)) (neg.f64 x.im))
(-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)
(-.f64 (*.f64 y.im (/.f64 x.re y.re)) x.im)
(neg.f64 x.im)
x.im
(*.f64 x.re (/.f64 y.im y.re))
(*.f64 y.im (/.f64 x.re y.re))
x.re
(/.f64 y.im y.re)
y.im
y.re
(/.f64 #s(literal 1 binary64) (neg.f64 y.re))
(/.f64 #s(literal -1 binary64) y.re)
#s(literal 1 binary64)
(neg.f64 y.re)
Results
192.0ms256×0valid
Compiler

Compiled 131 to 26 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 14.0ms (40.6% of total)
ival-mult: 10.0ms (29% of total)
ival-sub: 3.0ms (8.7% of total)
ival-fma: 3.0ms (8.7% of total)
ival-neg: 2.0ms (5.8% of total)
ival-add: 1.0ms (2.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series44.0ms (0.3%)

Counts
13 → 348
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))>
#<alt (fma.f64 y.im y.im (*.f64 y.re y.re))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))>
#<alt (/.f64 y.re x.im)>
#<alt (*.f64 (/.f64 x.re y.re) y.im)>
#<alt (/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)>
#<alt (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))>
#<alt (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))>
#<alt (neg.f64 x.im)>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 y.re))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 y.im y.re)))>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
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#<alt (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im)>
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#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
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#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
Calls

105 calls:

TimeVariablePointExpression
1.0ms
x.im
@0
(* (+ (neg x.im) (* x.re (/ y.im y.re))) (/ 1 (neg y.re)))
1.0ms
y.im
@-inf
(* (+ (neg x.im) (* x.re (/ y.im y.re))) (/ 1 (neg y.re)))
1.0ms
x.re
@0
(* (+ (neg x.im) (* x.re (/ y.im y.re))) (/ 1 (neg y.re)))
1.0ms
y.im
@inf
(* (+ (neg x.im) (* x.re (/ y.im y.re))) (/ 1 (neg y.re)))
1.0ms
x.re
@-inf
(* (+ (neg x.im) (* x.re (/ y.im y.re))) (/ 1 (neg y.re)))

rewrite182.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
259×log1p-expm1-u
259×expm1-log1p-u
257×add-cube-cbrt
256×add-exp-log
256×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034328
1594288
Stop Event
1×node limit
Counts
13 → 470
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(fma.f64 y.im y.im (*.f64 y.re y.re))
(/.f64 x.re y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 y.re x.im)
(*.f64 (/.f64 x.re y.re) y.im)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im))
(/.f64 x.re y.re)
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(neg.f64 x.im)
(/.f64 #s(literal 1 binary64) (neg.f64 y.re))
Outputs
(+.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) (hypot.f64 y.im y.re)))
(*.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) #s(literal 2 binary64))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))
(/.f64 (+.f64 (pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re y.im))) #s(literal 1 binary64))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(*.f64 #s(literal 1 binary64) (/.f64 x.re y.im))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (sqrt.f64 (/.f64 x.re y.im)) (sqrt.f64 (/.f64 x.re y.im)))
(*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 y.im)))
(pow.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im x.re) #s(literal -1 binary64))
(neg.f64 (/.f64 x.re (neg.f64 y.im)))
(neg.f64 (/.f64 (neg.f64 x.re) y.im))
(sqrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 x.re y.im)))
(exp.f64 (log.f64 (/.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im y.re))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 #s(literal 1 binary64) (/.f64 x.im y.re))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (pow.f64 (/.f64 #s(literal 1 binary64) x.im) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x.im y.re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im y.re)))
(*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (/.f64 x.im (sqrt.f64 y.re)))
(*.f64 (sqrt.f64 (/.f64 x.im y.re)) (sqrt.f64 (/.f64 x.im y.re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y.re x.im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 y.re x.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y.re x.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y.re x.im)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (cbrt.f64 x.im) (cbrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 x.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) y.re))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) (sqrt.f64 y.re)) (/.f64 (sqrt.f64 x.im) (sqrt.f64 y.re)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 1 binary64)) x.im)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(pow.f64 (/.f64 y.re x.im) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 x.im y.re) #s(literal 1 binary64))
(neg.f64 (/.f64 x.im y.re))
(sqrt.f64 (pow.f64 (/.f64 y.re x.im) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im y.re))))
(cbrt.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 x.im y.re)))
(exp.f64 (log.f64 (/.f64 x.im y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re x.im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im y.re)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 x.im) (log.f64 y.re)))
(-.f64 #s(literal 0 binary64) (/.f64 y.re x.im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.re x.im))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x.im) (/.f64 y.re x.im))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(*.f64 y.re (neg.f64 (/.f64 #s(literal 1 binary64) x.im)))
(*.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (/.f64 y.re x.im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y.re x.im))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.re x.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re x.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 y.re x.im))))
(*.f64 (sqrt.f64 (/.f64 y.re x.im)) (sqrt.f64 (/.f64 y.re x.im)))
(*.f64 (sqrt.f64 (/.f64 y.re x.im)) (neg.f64 (sqrt.f64 (/.f64 y.re x.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) x.im))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x.im)) (/.f64 y.re (sqrt.f64 x.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re x.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (sqrt.f64 x.im)) (/.f64 (cbrt.f64 y.re) (sqrt.f64 x.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 x.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 x.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x.im)) (/.f64 y.re (sqrt.f64 x.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 y.re) x.im))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal -1 binary64)) (/.f64 (sqrt.f64 y.re) x.im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y.re x.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re x.im)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y.re x.im))) (sqrt.f64 (/.f64 y.re x.im)))
(pow.f64 (/.f64 y.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.re x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.re x.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 x.im y.re) #s(literal -1 binary64))
(neg.f64 (/.f64 y.re x.im))
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(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 y.im (/.f64 x.re y.re) x.im)
(fma.f64 #s(literal 1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 y.im y.re)) x.im)
(fma.f64 (/.f64 x.re y.re) y.im x.im)
(fma.f64 (/.f64 y.im y.re) x.re x.im)
(fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(+.f64 #s(literal 0 binary64) x.im)
(-.f64 #s(literal 0 binary64) x.im)
(-.f64 (exp.f64 (log1p.f64 x.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.im)))
(*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))
(*.f64 (sqrt.f64 x.im) (neg.f64 (sqrt.f64 x.im)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(*.f64 (neg.f64 (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x.im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.im)
(pow.f64 x.im #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x.im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x.im) #s(literal 2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x.im #s(literal 2 binary64)))
(log.f64 (exp.f64 x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x.im)))
(cbrt.f64 (pow.f64 x.im #s(literal 3 binary64)))
x.im
(expm1.f64 (log1p.f64 x.im))
(log1p.f64 (expm1.f64 x.im))
(exp.f64 (log.f64 x.im))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)))
(*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (pow.f64 y.re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)))
(pow.f64 y.re #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y.re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) y.re))
(sqrt.f64 (pow.f64 y.re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y.re))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y.re)))
(exp.f64 (neg.f64 (log.f64 y.re)))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y.re)) #s(literal 1 binary64)))

simplify672.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
657×associate-*l*
569×associate-*r*
536×times-frac
443×fma-define
231×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103332267
1251329278
Stop Event
1×node limit
Counts
818 → 638
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))
(pow.f64 y.re #s(literal 2 binary64))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 y.im #s(literal 2 binary64))
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(pow.f64 y.im #s(literal 2 binary64))
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(pow.f64 y.im #s(literal 2 binary64))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 y.re #s(literal 2 binary64))
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(log.f64 (exp.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)) #s(literal 1 binary64)))
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)
(-.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im)) (/.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))) (/.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(-.f64 (+.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 0 binary64)) x.im)
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(*.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))) (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 y.im (/.f64 x.re y.re) x.im)
(fma.f64 #s(literal 1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 y.im y.re)) x.im)
(fma.f64 (/.f64 x.re y.re) y.im x.im)
(fma.f64 (/.f64 y.im y.re) x.re x.im)
(fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(+.f64 #s(literal 0 binary64) x.im)
(-.f64 #s(literal 0 binary64) x.im)
(-.f64 (exp.f64 (log1p.f64 x.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.im)))
(*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))
(*.f64 (sqrt.f64 x.im) (neg.f64 (sqrt.f64 x.im)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(*.f64 (neg.f64 (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x.im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.im)
(pow.f64 x.im #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x.im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x.im) #s(literal 2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x.im #s(literal 2 binary64)))
(log.f64 (exp.f64 x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x.im)))
(cbrt.f64 (pow.f64 x.im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x.im))
(log1p.f64 (expm1.f64 x.im))
(exp.f64 (log.f64 x.im))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)))
(*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (pow.f64 y.re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)))
(pow.f64 y.re #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y.re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) y.re))
(sqrt.f64 (pow.f64 y.re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y.re))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y.re)))
(exp.f64 (neg.f64 (log.f64 y.re)))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y.re)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) x.im))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 x.re y.im) x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) x.im))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 x.re y.im) x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) x.im))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 x.re y.im) x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 x.re (*.f64 (/.f64 y.im y.re) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 x.re (*.f64 (/.f64 y.im y.re) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re (*.f64 (/.f64 y.im y.re) (fma.f64 x.re (/.f64 y.im y.re) x.im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))) (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re (*.f64 (/.f64 y.im y.re) (fma.f64 x.re (/.f64 y.im y.re) x.im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 x.re (*.f64 (/.f64 y.im y.re) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (*.f64 (/.f64 y.im y.re) x.im)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 x.im (fma.f64 (neg.f64 x.re) (/.f64 y.im y.re) x.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 y.im (/.f64 x.re y.re) x.im)
(fma.f64 #s(literal 1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 y.im y.re)) x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (/.f64 x.re y.re) y.im x.im)
(fma.f64 (/.f64 y.im y.re) x.re x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(+.f64 #s(literal 0 binary64) x.im)
x.im
(-.f64 #s(literal 0 binary64) x.im)
(neg.f64 x.im)
(-.f64 (exp.f64 (log1p.f64 x.im)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 x.im))
(*.f64 #s(literal 1 binary64) x.im)
x.im
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im))
x.im
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.im)))
(neg.f64 x.im)
(*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))
x.im
(*.f64 (sqrt.f64 x.im) (neg.f64 (sqrt.f64 x.im)))
(neg.f64 x.im)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(neg.f64 x.im)
(*.f64 (neg.f64 (sqrt.f64 x.im)) (sqrt.f64 x.im))
(neg.f64 x.im)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(neg.f64 x.im)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(neg.f64 x.im)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x.im))))
(/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.im)
(/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im)
(pow.f64 x.im #s(literal 1 binary64))
x.im
(pow.f64 (cbrt.f64 x.im) #s(literal 3 binary64))
x.im
(pow.f64 (sqrt.f64 x.im) #s(literal 2 binary64))
x.im
(pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1/3 binary64))
x.im
(sqrt.f64 (pow.f64 x.im #s(literal 2 binary64)))
(fabs.f64 x.im)
(log.f64 (exp.f64 x.im))
x.im
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x.im)))
x.im
(cbrt.f64 (pow.f64 x.im #s(literal 3 binary64)))
x.im
(expm1.f64 (log1p.f64 x.im))
(log1p.f64 (expm1.f64 x.im))
x.im
(exp.f64 (log.f64 x.im))
x.im
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 1 binary64)))
x.im
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal -1 binary64) y.re)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal -1 binary64) y.re)
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)) (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))) (cbrt.f64 y.re))
(*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (pow.f64 y.re #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) y.re)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)))
(*.f64 (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 y.re) #s(literal -2 binary64))
(pow.f64 y.re #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(pow.f64 (pow.f64 y.re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(neg.f64 (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal -1 binary64) y.re)
(sqrt.f64 (pow.f64 y.re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y.re)))
(/.f64 #s(literal 1 binary64) y.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y.re))))
(/.f64 #s(literal 1 binary64) y.re)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) y.re)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y.re)))
(/.f64 #s(literal 1 binary64) y.re)
(exp.f64 (neg.f64 (log.f64 y.re)))
(/.f64 #s(literal 1 binary64) y.re)
(exp.f64 (*.f64 (log.f64 y.re) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) y.re)
(exp.f64 (*.f64 (neg.f64 (log.f64 y.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) y.re)

eval174.0ms (1.1%)

Compiler

Compiled 13524 to 2439 computations (82% saved)

prune233.0ms (1.5%)

Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New8088816
Fresh31215
Picked325
Done055
Total81427841
Accuracy
100.0%
Counts
841 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.5%
(/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) y.im) y.im)
21.3%
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
50.5%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
55.0%
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
✓55.9%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
21.7%
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
✓39.6%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓37.1%
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
49.8%
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.1%
(/.f64 (*.f64 x.re (+.f64 (/.f64 (/.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal -1 binary64))) y.im)
37.1%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
37.1%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
22.8%
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
✓39.9%
(/.f64 (neg.f64 x.re) y.im)
11.0%
(/.f64 (neg.f64 x.im) y.re)
✓10.4%
(/.f64 x.re y.im)
✓46.4%
(/.f64 x.im y.re)
✓45.9%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
10.4%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
45.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
55.4%
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
46.3%
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
55.1%
(*.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
48.9%
(*.f64 (*.f64 x.re (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
35.2%
(*.f64 x.re (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))
19.3%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
39.8%
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
Compiler

Compiled 963 to 406 computations (57.8% saved)

regimes90.0ms (0.6%)

Counts
54 → 1
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) y.im) y.im)
(*.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (+.f64 (/.f64 (/.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal -1 binary64))) y.im)
(*.f64 (*.f64 x.re (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 y.im (-.f64 (/.f64 (/.f64 x.im y.im) y.re) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 y.im (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)))
(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (*.f64 y.im (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (/.f64 y.im x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
Calls

5 calls:

19.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
17.0ms
y.im
17.0ms
x.re
16.0ms
x.im
16.0ms
y.re
Results
AccuracySegmentsBranch
95.4%1x.re
95.4%1x.im
95.4%1y.re
95.4%1y.im
95.4%1(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes137.0ms (0.9%)

Counts
53 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) y.im) y.im)
(*.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (+.f64 (/.f64 (/.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal -1 binary64))) y.im)
(*.f64 (*.f64 x.re (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 y.im (-.f64 (/.f64 (/.f64 x.im y.im) y.re) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 y.im (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)))
(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (*.f64 y.im (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (/.f64 y.im x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
Outputs
(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))
Calls

5 calls:

66.0ms
x.im
18.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
16.0ms
y.re
16.0ms
x.re
15.0ms
y.im
Results
AccuracySegmentsBranch
89.2%3x.im
91.1%3y.re
93.1%3y.im
88.4%5(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
87.0%3x.re
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes23.0ms (0.2%)

Counts
52 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) y.im) y.im)
(*.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (+.f64 (/.f64 (/.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal -1 binary64))) y.im)
(*.f64 (*.f64 x.re (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 y.im (-.f64 (/.f64 (/.f64 x.im y.im) y.re) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 y.im (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)))
(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (*.f64 y.im (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (/.f64 y.im x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
Outputs
(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))
Calls

1 calls:

19.0ms
y.im
Results
AccuracySegmentsBranch
91.7%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes128.0ms (0.8%)

Counts
46 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) y.im) y.im)
(*.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (+.f64 (/.f64 (/.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal -1 binary64))) y.im)
(*.f64 (*.f64 x.re (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 y.im (-.f64 (/.f64 (/.f64 x.im y.im) y.re) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 y.im (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)))
Outputs
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
Calls

5 calls:

68.0ms
y.re
16.0ms
y.im
14.0ms
x.re
13.0ms
x.im
13.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
AccuracySegmentsBranch
73.9%3(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
65.2%3x.re
66.2%3x.im
87.5%5y.re
85.7%5y.im
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes17.0ms (0.1%)

Counts
44 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) y.im) y.im)
(*.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (+.f64 (/.f64 (/.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal -1 binary64))) y.im)
(*.f64 (*.f64 x.re (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 y.im (-.f64 (/.f64 (/.f64 x.im y.im) y.re) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))
Outputs
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
Calls

1 calls:

14.0ms
y.re
Results
AccuracySegmentsBranch
87.5%5y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.1%)

Counts
31 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) y.im) y.im)
(*.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (+.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 (*.f64 x.re (+.f64 (/.f64 (/.f64 (*.f64 y.re x.im) x.re) y.im) #s(literal -1 binary64))) y.im)
(*.f64 (*.f64 x.re (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
Outputs
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
Calls

1 calls:

9.0ms
y.re
Results
AccuracySegmentsBranch
83.5%3y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Counts
19 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
Outputs
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
Calls

1 calls:

6.0ms
y.re
Results
AccuracySegmentsBranch
82.8%3y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes16.0ms (0.1%)

Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
Outputs
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (neg.f64 x.re) y.im)
Calls

2 calls:

6.0ms
y.im
6.0ms
y.re
Results
AccuracySegmentsBranch
77.3%3y.im
74.8%3y.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0%)

Counts
17 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)
(/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re)
Outputs
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (neg.f64 x.re) y.im)
Calls

1 calls:

6.0ms
y.im
Results
AccuracySegmentsBranch
77.2%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
Outputs
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
Calls

2 calls:

5.0ms
y.im
5.0ms
y.re
Results
AccuracySegmentsBranch
68.4%3y.re
68.9%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.re)
Outputs
(/.f64 x.re y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
Calls

4 calls:

2.0ms
x.im
2.0ms
x.re
2.0ms
y.im
2.0ms
y.re
Results
AccuracySegmentsBranch
46.4%1x.re
46.4%1x.im
46.4%1y.re
50.4%3y.im
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x.im y.re)
Outputs
(/.f64 x.im y.re)
Calls

2 calls:

1.0ms
y.im
1.0ms
y.re
Results
AccuracySegmentsBranch
46.4%1y.re
46.4%1y.im
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch43.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
6.000793547406254e+115
1.1671485494251005e+128
20.0ms
-3.409020327762538e+111
-1.0086946172310773e+99
Results
27.0ms320×0valid
Compiler

Compiled 986 to 537 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (57.2% of total)
ival-sub: 2.0ms (14.3% of total)
ival-div: 2.0ms (14.3% of total)
ival-add: 2.0ms (14.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch79.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
6.469274818477575e-113
8.957016776327478e-107
58.0ms
-9.8002970218031e-63
-1.242418848789911e-69
Results
65.0ms288×0valid
Compiler

Compiled 674 to 395 computations (41.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 50.0ms (90.5% of total)
ival-sub: 2.0ms (3.6% of total)
ival-div: 2.0ms (3.6% of total)
ival-add: 2.0ms (3.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch83.0ms (0.5%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
3.2958375763978532e+69
1.8363940436460587e+74
24.0ms
4.8627919788236395e-89
3.7461373587476106e-88
14.0ms
-8.243364239433684e-71
-2.0600092507565387e-73
17.0ms
-5.44913464995155e+96
-2.338894270267055e+89
Results
54.0ms496×0valid
Compiler

Compiled 1066 to 654 computations (38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-add: 16.0ms (44.9% of total)
ival-mult: 13.0ms (36.4% of total)
ival-sub: 3.0ms (8.4% of total)
ival-div: 3.0ms (8.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch253.0ms (1.7%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
72.0ms
3.2958375763978532e+69
1.8363940436460587e+74
19.0ms
4.8627919788236395e-89
3.7461373587476106e-88
14.0ms
-8.243364239433684e-71
-2.0600092507565387e-73
142.0ms
-5.44913464995155e+96
-2.338894270267055e+89
Results
98.0ms496×0valid
Compiler

Compiled 1080 to 668 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 13.0ms (60% of total)
ival-sub: 3.0ms (13.8% of total)
ival-div: 3.0ms (13.8% of total)
ival-add: 3.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.0059404837573562e+107
5.464129412517717e+108
16.0ms
-8.243364239433684e-71
-2.0600092507565387e-73
Results
21.0ms240×0valid
Compiler

Compiled 446 to 287 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (57.1% of total)
ival-div: 2.0ms (19% of total)
ival-sub: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.0059404837573562e+107
5.464129412517717e+108
15.0ms
-8.243364239433684e-71
-2.0600092507565387e-73
Results
20.0ms240×0valid
Compiler

Compiled 446 to 287 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (57% of total)
ival-div: 2.0ms (19% of total)
ival-sub: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch76.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
5.978130698319276e+88
1.937067967303199e+90
60.0ms
-2.2945123014141617e-7
-7.638516898562228e-12
Results
65.0ms240×0valid
Compiler

Compiled 371 to 257 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 48.0ms (91.1% of total)
ival-div: 2.0ms (3.8% of total)
ival-sub: 1.0ms (1.9% of total)
ival-add: 1.0ms (1.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
5.978130698319276e+88
1.937067967303199e+90
15.0ms
-2.2945123014141617e-7
-7.638516898562228e-12
Results
21.0ms240×0valid
Compiler

Compiled 371 to 257 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (56.8% of total)
ival-div: 2.0ms (18.9% of total)
ival-sub: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.017985777461493e+62
4.539212299272416e+70
10.0ms
-1.251451887288707e-15
-3.751752081506522e-16
Results
18.0ms224×0valid
Compiler

Compiled 264 to 199 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (62.5% of total)
ival-sub: 1.0ms (10.4% of total)
ival-div: 1.0ms (10.4% of total)
ival-add: 1.0ms (10.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
8.858336361680047e+159
1.6917363284764362e+161
10.0ms
-8.548816802131894e+179
-3.9961747495462065e+179
Results
16.0ms192×0valid
Compiler

Compiled 218 to 161 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (51.9% of total)
ival-sub: 2.0ms (20.8% of total)
ival-div: 1.0ms (10.4% of total)
ival-add: 1.0ms (10.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify28.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
28×*-commutative
27×+-commutative
26×sub-neg
19×neg-sub0
19×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01401577
12111577
22761577
33161577
43371577
53431577
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(if (<=.f64 y.im #s(literal -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) (*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re))) (if (<=.f64 y.im #s(literal 64000000000000000995802632285877953553164889402947931735665317147573361994544365008959064954563036651277201975541760 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))))
(if (<=.f64 y.im #s(literal -8742010015015781/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) (*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re))) (if (<=.f64 y.im #s(literal 5415370496329717/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re) (*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))))
(if (<=.f64 y.re #s(literal -35999999999999999245740906339966790167030859524511658159104163103288924474876839835625062400 binary64)) (/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re) (if (<=.f64 y.re #s(literal -242445077749771/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 8242260651214319/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im) (if (<=.f64 y.re #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)))))
(if (<=.f64 y.re #s(literal -2099999999999999805230603342075933301968746742200800042002450314305702834657419813441241088 binary64)) (/.f64 (-.f64 x.im (/.f64 y.im (/.f64 y.re x.re))) y.re) (if (<=.f64 y.re #s(literal -5768949542353525/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 2687693690613365/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im) (if (<=.f64 y.re #s(literal 22000000000000000063196059527754314417137209861914299402661501236936704 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)))))
(if (<=.f64 y.re #s(literal -2486616182048933/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re) (if (<=.f64 y.re #s(literal 101999999999999994211605678262383332680468213278501237048897552095448954825144283129551018746232818586615808 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)))
(if (<=.f64 y.re #s(literal -2486616182048933/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re) (if (<=.f64 y.re #s(literal 101999999999999994211605678262383332680468213278501237048897552095448954825144283129551018746232818586615808 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 (/.f64 x.re y.re) y.im)) y.re)))
(if (<=.f64 y.im #s(literal -2780529385113647/2417851639229258349412352 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 60000000000000001098697596937790423056114766864744118035152134339640151620269668116201472 binary64)) (/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -5289050460814003/302231454903657293676544 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 154999999999999999893557017458651376922800646495724778545003185584705461483019640479154176 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -7707315649387635/10141204801825835211973625643008 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 3100000000000000051478282555999601122097051073767861138441109504 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -450000000000000027196284337012384780044751813098123094571233870590846089044521806961413121927143888974725157521874633722257271582425142085394566252622095828438572962397566078550016 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 145000000000000007970553361245875371351215078193475061151854066906232510211756785723486306239311217290025697710570983994919971729068782704922621233829997019398144 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(/.f64 x.im y.re)
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (neg.f64 (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (neg.f64 (hypot.f64 y.im y.re)))))
(if (<=.f64 y.im #s(literal -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) (*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re))) (if (<=.f64 y.im #s(literal 64000000000000000995802632285877953553164889402947931735665317147573361994544365008959064954563036651277201975541760 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re)))))
(if (or (<=.f64 y.im #s(literal -12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) (not (<=.f64 y.im #s(literal 64000000000000000995802632285877953553164889402947931735665317147573361994544365008959064954563036651277201975541760 binary64)))) (*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) (hypot.f64 y.im y.re))) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
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(/.f64 x.im y.re)

soundness3.0s (19.8%)

Rules
1255×fma-define
922×log1p-expm1-u
922×expm1-log1p-u
795×fma-neg
684×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034328
1594288
0139544832
1376342071
036496
1646439
071644171
1172440878
2694940812
027371
1394317
24633317
0701024
1237992
2469992
31150992
43391992
55801992
66625992
76734992
86754992
96770992
107716992
0181154689
1504152569
038559
1664547
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 2310 to 622 computations (73.1% saved)

preprocess80.0ms (0.5%)

Compiler

Compiled 810 to 286 computations (64.7% saved)

end0.0ms (0%)

Profiling

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