_divideComplex, imaginary part

Time bar (total: 14.2s)

analyze207.0ms (1.5%)

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: 191.0ms
ival-add: 174.0ms (91.1% of total)
ival-mult: 13.0ms (6.8% of total)
ival-sub: 2.0ms (1% of total)
ival-div: 1.0ms (0.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (11.3%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 647.0ms
ival-mult: 394.0ms (60.9% of total)
ival-div: 153.0ms (23.7% of total)
ival-sub: 45.0ms (7% of total)
ival-add: 44.0ms (6.8% of total)
const: 8.0ms (1.2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess263.0ms (1.9%)

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)))

explain151.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1081(1.599304048568337e-69 -7.116885224127727e-88 5.437572682961264e-152 -2.7100604629595388e+253)1(4.643964019182853e-129 1.4093103463032977e-264 -7.111605682360123e-216 1.9804886900315814e-161)(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im 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 (*.f64 x.im y.re) (*.f64 x.re y.im))
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
113.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 15.0ms (52.8% of total)
ival-add: 6.0ms (21.1% of total)
ival-sub: 3.0ms (10.6% of total)
ival-div: 3.0ms (10.6% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 32 to 16 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.6%
(/.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)))
▶59.6%
(/.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 37 to 21 computations (43.2% saved)

localize168.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 y.im)
✓cost-diff0
(*.f64 x.re (neg.f64 y.im))
✓cost-diff0
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
✓cost-diff0
(/.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 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)
✓accuracy100.0%
(*.f64 x.re (neg.f64 y.im))
✓accuracy100.0%
(neg.f64 y.im)
✓accuracy100.0%
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
✓accuracy59.9%
(/.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%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
✓accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓accuracy59.9%
(/.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
113×div-sub
109×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025364
145364
268364
3108364
4183364
5313364
6597364
71028364
81631364
92631364
103122364
113174364
123234364
133234364
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 (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 (fma.f64 x.im y.re (*.f64 y.im (neg.f64 x.re))) (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 (*.f64 y.im (neg.f64 x.re)))
(*.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 (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)))
(/.f64 (fma.f64 x.im y.re (*.f64 y.im (neg.f64 x.re))) (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))
(fma.f64 x.im y.re (*.f64 y.im (neg.f64 x.re)))
x.im
y.re
(*.f64 x.re (neg.f64 y.im))
(*.f64 y.im (neg.f64 x.re))
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
51.0ms256×0valid
Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 13.0ms (46.3% of total)
ival-fma: 6.0ms (21.4% of total)
ival-div: 3.0ms (10.7% of total)
ival-neg: 3.0ms (10.7% of total)
ival-sub: 1.0ms (3.6% of total)
ival-add: 1.0ms (3.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series113.0ms (0.8%)

Counts
11 → 270
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 y.re y.re) (*.f64 y.im y.im))>
#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>
#<alt (*.f64 x.im y.re)>
#<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 (neg.f64 y.im)>
#<alt (*.f64 x.re (neg.f64 y.im))>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 y.re y.re)>
#<alt (*.f64 y.im y.im)>
Outputs
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
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#<alt (/.f64 x.im y.re)>
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#<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))>
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#<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)))))>
#<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)))))>
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#<alt (/.f64 x.im y.re)>
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#<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))>
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#<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)>
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#<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))>
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#<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))>
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#<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 (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 (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 (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
Calls

81 calls:

TimeVariablePointExpression
76.0ms
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
@inf
(* x.im y.re)
1.0ms
x.im
@0
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite594.0ms (4.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
025281
1385238
24625238
Stop Event
1×node limit
Counts
11 → 396
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 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)
(/.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)))
(neg.f64 y.im)
(*.f64 x.re (neg.f64 y.im))
(*.f64 x.re y.im)
(*.f64 y.re y.re)
(*.f64 y.im 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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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)) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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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(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.re y.im))) (sqrt.f64 (*.f64 x.re y.im)) (*.f64 x.re y.im)))
(+.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 #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)))
y.im
(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 #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 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(neg.f64 (pow.f64 y.im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 y.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))

simplify565.0ms (4%)

Algorithm
1×egg-herbie
Rules
397×times-frac
335×associate-*r*
313×fma-define
307×associate-*l*
303×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072731312
1173929352
2697429328
Stop Event
1×node limit
Counts
666 → 470
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)
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(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 #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 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(neg.f64 (pow.f64 y.im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 y.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 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))))))
(-.f64 (*.f64 x.im (/.f64 y.re (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 #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))))))
(-.f64 (*.f64 x.im (/.f64 y.re (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 #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))))))
(-.f64 (*.f64 x.im (/.f64 y.re (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 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 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.re (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 (/.f64 x.re x.im) (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.re (fma.f64 y.im y.im (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 x.re (/.f64 y.im (*.f64 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 (/.f64 x.re x.im) (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.re (fma.f64 y.im y.im (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 x.re (/.f64 y.im (*.f64 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 (/.f64 x.re x.im) (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.re (fma.f64 y.im y.im (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 x.re (/.f64 y.im (*.f64 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 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im 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 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (fma.f64 x.re (/.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (neg.f64 y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 x.im))
(*.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 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (fma.f64 x.re (/.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (neg.f64 y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 x.im))
(*.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 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (fma.f64 x.re (/.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (neg.f64 y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 x.im))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.re (neg.f64 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))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(+.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))))))
(fma.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 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))
(fma.f64 y.re (fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (neg.f64 y.im)))
(+.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))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 y.re (fma.f64 y.re (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 4 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.re (neg.f64 y.im)))
(/.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 x.re (neg.f64 y.im)) y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 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 x.im (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im y.re))))) y.re)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im y.re))) x.im) 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 (-.f64 (+.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 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 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(-.f64 (/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 x.re (/.f64 y.im y.re)))) y.re) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (pow.f64 y.re #s(literal 3 binary64))))
(-.f64 (/.f64 (+.f64 x.im (fma.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)))) y.re) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (pow.f64 y.re #s(literal 3 binary64))))
(/.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))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re y.im) (/.f64 (neg.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) y.re)) y.re))) y.re))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x.re y.im (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.im y.re)))) y.re) x.im) (neg.f64 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))
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(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 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(neg.f64 (pow.f64 y.im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 y.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 y.im #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(pow.f64 y.im #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 y.im #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(pow.f64 y.im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 2 binary64)))
(pow.f64 y.im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))
(pow.f64 y.im #s(literal 2 binary64))

eval62.0ms (0.4%)

Compiler

Compiled 10219 to 1614 computations (84.2% saved)

prune121.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New46716483
Fresh000
Picked202
Done000
Total46916485
Accuracy
99.9%
Counts
485 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.4%
(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))
▶54.0%
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
▶59.6%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
48.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
▶52.1%
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
54.4%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
52.8%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
52.0%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
39.2%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
38.2%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.0%
(/.f64 (neg.f64 x.re) y.im)
▶43.5%
(/.f64 x.im y.re)
51.2%
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
43.2%
(+.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))
17.6%
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.im (*.f64 y.re x.im)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
▶46.6%
(*.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)))
Compiler

Compiled 514 to 326 computations (36.6% saved)

localize781.0ms (5.5%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
✓cost-diff0
(hypot.f64 y.re y.im)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓cost-diff6528
(*.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)))
✓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 x.im y.im)
✓cost-diff0
(*.f64 y.re (/.f64 x.im y.im))
✓cost-diff0
(-.f64 x.re (*.f64 y.re (/.f64 x.im y.im)))
✓cost-diff64
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
✓cost-diff0
(/.f64 x.im 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.im y.im (*.f64 y.re y.re)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓accuracy99.6%
(*.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)))
✓accuracy99.2%
(fma.f64 x.im y.re (*.f64 x.re y.im))
✓accuracy75.6%
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
✓accuracy100.0%
(/.f64 y.re y.im)
✓accuracy100.0%
(neg.f64 x.re)
✓accuracy99.2%
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
✓accuracy96.5%
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
accuracy100.0%
(neg.f64 y.im)
✓accuracy100.0%
(-.f64 x.re (*.f64 y.re (/.f64 x.im y.im)))
✓accuracy99.2%
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
✓accuracy93.1%
(*.f64 y.re (/.f64 x.im y.im))
✓accuracy100.0%
(/.f64 x.im y.re)
✓accuracy100.0%
(*.f64 x.re y.im)
accuracy100.0%
(*.f64 x.im y.re)
accuracy100.0%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
✓accuracy59.9%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
Rules
958×fma-define
898×fma-neg
407×unsub-neg
384×div-sub
371×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035646
180640
2173632
3447628
41041628
52742628
64320628
75729628
86144628
96190628
106200628
116836628
127224628
137392628
147392628
157392628
167416628
177452628
187482628
197564628
207566628
217578628
227578628
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.im y.re)
x.im
y.re
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(-.f64 x.re (*.f64 y.re (/.f64 x.im y.im)))
x.re
(*.f64 y.re (/.f64 x.im y.im))
y.re
(/.f64 x.im y.im)
x.im
y.im
(neg.f64 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
(*.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 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
(fma.f64 x.im y.re (*.f64 x.re y.im))
x.im
(*.f64 x.re y.im)
x.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 (-.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.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.im y.re)
x.im
y.re
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 y.im))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(-.f64 x.re (*.f64 y.re (/.f64 x.im y.im)))
(-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))
x.re
(*.f64 y.re (/.f64 x.im y.im))
(*.f64 x.im (/.f64 y.re y.im))
y.re
(/.f64 x.im y.im)
x.im
y.im
(neg.f64 y.im)
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 y.im))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re 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)
x.im
(/.f64 y.re y.im)
y.re
y.im
(neg.f64 x.re)
x.re
(*.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 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re 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 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
(fma.f64 x.im y.re (*.f64 x.re y.im))
x.im
(*.f64 x.re y.im)
x.re
Results
141.0ms256×0valid
Compiler

Compiled 154 to 27 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 64.0ms (64.9% of total)
ival-div: 15.0ms (15.2% of total)
ival-fma: 9.0ms (9.1% of total)
ival-hypot: 5.0ms (5.1% of total)
ival-sub: 3.0ms (3% of total)
ival-neg: 2.0ms (2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series125.0ms (0.9%)

Counts
16 → 480
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 (*.f64 x.re y.im)>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 y.re (/.f64 x.im y.im))>
#<alt (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))>
#<alt (-.f64 x.re (*.f64 y.re (/.f64 x.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 x.re)>
#<alt (/.f64 y.re y.im)>
#<alt (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))>
#<alt (fma.f64 x.im y.re (*.f64 x.re y.im))>
#<alt (*.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)))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))>
#<alt (/.f64 x.im y.im)>
#<alt (hypot.f64 y.re 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)>
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Calls

144 calls:

TimeVariablePointExpression
47.0ms
x.im
@0
(/ (+ (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms
y.re
@0
(sqrt (+ (* y.re y.re) (* y.im y.im)))
4.0ms
x.im
@inf
(/ (- x.re (* y.re (/ x.im y.im))) (neg y.im))
3.0ms
y.re
@inf
(/ (- x.re (* y.re (/ x.im y.im))) (neg y.im))
2.0ms
y.im
@0
(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite155.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
273×log1p-expm1-u
273×expm1-log1p-u
271×add-cube-cbrt
270×add-exp-log
270×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035455
1602418
Stop Event
1×node limit
Counts
16 → 485
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 x.re y.im)
(/.f64 x.im y.re)
(*.f64 y.re (/.f64 x.im y.im))
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(-.f64 x.re (*.f64 y.re (/.f64 x.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 x.re)
(/.f64 y.re y.im)
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(*.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 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 x.im y.im)
(hypot.f64 y.re y.im)
Outputs
(+.f64 (/.f64 (*.f64 x.im y.re) (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 (*.f64 x.im 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))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re 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 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 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 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 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 y.im))) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.im y.re)))
(*.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.im y.re) #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)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re 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 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.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.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 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 y.im)) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (pow.f64 (cbrt.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 y.im)) (pow.f64 (hypot.f64 y.im y.re) #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.im y.re)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (cbrt.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 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 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 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 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 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 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.im y.re) #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.im y.re) #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.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 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 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 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 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 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 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 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 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 (*.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 x.re) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.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 (/.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 (pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im y.re)))
(*.f64 (sqrt.f64 (/.f64 x.im y.re)) (sqrt.f64 (/.f64 x.im y.re)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.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 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 x.im (sqrt.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 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.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))) (cbrt.f64 (/.f64 x.im 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) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.re)))
(pow.f64 (/.f64 x.im y.re) #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 y.re x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im (neg.f64 y.re)))
(neg.f64 (/.f64 (neg.f64 x.im) y.re))
(sqrt.f64 (pow.f64 (/.f64 x.im y.re) #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 x.im y.re)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 y.re y.im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 1 binary64))
(/.f64 x.im (/.f64 y.im y.re))
(/.f64 y.re (/.f64 y.im x.im))
(/.f64 (*.f64 x.im y.re) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im y.re)))
(/.f64 (neg.f64 y.re) (/.f64 y.im x.im))
(/.f64 (neg.f64 (*.f64 x.im y.re)) y.im)
(pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64))
(neg.f64 (*.f64 x.im (/.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x.im y.im)) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (/.f64 x.im y.im)) y.re)))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x.im) (log.f64 (/.f64 y.re y.im))))
(+.f64 (/.f64 x.re y.im) (/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im))
(-.f64 (/.f64 x.re y.im) (/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im))) #s(literal 1 binary64))
(*.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (cbrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(pow.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)))
(exp.f64 (log.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 1 binary64)))
(+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))
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x.re
(expm1.f64 (log1p.f64 x.re))
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 1 binary64)))
(-.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 (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (sqrt.f64 (/.f64 y.re y.im)) (sqrt.f64 (/.f64 y.re y.im)))
(*.f64 (neg.f64 y.re) (/.f64 #s(literal 1 binary64) 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 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) 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)))
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(*.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)))
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(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))
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(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))))
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(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)))
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(*.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))))
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(*.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.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 (hypot.f64 y.re y.im) (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 (hypot.f64 y.re y.im))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #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 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #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 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(+.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 (fma.f64 x.im y.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 x.re y.im (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.re y.im))) (sqrt.f64 (*.f64 x.re y.im)) (*.f64 x.re y.im)))
(+.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 x.im y.re (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 x.im y.re (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
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(-.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im))))
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(pow.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(log.f64 (exp.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
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(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 (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)) (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)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im y.re (*.f64 x.re y.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im y.re (*.f64 x.re y.im))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im y.re (*.f64 x.re y.im))) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im y.re (*.f64 x.re y.im)))))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (neg.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))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #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)) #s(literal -1 binary64)) (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im)))) (neg.f64 (hypot.f64 y.re y.im)))
(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))
(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 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im y.im))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 #s(literal 1 binary64) (/.f64 x.im y.im))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im y.im)))
(*.f64 (sqrt.f64 (/.f64 x.im y.im)) (sqrt.f64 (/.f64 x.im y.im)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.im (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.im) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) y.im))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.im)))
(pow.f64 (/.f64 x.im y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im y.im))
(sqrt.f64 (pow.f64 (/.f64 x.im y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im y.im))))
(cbrt.f64 (pow.f64 (/.f64 x.im y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im y.im)))
(log1p.f64 (expm1.f64 (/.f64 x.im y.im)))
(exp.f64 (log.f64 (/.f64 x.im y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im)))
(/.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y.re y.im))))
(cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (hypot.f64 y.re y.im)))
(exp.f64 (log.f64 (hypot.f64 y.re y.im)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal 1 binary64)))

simplify539.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
493×distribute-lft-in
483×distribute-rgt-in
378×*-commutative
224×+-commutative
220×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0157742505
1413640871
Stop Event
1×node limit
Counts
965 → 977
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)
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(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))
(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 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im y.im))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 #s(literal 1 binary64) (/.f64 x.im y.im))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im y.im)))
(*.f64 (sqrt.f64 (/.f64 x.im y.im)) (sqrt.f64 (/.f64 x.im y.im)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.im (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.im) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) y.im))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.im)))
(pow.f64 (/.f64 x.im y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im y.im))
(sqrt.f64 (pow.f64 (/.f64 x.im y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im y.im))))
(cbrt.f64 (pow.f64 (/.f64 x.im y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im y.im)))
(log1p.f64 (expm1.f64 (/.f64 x.im y.im)))
(exp.f64 (log.f64 (/.f64 x.im y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im)))
(/.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y.re y.im))))
(cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (hypot.f64 y.re y.im)))
(exp.f64 (log.f64 (hypot.f64 y.re y.im)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.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)) (+.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 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im 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 #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 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im 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 #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 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im 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.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 x.im (/.f64 y.re (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 (/.f64 x.re x.im) (/.f64 y.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 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re x.im) (/.f64 y.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 (/.f64 x.re x.im) (/.f64 y.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 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re x.im) (/.f64 y.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 (/.f64 x.re x.im) (/.f64 y.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 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re x.im) (/.f64 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 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im 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 (neg.f64 x.im) (fma.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 x.im) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (-.f64 (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 x.im))
(*.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 (neg.f64 x.im) (fma.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 x.im) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (-.f64 (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 x.im))
(*.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 (neg.f64 x.im) (fma.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 x.im) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (-.f64 (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 x.im))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.re (neg.f64 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))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(+.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))))))
(fma.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 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))
(+.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))))))
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x.re
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x.im
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y.re
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(/.f64 (/.f64 x.im (cbrt.f64 y.im)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.im (sqrt.f64 y.im)))
(/.f64 (/.f64 x.im (sqrt.f64 y.im)) (sqrt.f64 y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) y.im))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im y.im)))
(*.f64 (cbrt.f64 (/.f64 x.im y.im)) (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.im) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) y.im))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.im)))
(/.f64 (*.f64 (sqrt.f64 x.im) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.im))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(pow.f64 (/.f64 x.im y.im) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(pow.f64 (pow.f64 (/.f64 x.im y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(pow.f64 (sqrt.f64 (/.f64 x.im y.im)) #s(literal 2 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(pow.f64 (/.f64 y.im x.im) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(neg.f64 (/.f64 x.im y.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im (neg.f64 y.im))
(sqrt.f64 (pow.f64 (/.f64 x.im y.im) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x.im y.im))
(log.f64 (exp.f64 (/.f64 x.im y.im)))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im y.im))))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(cbrt.f64 (pow.f64 (/.f64 x.im y.im) #s(literal 3 binary64)))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(expm1.f64 (log1p.f64 (/.f64 x.im y.im)))
(log1p.f64 (expm1.f64 (/.f64 x.im y.im)))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(exp.f64 (log.f64 (/.f64 x.im y.im)))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(exp.f64 (*.f64 (log.f64 (/.f64 x.im y.im)) #s(literal 1 binary64)))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 y.im y.re)))
(*.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(hypot.f64 y.im y.re)
(*.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(hypot.f64 y.im y.re)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y.re y.im)))
(hypot.f64 y.im y.re)
(*.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im)))
(hypot.f64 y.im y.re)
(/.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(hypot.f64 y.im y.re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(hypot.f64 y.im y.re)
(/.f64 (neg.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64))
(hypot.f64 y.im y.re)
(pow.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(hypot.f64 y.im y.re)
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
(hypot.f64 y.im y.re)
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 y.im y.re)
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 y.im y.re)
(pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(hypot.f64 y.im y.re)
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(hypot.f64 y.im y.re)
(log.f64 (exp.f64 (hypot.f64 y.re y.im)))
(hypot.f64 y.im y.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y.re y.im))))
(hypot.f64 y.im y.re)
(cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)))
(hypot.f64 y.im y.re)
(expm1.f64 (log1p.f64 (hypot.f64 y.re y.im)))
(expm1.f64 (log1p.f64 (hypot.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (hypot.f64 y.re y.im)))
(hypot.f64 y.im y.re)
(exp.f64 (log.f64 (hypot.f64 y.re y.im)))
(hypot.f64 y.im y.re)
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal 1 binary64)))
(hypot.f64 y.im y.re)

eval483.0ms (3.4%)

Compiler

Compiled 25656 to 3963 computations (84.6% saved)

prune425.0ms (3%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1230141244
Fresh3811
Picked415
Done000
Total1237231260
Accuracy
100.0%
Counts
1260 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
▶52.5%
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
54.0%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
48.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
43.5%
(/.f64 (-.f64 (*.f64 x.im y.re) (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
35.1%
(/.f64 (-.f64 x.re (pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64))) (neg.f64 y.im))
54.0%
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
54.4%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
52.0%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
43.6%
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.im)
39.2%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
▶39.2%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
38.2%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.0%
(/.f64 (neg.f64 x.re) y.im)
▶8.8%
(/.f64 x.re y.im)
✓43.5%
(/.f64 x.im y.re)
43.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
51.2%
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
43.2%
(+.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))
▶74.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
▶32.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
35.0%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
21.6%
(*.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) y.im))
Compiler

Compiled 681 to 439 computations (35.5% saved)

localize369.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.im y.re)
✓cost-diff0
(/.f64 (*.f64 x.im y.re) y.im)
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓cost-diff-6272
(/.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-diff-6336
(-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re)
✓cost-diff-6336
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
✓cost-diff0
(/.f64 y.im x.im)
✓cost-diff0
(/.f64 y.re (/.f64 y.im x.im))
✓cost-diff0
(/.f64 x.re y.im)
✓cost-diff0
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓cost-diff6528
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
accuracy100.0%
(*.f64 x.im y.re)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓accuracy93.7%
(/.f64 (*.f64 x.im y.re) y.im)
✓accuracy89.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.re) 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))
✓accuracy69.4%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓accuracy100.0%
(/.f64 y.im x.im)
✓accuracy100.0%
(-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re)
✓accuracy99.2%
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
✓accuracy93.5%
(/.f64 y.re (/.f64 y.im x.im))
✓accuracy100.0%
(/.f64 x.re y.im)
✓accuracy100.0%
(-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
✓accuracy75.6%
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
Rules
1379×fma-define
1032×fma-neg
557×div-sub
446×distribute-lft-in
308×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032664
176644
2159644
3403640
4972640
51801640
63170640
74176640
85812640
97034640
107227640
117247640
127854640
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
(-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(*.f64 y.re x.im)
x.im
(*.f64 x.re y.im)
x.re
(/.f64 x.re y.im)
x.re
y.im
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re)
(/.f64 y.re (/.f64 y.im x.im))
y.re
(/.f64 y.im x.im)
y.im
x.im
x.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 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
x.re
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 x.im y.re)
x.im
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (hypot.f64 y.re y.im))
(-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
(*.f64 y.re x.im)
x.im
(*.f64 x.re y.im)
(*.f64 y.im x.re)
x.re
(/.f64 x.re y.im)
x.re
y.im
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re)) y.im)
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re)
(-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re))
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
(/.f64 y.re (/.f64 y.im x.im))
(*.f64 (/.f64 y.re y.im) x.im)
(*.f64 y.re (/.f64 x.im y.im))
y.re
(/.f64 y.im x.im)
y.im
x.im
x.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) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 y.re (/.f64 x.im (fma.f64 y.im y.im (*.f64 y.re y.re))))
(*.f64 y.re (/.f64 x.im (fma.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))
(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)
(*.f64 y.im y.im)
y.im
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.re (/.f64 x.im y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 y.re (/.f64 x.im y.im) x.re)
x.re
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 (/.f64 y.re y.im) x.im)
(*.f64 y.re (/.f64 x.im y.im))
(*.f64 x.im y.re)
(*.f64 y.re x.im)
x.im
Results
133.0ms256×0valid
Compiler

Compiled 163 to 26 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 17.0ms (40.5% of total)
ival-mult: 15.0ms (35.7% of total)
ival-hypot: 5.0ms (11.9% of total)
ival-sub: 3.0ms (7.1% of total)
ival-add: 2.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.3%)

Counts
12 → 384
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))>
#<alt (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 y.re (/.f64 y.im x.im))>
#<alt (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)>
#<alt (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re)>
#<alt (/.f64 y.im x.im)>
#<alt (/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 y.re x.im)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<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 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 x.im y.im))))>
#<alt x.im>
#<alt (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (*.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))))))>
#<alt (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (+.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 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (+.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 -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re)))>
#<alt (+.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 -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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))))))) (*.f64 (*.f64 x.im y.re) (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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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))))))) (*.f64 (*.f64 x.im y.re) (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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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))))))) (*.f64 (*.f64 x.im y.re) (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 (*.f64 x.im y.re) (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 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.im) 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))))))) (*.f64 y.re (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 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.im) 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))))))) (*.f64 y.re (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 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.im) 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))))))) (*.f64 y.re (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 (*.f64 x.im y.re) (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 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) 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 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) 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 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) 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 (*.f64 x.im y.re) (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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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))))))) (*.f64 (*.f64 x.im y.re) (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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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))))))) (*.f64 (*.f64 x.im y.re) (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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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))))))) (*.f64 (*.f64 x.im y.re) (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 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.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))))))) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (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.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.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))))))) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (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.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.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))))))) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (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 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.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 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.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 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.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 x.im>
#<alt (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 x.im (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<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 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.re) y.im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))))>
#<alt x.re>
#<alt (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)))>
#<alt (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.im y.re)) y.im)))>
#<alt (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im))) y.im)) (*.f64 x.im y.re)) y.im)))>
#<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 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))>
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#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) y.im)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.re) y.im)))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (/.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 #s(literal -1 binary64) (*.f64 x.im y.re)) (*.f64 #s(literal 1/2 binary64) (/.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 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im))) y.im))) y.im))) y.im))>
#<alt (*.f64 (/.f64 (*.f64 x.im y.re) y.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 (*.f64 x.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.re) y.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 (*.f64 x.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.re) y.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 (*.f64 x.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.re) y.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.re (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.re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 x.re y.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.re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 x.re y.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.re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 x.re y.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.re (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 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.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 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.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 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.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.re (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 (*.f64 x.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.re) y.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 (*.f64 x.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.re) y.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 (*.f64 x.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.re) y.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 (/.f64 (*.f64 x.im y.re) y.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 (+.f64 (*.f64 (/.f64 x.re 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)))))) (*.f64 (/.f64 y.re y.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 (+.f64 (*.f64 (/.f64 x.re 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)))))) (*.f64 (/.f64 y.re y.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 (+.f64 (*.f64 (/.f64 x.re 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)))))) (*.f64 (/.f64 y.re y.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 (/.f64 (*.f64 x.im y.re) y.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 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re 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))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re y.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 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re 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))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re y.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 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re 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))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re y.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))))))))))>
Calls

117 calls:

TimeVariablePointExpression
2.0ms
y.re
@inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (- (* y.re x.im) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
2.0ms
x.im
@inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ x.re (/ (* x.im y.re) y.im)))
1.0ms
x.im
@0
(/ (* y.re x.im) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.im
@inf
(/ (* y.re x.im) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.re
@-inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ x.re (/ (* x.im y.re) y.im)))

rewrite154.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
270×log1p-expm1-u
270×expm1-log1p-u
265×add-cube-cbrt
264×add-exp-log
264×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032385
1607371
Stop Event
1×node limit
Counts
12 → 408
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(/.f64 x.re y.im)
(/.f64 y.re (/.f64 y.im x.im))
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re)
(/.f64 y.im x.im)
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.re x.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(/.f64 (*.f64 x.im y.re) y.im)
Outputs
(+.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re y.im) (hypot.f64 y.re y.im))))
(-.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.re y.im) (hypot.f64 y.re y.im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))))
(*.f64 (neg.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) (sqrt.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (*.f64 y.re (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 (/.f64 (*.f64 x.re y.im) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))) (hypot.f64 y.re y.im)))
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(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.re y.im))))
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(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re (/.f64 (*.f64 y.re x.im) (*.f64 (hypot.f64 y.re y.im) y.im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 (*.f64 y.re x.im) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re y.im)))
(*.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))))
(*.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))))
(*.f64 (neg.f64 (*.f64 y.re x.im)) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.im y.im))
(*.f64 (/.f64 x.im #s(literal 1 binary64)) (/.f64 y.re y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y.re x.im)) y.im))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re x.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y.re x.im)) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.im) (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 (*.f64 y.re x.im) (sqrt.f64 y.im)))
(*.f64 (/.f64 x.im (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(*.f64 (/.f64 y.re (sqrt.f64 y.im)) (/.f64 x.im (sqrt.f64 y.im)))
(*.f64 (/.f64 y.re (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.im)))
(*.f64 (/.f64 x.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 (*.f64 y.re x.im)) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (cbrt.f64 y.im)))
(pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im (*.f64 y.re x.im)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 1 binary64)))

simplify924.0ms (6.5%)

Algorithm
1×egg-herbie
Rules
596×times-frac
353×*-commutative
318×distribute-rgt-in
314×distribute-lft-in
205×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0144741242
1411438019
Stop Event
1×node limit
Counts
792 → 870
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 x.im y.im))))
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (*.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))))))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (+.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 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))))))
(*.f64 #s(literal -1 binary64) x.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))
(+.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 -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re)))
(+.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 -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 x.re y.im) 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))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 x.re y.im) 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))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 x.re y.im) 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))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) 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)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) 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)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) 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)))))))))
(*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.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)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.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)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.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)))))))))
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 x.im (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))))))))
(*.f64 #s(literal -1 binary64) x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.re) y.im)))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))))
x.re
(+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)))
(+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.im y.re)) y.im)))
(+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im))) y.im)) (*.f64 x.im y.re)) y.im)))
(*.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)
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(*.f64 (/.f64 y.re (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.im)))
(*.f64 (/.f64 x.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 (*.f64 y.re x.im)) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (cbrt.f64 y.im)))
(pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im (*.f64 y.re x.im)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
(fma.f64 (/.f64 y.re y.im) x.im (neg.f64 x.re))
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))))
(fma.f64 #s(literal -1 binary64) x.re (*.f64 y.re (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))))
(-.f64 (*.f64 y.re (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))) x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 x.im y.im))))
(fma.f64 #s(literal -1 binary64) x.re (*.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))))
(-.f64 (*.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))) x.re)
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re))
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (*.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))))))
(+.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im y.re)) (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.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) y.re)) (+.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 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))))))
(+.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))))))
(+.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))
(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)
(+.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 -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re)))
(*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re y.im) (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)))) y.re)))
(-.f64 (neg.f64 x.im) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (*.f64 x.re y.im)) y.re))
(+.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 -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re)))
(*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x.re y.im) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 (*.f64 #s(literal 1/2 binary64) x.im) (pow.f64 y.im #s(literal 2 binary64)))) y.re))) y.re)))
(-.f64 (neg.f64 x.im) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 (*.f64 #s(literal 1/2 binary64) x.im) (pow.f64 y.im #s(literal 2 binary64)))) (neg.f64 y.re)) (*.f64 x.re y.im)) y.re))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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)))))))
(*.f64 (*.f64 x.re (neg.f64 y.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))))))
(*.f64 (*.f64 x.re y.im) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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)))))) (*.f64 x.im (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(-.f64 (*.f64 x.im (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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)))))) (*.f64 x.im (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(-.f64 (*.f64 x.im (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.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)))))) (*.f64 x.im (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(-.f64 (*.f64 x.im (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.im) 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))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.re (/.f64 y.im x.im))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (-.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im x.im)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.im) 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))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.re (/.f64 y.im x.im))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (-.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im x.im)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.im) 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))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.re (/.f64 y.im x.im))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (-.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im x.im)))))
(*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) 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)))))))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.re (/.f64 y.im x.im)))))
(*.f64 (neg.f64 x.im) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im x.im))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) 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)))))))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.re (/.f64 y.im x.im)))))
(*.f64 (neg.f64 x.im) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im x.im))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) 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)))))))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.re (/.f64 y.im x.im)))))
(*.f64 (neg.f64 x.im) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im x.im))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))))
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(/.f64 (+.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im y.im)) #s(literal 3 binary64))) (fma.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)) (*.f64 (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im y.im)) (-.f64 (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im y.im)) (/.f64 x.re (hypot.f64 y.re y.im))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im y.im) (/.f64 y.re (hypot.f64 y.re y.im))) #s(literal 3 binary64))) (fma.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)) (*.f64 (*.f64 (/.f64 x.im y.im) (/.f64 y.re (hypot.f64 y.re y.im))) (-.f64 (*.f64 (/.f64 x.im y.im) (/.f64 y.re (hypot.f64 y.re y.im))) (/.f64 x.re (hypot.f64 y.re y.im))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im))) (-.f64 (*.f64 (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im))) (*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im)) (-.f64 (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)) (*.f64 (/.f64 (*.f64 y.re x.im) (*.f64 (hypot.f64 y.re y.im) y.im)) (/.f64 (*.f64 y.re x.im) (*.f64 (hypot.f64 y.re y.im) y.im)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re) (/.f64 (*.f64 y.re x.im) (*.f64 (hypot.f64 y.re y.im) y.im))))
(/.f64 (-.f64 (*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im))) (*.f64 (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im y.im)) (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im y.im)))) (-.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im y.im))))
(/.f64 (-.f64 (*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im))) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (/.f64 x.im (*.f64 y.im (hypot.f64 y.re y.im))) (/.f64 x.im (*.f64 y.im (hypot.f64 y.re y.im)))))) (-.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 x.im y.im) (/.f64 y.re (hypot.f64 y.re y.im)))))
(/.f64 (-.f64 (*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im))) (*.f64 (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im)))) (-.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #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 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #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 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(+.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im (/.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re (/.f64 (*.f64 y.re x.im) (*.f64 (hypot.f64 y.re y.im) y.im)))
(+.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im y.im)))
(+.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 x.im y.im) (/.f64 y.re (hypot.f64 y.re y.im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im))))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 (*.f64 y.re x.im) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re y.im)))
(*.f64 x.im (/.f64 y.re y.im))
(*.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))))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 (neg.f64 (*.f64 y.re x.im)) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 (*.f64 y.re (neg.f64 x.im)) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(/.f64 (*.f64 x.im (neg.f64 y.re)) (neg.f64 y.im))
(*.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.im y.im))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 (/.f64 x.im #s(literal 1 binary64)) (/.f64 y.re y.im))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y.re x.im)) y.im))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re x.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y.re x.im)) y.im))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.im) (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.im (cbrt.f64 y.im))))
(*.f64 (/.f64 y.re (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 (*.f64 y.re x.im) (sqrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (*.f64 y.re (/.f64 x.im (sqrt.f64 y.im))))
(*.f64 (/.f64 x.im (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(*.f64 (/.f64 x.im (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (*.f64 y.re (/.f64 x.im (sqrt.f64 y.im))))
(*.f64 (/.f64 y.re (sqrt.f64 y.im)) (/.f64 x.im (sqrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (*.f64 y.re (/.f64 x.im (sqrt.f64 y.im))))
(*.f64 (/.f64 x.im (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(*.f64 (/.f64 y.re (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.im (cbrt.f64 y.im))))
(*.f64 (/.f64 x.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))))
(*.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 (*.f64 y.re x.im)) (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (cbrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (cbrt.f64 y.im)))
(pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64))
(*.f64 x.im (/.f64 y.re y.im))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 3 binary64))
(*.f64 x.im (/.f64 y.re y.im))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (/.f64 y.re y.im))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64))
(*.f64 x.im (/.f64 y.re y.im))
(pow.f64 (/.f64 y.im (*.f64 y.re x.im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im y.re)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x.im (/.f64 y.re y.im)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re y.im)))
(*.f64 x.im (/.f64 y.re y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(*.f64 x.im (/.f64 y.re y.im))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))
(*.f64 x.im (/.f64 y.re y.im))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.re y.im))))
(*.f64 x.im (/.f64 y.re y.im))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))))
(*.f64 x.im (/.f64 y.re y.im))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 1 binary64)))
(*.f64 x.im (/.f64 y.re y.im))

eval364.0ms (2.6%)

Compiler

Compiled 29856 to 4245 computations (85.8% saved)

prune624.0ms (4.4%)

Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1342121354
Fresh61117
Picked235
Done011
Total1350271377
Accuracy
100.0%
Counts
1377 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.5%
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))))
52.8%
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
✓52.5%
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
52.5%
(/.f64 (-.f64 (/.f64 y.re (*.f64 y.im (/.f64 #s(literal 1 binary64) x.im))) x.re) y.im)
54.0%
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
48.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
▶54.0%
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
54.4%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
52.0%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
43.6%
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.im)
39.2%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓39.2%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
▶38.2%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.0%
(/.f64 (neg.f64 x.re) y.im)
7.2%
(/.f64 (neg.f64 x.im) y.im)
✓8.8%
(/.f64 x.re y.im)
✓43.5%
(/.f64 x.im y.re)
▶7.8%
(/.f64 x.im y.im)
▶6.0%
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
51.2%
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
5.2%
(+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
32.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))
25.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
20.4%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
60.7%
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
21.6%
(*.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) y.im))
8.8%
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
Compiler

Compiled 682 to 441 computations (35.3% saved)

localize437.0ms (3.1%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y.im y.im)
cost-diff0
(*.f64 y.re y.re)
cost-diff0
(neg.f64 y.im)
cost-diff0
(*.f64 x.re (neg.f64 y.im))
cost-diff0
(neg.f64 y.im)
✓cost-diff0
(/.f64 y.im y.re)
✓cost-diff0
(/.f64 x.im (/.f64 y.im y.re))
✓cost-diff64
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
cost-diff0
(/.f64 x.im y.im)
✓cost-diff0
(neg.f64 y.re)
✓cost-diff0
(/.f64 x.re (neg.f64 y.re))
✓cost-diff0
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
cost-diff0
(/.f64 x.im y.im)
✓cost-diff0
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓cost-diff12864
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))))
accuracy100.0%
(*.f64 x.re (neg.f64 y.im))
accuracy100.0%
(neg.f64 y.im)
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓accuracy75.1%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
accuracy100.0%
(neg.f64 y.im)
✓accuracy100.0%
(-.f64 x.re (/.f64 x.im (/.f64 y.im y.re)))
✓accuracy99.2%
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
✓accuracy94.0%
(/.f64 x.im (/.f64 y.im y.re))
✓accuracy100.0%
(/.f64 x.re (neg.f64 y.re))
accuracy100.0%
(/.f64 x.im y.im)
✓accuracy100.0%
(neg.f64 y.re)
✓accuracy98.5%
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
accuracy100.0%
(/.f64 x.im y.im)
✓accuracy100.0%
(fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))))
✓accuracy75.5%
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))))
Rules
1038×fma-neg
850×fma-define
705×div-sub
390×times-frac
297×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035615
175615
2169611
3443601
41167601
53755601
65353601
76802601
87460601
97786601
107867601
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))))
(fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))
x.im
(neg.f64 (*.f64 x.re y.im))
(*.f64 x.re y.im)
x.re
(/.f64 x.im y.im)
x.im
y.im
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(/.f64 x.re (neg.f64 y.re))
x.re
(neg.f64 y.re)
y.re
(/.f64 x.im y.im)
x.im
y.im
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
(-.f64 x.re (/.f64 x.im (/.f64 y.im y.re)))
x.re
(/.f64 x.im (/.f64 y.im y.re))
x.im
(/.f64 y.im y.re)
y.im
y.re
(neg.f64 y.im)
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.re (neg.f64 y.im))
x.re
(neg.f64 y.im)
y.im
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
y.re
(*.f64 y.im y.im)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (fma.f64 y.re x.im (*.f64 x.re (neg.f64 y.im))))
(*.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))))
(*.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (*.f64 y.re y.re))))
(/.f64 (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))))
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 x.re (neg.f64 y.im))))
(/.f64 (hypot.f64 y.re y.im) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))
(fma.f64 y.re x.im (*.f64 x.re (neg.f64 y.im)))
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
(fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re)))
x.im
(neg.f64 (*.f64 x.re y.im))
(*.f64 x.re (neg.f64 y.im))
(*.f64 y.im (neg.f64 x.re))
(*.f64 x.re y.im)
(*.f64 y.im x.re)
x.re
(/.f64 x.im y.im)
x.im
y.im
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(-.f64 (/.f64 x.im (neg.f64 y.im)) (/.f64 x.re y.re))
(/.f64 x.re (neg.f64 y.re))
x.re
(neg.f64 y.re)
y.re
(/.f64 x.im y.im)
x.im
y.im
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 x.re (/.f64 x.im (/.f64 y.im y.re)))
(-.f64 x.re (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 y.re (/.f64 x.im (neg.f64 y.im)) x.re)
x.re
(/.f64 x.im (/.f64 y.im y.re))
(*.f64 y.re (/.f64 x.im y.im))
x.im
(/.f64 y.im y.re)
y.im
y.re
(neg.f64 y.im)
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.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 (neg.f64 y.im) (/.f64 x.re (fma.f64 y.re y.re (*.f64 y.im y.im))))
(*.f64 y.im (/.f64 (neg.f64 x.re) (fma.f64 y.im y.im (*.f64 y.re y.re))))
(/.f64 (*.f64 y.im x.re) (neg.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))))
(*.f64 x.re (neg.f64 y.im))
(*.f64 y.im (neg.f64 x.re))
x.re
(neg.f64 y.im)
y.im
(+.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)
Results
243.0ms256×0valid
Compiler

Compiled 151 to 27 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-neg: 144.0ms (79.4% of total)
ival-div: 15.0ms (8.3% of total)
ival-mult: 9.0ms (5% of total)
ival-hypot: 5.0ms (2.8% of total)
ival-fma: 3.0ms (1.7% of total)
ival-sub: 2.0ms (1.1% of total)
ival-add: 1.0ms (0.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series57.0ms (0.4%)

Counts
11 → 396
Calls
Call 1
Inputs
#<alt (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))))>
#<alt (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))>
#<alt (-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))>
#<alt (neg.f64 y.re)>
#<alt (/.f64 x.re (neg.f64 y.re))>
#<alt (/.f64 x.im (/.f64 y.im y.re))>
#<alt (/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))>
#<alt (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re)))>
#<alt (/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (/.f64 y.im y.re)>
Outputs
#<alt (/.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (/.f64 #s(literal 1 binary64) x.re))>
#<alt (-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.re))>
#<alt (-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (*.f64 y.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.re))>
#<alt (/.f64 #s(literal 1 binary64) x.im)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x.im) (+.f64 (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x.im) (+.f64 (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)) (+.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64)))))))))>
#<alt (/.f64 #s(literal -1 binary64) x.im)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re))) (/.f64 #s(literal 1 binary64) x.im))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im))) y.re)) (/.f64 (*.f64 x.re y.im) (pow.f64 x.im #s(literal 2 binary64)))) y.re)) (/.f64 #s(literal 1 binary64) x.im))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) y.re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)))) y.re)) (/.f64 (*.f64 x.re y.im) (pow.f64 x.im #s(literal 2 binary64)))) y.re)) (/.f64 #s(literal 1 binary64) x.im))>
#<alt (/.f64 #s(literal 1 binary64) x.im)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)))) (/.f64 #s(literal 1 binary64) x.im))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)))) (/.f64 #s(literal 1 binary64) x.im))>
#<alt (/.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (/.f64 #s(literal 1 binary64) x.re))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) x.re))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.re))>
#<alt (/.f64 #s(literal 1 binary64) x.re)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (*.f64 x.im y.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) y.im))) y.im)) (/.f64 #s(literal 1 binary64) x.re))>
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#<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 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.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 6 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64)))))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.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 x.re (pow.f64 y.re #s(literal 6 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.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 (+.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 (+.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 #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.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 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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.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 5 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.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 x.re (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 3 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 #s(literal -1 binary64) (*.f64 x.re y.im)) (/.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)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 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)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 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 (*.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)))))) (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 #s(literal -1 binary64) (*.f64 x.re y.im)) (/.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)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 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)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 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 (*.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)))))) (pow.f64 y.re #s(literal 2 binary64)))>
Calls

105 calls:

TimeVariablePointExpression
5.0ms
y.im
@-inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.im) (neg (* x.re y.im))))
2.0ms
y.re
@inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.im) (neg (* x.re y.im))))
2.0ms
y.re
@-inf
(+ (* y.re x.im) (neg (* x.re y.im)))
2.0ms
y.re
@-inf
(- x.re (/ x.im (/ y.im y.re)))
1.0ms
x.re
@inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.im) (neg (* x.re y.im))))

rewrite234.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
279×log1p-expm1-u
279×expm1-log1p-u
275×add-exp-log
275×add-cube-cbrt
274×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035369
1619314
Stop Event
1×node limit
Counts
11 → 367
Calls
Call 1
Inputs
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))))
(fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(neg.f64 y.re)
(/.f64 x.re (neg.f64 y.re))
(/.f64 x.im (/.f64 y.im y.re))
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
(-.f64 x.re (/.f64 x.im (/.f64 y.im y.re)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 y.im y.re)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y.re y.im) (/.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (*.f64 y.im x.re))))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 2 binary64))) (/.f64 (hypot.f64 y.re y.im) (cbrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)))) (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 y.re y.im)) (fma.f64 y.re x.im (*.f64 y.im x.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)))) (/.f64 (cbrt.f64 (hypot.f64 y.re y.im)) (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (fma.f64 y.re x.im (*.f64 y.im x.re))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (cbrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)) (pow.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 y.im x.re))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 y.im x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 y.im x.re)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 y.im x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (hypot.f64 y.re y.im)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))) (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 y.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im 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 #s(literal 1 binary64) (*.f64 (*.f64 y.im x.re) (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 (*.f64 y.im x.re) (hypot.f64 y.re y.im)))
(*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (*.f64 y.im x.re) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 y.im #s(literal 1 binary64)) (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.re) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im x.re) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.re) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 x.re #s(literal 1 binary64)) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (/.f64 x.re (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 x.re (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (neg.f64 x.re) #s(literal 1 binary64)) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (/.f64 (neg.f64 x.re) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 y.im x.re) (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 (*.f64 y.im x.re)) (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)) (*.f64 y.im x.re)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.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 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #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 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y.im y.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im y.re))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 y.im y.re))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 #s(literal 1 binary64) (/.f64 y.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 y.im y.re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (sqrt.f64 (/.f64 y.im y.re)) (sqrt.f64 (/.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 y.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal -1 binary64)) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 y.re)))
(pow.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re y.im) #s(literal -1 binary64))
(neg.f64 (/.f64 y.im y.re))
(sqrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im y.re))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 y.im y.re)))
(exp.f64 (log.f64 (/.f64 y.im y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im y.re)) #s(literal 1 binary64)))

simplify426.0ms (3%)

Algorithm
1×egg-herbie
Rules
838×fma-define
391×*-commutative
382×distribute-lft-in
208×mul-1-neg
208×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0148438330
1441835799
Stop Event
1×node limit
Counts
763 → 863
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) x.re)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (/.f64 #s(literal 1 binary64) x.re))
(-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.re))
(-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (*.f64 y.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.re))
(/.f64 #s(literal 1 binary64) x.im)
(+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x.im) (+.f64 (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x.im) (+.f64 (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)) (+.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64)))))))))
(/.f64 #s(literal -1 binary64) x.im)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re))) (/.f64 #s(literal 1 binary64) x.im))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im))) y.re)) (/.f64 (*.f64 x.re y.im) (pow.f64 x.im #s(literal 2 binary64)))) y.re)) (/.f64 #s(literal 1 binary64) x.im))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) y.re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)))) y.re)) (/.f64 (*.f64 x.re y.im) (pow.f64 x.im #s(literal 2 binary64)))) y.re)) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 #s(literal 1 binary64) x.im)
(+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)))) (/.f64 #s(literal 1 binary64) x.im))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)))) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 #s(literal -1 binary64) x.re)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (/.f64 #s(literal 1 binary64) x.re))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) x.re))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.re))
(/.f64 #s(literal 1 binary64) x.re)
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(pow.f64 (cbrt.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 y.im x.re) (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 (*.f64 y.im x.re)) (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)) (*.f64 y.im x.re)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.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 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #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 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y.im y.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im y.re))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 y.im y.re))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 #s(literal 1 binary64) (/.f64 y.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 y.im y.re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (sqrt.f64 (/.f64 y.im y.re)) (sqrt.f64 (/.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 y.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal -1 binary64)) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 y.re)))
(pow.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re y.im) #s(literal -1 binary64))
(neg.f64 (/.f64 y.im y.re))
(sqrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im y.re))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 y.im y.re)))
(exp.f64 (log.f64 (/.f64 y.im y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im y.re)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal -1 binary64) x.re)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (/.f64 #s(literal 1 binary64) x.re))
(-.f64 (neg.f64 (*.f64 x.im (/.f64 y.re (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im)))) (/.f64 #s(literal 1 binary64) x.re))
(neg.f64 (fma.f64 x.im (/.f64 y.re (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im)) (/.f64 #s(literal 1 binary64) x.re)))
(-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.re))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) y.im) (*.f64 y.re (-.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) x.re)))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im (neg.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im)))) (/.f64 #s(literal -1 binary64) x.re))
(-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im))) (*.f64 y.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.re))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) y.im) (*.f64 y.re (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) x.re)))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (fma.f64 y.re (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 x.im (neg.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im)))) (/.f64 #s(literal -1 binary64) x.re))
(/.f64 #s(literal 1 binary64) x.im)
(+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)))
(+.f64 (/.f64 #s(literal 1 binary64) x.im) (*.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im (*.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x.im))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x.im) (+.f64 (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x.im) (+.f64 (*.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (/.f64 y.im y.re)) (*.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x.im)) (fma.f64 x.re (/.f64 y.im (*.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x.im) (+.f64 (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)) (+.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64)))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x.im) (+.f64 (+.f64 (*.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (/.f64 y.im y.re)) (*.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x.im)) (fma.f64 x.re (/.f64 y.im (*.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) x.im)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re))) (/.f64 #s(literal 1 binary64) x.im))
(-.f64 (/.f64 (*.f64 (neg.f64 x.re) y.im) (*.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x.im))
(neg.f64 (fma.f64 x.re (/.f64 y.im (*.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x.im)))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im))) y.re)) (/.f64 (*.f64 x.re y.im) (pow.f64 x.im #s(literal 2 binary64)))) y.re)) (/.f64 #s(literal 1 binary64) x.im))
(-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) x.im)) y.re) (*.f64 x.re (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64))))) y.re)) (/.f64 #s(literal 1 binary64) x.im))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) x.im) (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 y.re))) y.re) (/.f64 #s(literal -1 binary64) x.im))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) y.re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)))) y.re)) (/.f64 (*.f64 x.re y.im) (pow.f64 x.im #s(literal 2 binary64)))) y.re)) (/.f64 #s(literal 1 binary64) x.im))
(-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) y.re) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) x.im))) y.re) (*.f64 x.re (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64))))) y.re)) (/.f64 #s(literal 1 binary64) x.im))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.re (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) x.im) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) y.re)) (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) y.re)) y.re) (/.f64 #s(literal -1 binary64) x.im))
(/.f64 #s(literal 1 binary64) x.im)
(+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (*.f64 x.re y.im) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re)))
(+.f64 (/.f64 #s(literal 1 binary64) x.im) (*.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im (*.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x.im))
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(fma.f64 y.im (fma.f64 y.im (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re (*.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x.im))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 4 binary64))) (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im))))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (neg.f64 x.re) #s(literal 1 binary64)) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.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 (neg.f64 x.re) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (neg.f64 x.re) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (neg.f64 x.re) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 4 binary64))))
(pow.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.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)) (*.f64 y.im x.re)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.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 (*.f64 y.im 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))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #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.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 y.im 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))))
(exp.f64 (log.f64 (*.f64 (*.f64 y.im 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))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y.im y.re))
(/.f64 y.im (neg.f64 y.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im y.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 y.im y.re)))
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 y.im y.re))
(/.f64 y.im (neg.f64 y.re))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(*.f64 #s(literal 1 binary64) (/.f64 y.im y.re))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 y.im y.re))
(/.f64 y.im (neg.f64 y.re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(*.f64 (sqrt.f64 (/.f64 y.im y.re)) (sqrt.f64 (/.f64 y.im y.re)))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y.im (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(/.f64 (/.f64 y.im (cbrt.f64 y.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(/.f64 (/.f64 y.im (sqrt.f64 y.re)) (sqrt.f64 y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (cbrt.f64 (/.f64 y.im y.re)) (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 y.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 y.im (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (/.f64 y.im (sqrt.f64 y.re)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y.re)))
(/.f64 (neg.f64 (/.f64 y.im (sqrt.f64 y.re))) (sqrt.f64 y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (cbrt.f64 y.im) y.re) (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 y.im y.re) #s(literal -1 binary64))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal -1 binary64)) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 (/.f64 (cbrt.f64 y.im) y.re) (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 y.im y.re) #s(literal -1 binary64))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 y.re)))
(/.f64 (*.f64 (sqrt.f64 y.im) (/.f64 (sqrt.f64 y.im) (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(pow.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(pow.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(pow.f64 (sqrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(pow.f64 (/.f64 y.re y.im) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
(neg.f64 (/.f64 y.im y.re))
(/.f64 y.im (neg.f64 y.re))
(sqrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y.im y.re))
(log.f64 (exp.f64 (/.f64 y.im y.re)))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im y.re))))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y.im y.re))))
(/.f64 y.im (neg.f64 y.re))
(cbrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(expm1.f64 (log1p.f64 (/.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 y.im y.re)))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(exp.f64 (log.f64 (/.f64 y.im y.re)))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)
(exp.f64 (*.f64 (log.f64 (/.f64 y.im y.re)) #s(literal 1 binary64)))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 y.im y.re)

eval388.0ms (2.7%)

Compiler

Compiled 28963 to 4531 computations (84.4% saved)

prune419.0ms (3%)

Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New1324121336
Fresh71118
Picked235
Done044
Total1333301363
Accuracy
100.0%
Counts
1363 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.2%
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (*.f64 (neg.f64 x.re) y.im)))
49.4%
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 (hypot.f64 y.re y.im) (+.f64 (/.f64 #s(literal 1 binary64) y.im) (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))) (neg.f64 x.re)))
52.8%
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
✓52.5%
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
52.5%
(/.f64 (-.f64 (/.f64 y.re (*.f64 y.im (/.f64 #s(literal 1 binary64) x.im))) x.re) y.im)
54.0%
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
✓54.0%
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
54.4%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
52.0%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
43.6%
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.im)
39.2%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓39.2%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
34.4%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
✓38.2%
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
11.8%
(/.f64 (neg.f64 x.re) y.re)
42.0%
(/.f64 (neg.f64 x.re) y.im)
7.2%
(/.f64 (neg.f64 x.im) y.im)
✓8.8%
(/.f64 x.re y.im)
✓43.5%
(/.f64 x.im y.re)
✓7.8%
(/.f64 x.im y.im)
5.0%
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
57.7%
(*.f64 (/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
25.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
20.4%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
21.6%
(*.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) y.im))
38.3%
(*.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
53.8%
(*.f64 (neg.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (/.f64 #s(literal 1 binary64) y.im))
21.6%
(*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
7.2%
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
7.8%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
Compiler

Compiled 1021 to 434 computations (57.5% saved)

regimes106.0ms (0.7%)

Counts
56 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.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 (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
(*.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.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 y.re (*.f64 y.im (/.f64 #s(literal 1 binary64) x.im))) x.re) y.im)
(*.f64 (neg.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.re (neg.f64 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 (neg.f64 x.re) (/.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 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))
(/.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 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(*.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(/.f64 (-.f64 x.re (pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64))) (neg.f64 y.im))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (*.f64 (neg.f64 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 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
(+.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 #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 (*.f64 x.im y.re) (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 (hypot.f64 y.re y.im) (+.f64 (/.f64 #s(literal 1 binary64) y.im) (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))) (neg.f64 x.re)))
(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))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.im (*.f64 y.re x.im)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
Outputs
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
Calls

5 calls:

31.0ms
x.re
18.0ms
y.re
18.0ms
y.im
18.0ms
x.im
16.0ms
(/.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
83.0%3x.re
76.5%2x.im
83.8%3y.re
90.0%5y.im
87.3%3(/.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)

regimes57.0ms (0.4%)

Counts
47 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.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 (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
(*.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.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 y.re (*.f64 y.im (/.f64 #s(literal 1 binary64) x.im))) x.re) y.im)
(*.f64 (neg.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.re (neg.f64 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 (neg.f64 x.re) (/.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 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))
(/.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 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(*.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(/.f64 (-.f64 x.re (pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64))) (neg.f64 y.im))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (*.f64 (neg.f64 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)))
Outputs
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
Calls

2 calls:

35.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
13.0ms
y.im
Results
AccuracySegmentsBranch
85.4%4y.im
76.7%3(/.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 24 to 15 computations (37.5% saved)

regimes34.0ms (0.2%)

Counts
42 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.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 (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
(*.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.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 y.re (*.f64 y.im (/.f64 #s(literal 1 binary64) x.im))) x.re) y.im)
(*.f64 (neg.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.re (neg.f64 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 (neg.f64 x.re) (/.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 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))
(/.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 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(*.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
Outputs
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(/.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 (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
Calls

2 calls:

19.0ms
y.re
12.0ms
y.im
Results
AccuracySegmentsBranch
83.2%4y.re
85.3%4y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes125.0ms (0.9%)

Counts
38 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.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 (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
(*.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.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 y.re (*.f64 y.im (/.f64 #s(literal 1 binary64) x.im))) x.re) y.im)
(*.f64 (neg.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.re (neg.f64 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 (neg.f64 x.re) (/.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 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))
Outputs
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 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 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
Calls

1 calls:

122.0ms
y.im
Results
AccuracySegmentsBranch
85.3%4y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes53.0ms (0.4%)

Counts
30 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.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 (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
(*.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.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 y.re (*.f64 y.im (/.f64 #s(literal 1 binary64) x.im))) x.re) y.im)
(*.f64 (neg.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Outputs
(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
Calls

3 calls:

24.0ms
x.re
9.0ms
y.re
9.0ms
y.im
Results
AccuracySegmentsBranch
80.0%3y.re
62.4%3x.re
81.4%3y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes8.0ms (0.1%)

Counts
21 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.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 (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
Outputs
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
Calls

1 calls:

7.0ms
y.im
Results
AccuracySegmentsBranch
81.4%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Counts
20 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.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 (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
Outputs
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
Calls

1 calls:

6.0ms
y.im
Results
AccuracySegmentsBranch
81.4%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
Outputs
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
Calls

1 calls:

7.0ms
y.im
Results
AccuracySegmentsBranch
81.4%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes82.0ms (0.6%)

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

3 calls:

71.0ms
x.im
5.0ms
y.im
5.0ms
y.re
Results
AccuracySegmentsBranch
58.1%3x.im
71.5%3y.re
74.7%3y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes10.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 x.re (neg.f64 y.re)) (/.f64 x.im y.im))
Outputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.im y.re)
Calls

2 calls:

5.0ms
y.re
4.0ms
y.im
Results
AccuracySegmentsBranch
67.6%3y.re
65.8%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
Outputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
Calls

4 calls:

4.0ms
y.im
2.0ms
x.re
2.0ms
x.im
2.0ms
y.re
Results
AccuracySegmentsBranch
43.5%1x.im
43.5%1x.re
47.0%2y.im
43.5%1y.re
Compiler

Compiled 20 to 16 computations (20% saved)

regimes2.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
Outputs
(/.f64 x.im y.re)
(/.f64 x.im y.im)
Calls

1 calls:

2.0ms
y.im
Results
AccuracySegmentsBranch
45.1%2y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
y.re
1.0ms
x.im
1.0ms
x.re
1.0ms
y.im
Results
AccuracySegmentsBranch
7.8%1y.re
7.8%1x.im
7.8%1x.re
7.8%1y.im
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.6305146100753817e+294
3.593813163565178e+296
0.0ms
-inf
-5.226746142876893e+275
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch31.0ms (0.2%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
4.940552384683487e-12
6.7095893485455805e-12
12.0ms
-9.049112150034233e-152
-1.4196069936258447e-152
11.0ms
-1.8489445593739081e+78
-8.23273548188553e+77
Results
21.0ms224×0valid
Compiler

Compiled 470 to 310 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (65% of total)
ival-sub: 1.0ms (8.1% of total)
ival-div: 1.0ms (8.1% of total)
ival-add: 1.0ms (8.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
4.940552384683487e-12
6.7095893485455805e-12
11.0ms
-9.049112150034233e-152
-1.4196069936258447e-152
10.0ms
-1.8489445593739081e+78
-8.23273548188553e+77
Results
19.0ms224×0valid
Compiler

Compiled 481 to 299 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (66.2% 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)

bsearch39.0ms (0.3%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
5.0ms
4.940552384683487e-12
6.7095893485455805e-12
22.0ms
-9.049112150034233e-152
-1.4196069936258447e-152
9.0ms
-1.8489445593739081e+78
-8.23273548188553e+77
Results
18.0ms224×0valid
Compiler

Compiled 492 to 310 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (67.6% of total)
ival-sub: 1.0ms (9.7% of total)
ival-div: 1.0ms (9.7% of total)
ival-add: 1.0ms (9.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch112.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
95.0ms
4.940552384683487e-12
6.7095893485455805e-12
14.0ms
-2.7943957605726115e-41
-4.044009360754874e-44
Results
104.0ms176×0valid
Compiler

Compiled 345 to 226 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-div: 91.0ms (92.8% of total)
ival-mult: 5.0ms (5.1% of total)
ival-sub: 1.0ms (1% of total)
ival-add: 1.0ms (1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
5.0ms
4.940552384683487e-12
6.7095893485455805e-12
14.0ms
-2.7943957605726115e-41
-4.044009360754874e-44
Results
14.0ms176×0valid
Compiler

Compiled 337 to 218 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (62% of total)
ival-sub: 1.0ms (12.4% of total)
ival-div: 1.0ms (12.4% of total)
ival-add: 1.0ms (12.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
5.0ms
4.940552384683487e-12
6.7095893485455805e-12
20.0ms
-2.7943957605726115e-41
-4.044009360754874e-44
Results
20.0ms176×0valid
Compiler

Compiled 334 to 215 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 11.0ms (81.2% of total)
ival-sub: 1.0ms (7.4% of total)
ival-div: 1.0ms (7.4% of total)
ival-add: 1.0ms (7.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch69.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
5.0ms
4.940552384683487e-12
6.7095893485455805e-12
62.0ms
-2.7943957605726115e-41
-4.044009360754874e-44
Results
61.0ms176×0valid
Compiler

Compiled 334 to 215 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 52.0ms (93.9% of total)
ival-sub: 1.0ms (1.8% of total)
ival-div: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.4001263535656012e+73
2.048659838367592e+74
20.0ms
-15.036343031720502
-1.1790826492768736e-15
Results
23.0ms256×0valid
Compiler

Compiled 394 to 273 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (71.1% of total)
ival-div: 2.0ms (14.2% of total)
ival-sub: 1.0ms (7.1% of total)
ival-add: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.0294497926907747e+71
1.981110928560407e+92
10.0ms
-1.4609757277872017e+20
-3.980271362137103e+19
Results
22.0ms256×0valid
Compiler

Compiled 298 to 225 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (59% of total)
ival-div: 2.0ms (16.9% of total)
ival-sub: 1.0ms (8.4% of total)
ival-add: 1.0ms (8.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
1.1115222845770525e+128
2.1374560897559047e+131
Results
26.0ms128×0valid
Compiler

Compiled 154 to 113 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 14.0ms (77.8% of total)
ival-div: 2.0ms (11.1% of total)
ival-sub: 1.0ms (5.6% of total)
ival-add: 1.0ms (5.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
4.2510692683137384e+120
7.937664706537232e+124
Results
20.0ms128×0valid
Compiler

Compiled 154 to 113 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (62.6% of total)
ival-sub: 1.0ms (8.9% of total)
ival-div: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify138.0ms (1%)

Algorithm
1×egg-herbie
Rules
192×unsub-neg
174×distribute-lft-neg-in
144×neg-mul-1
111×neg-sub0
103×cancel-sign-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01291773
11821773
22301773
32681737
43231737
53921737
64851737
77031737
89781737
911411737
1012791737
1113781737
1214431737
1314821737
1414901737
1514911737
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal -inf.0 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.im #s(literal -1800000000000000097563746446701767464816424992145294357747791666544027598061568 binary64)) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)) (if (<=.f64 y.im #s(literal -7783797501194429/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (if (<=.f64 y.im #s(literal 6437288204283977/1237940039285380274899124224 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)))))
(if (<=.f64 y.im #s(literal -1479999999999999979660468575436639561600943837259155611869881359328542153768960 binary64)) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)) (if (<=.f64 y.im #s(literal -8019670152745775/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re))) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)))))
(if (<=.f64 y.im #s(literal -1150000000000000102327295998060998293788216932139540613558141409997083755151360 binary64)) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)) (if (<=.f64 y.im #s(literal -6722370569213371/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 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.im #s(literal 851083777008699/154742504910672534362390528 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)))))
(if (<=.f64 y.im #s(literal -6277101735386681/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im)) (if (<=.f64 y.im #s(literal 3590026113927603/618970019642690137449562112 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))))
(if (<=.f64 y.im #s(literal -41377379603379/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))))
(if (<=.f64 y.im #s(literal -2550072580000839/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 3837614121784679/618970019642690137449562112 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -2184094498327211/295147905179352825856 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 44999999999999998451878638849924565431917183182122651435478613340045967360 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.re #s(literal -42000000000000000000 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 104000000000000001413287220215485019687082830002001548898937367435411456 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (<=.f64 y.im #s(literal 209999999999999985465567171649634730444895026450365413891142801019767588106322034243588049258066334125051271603751291314126830174208 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im))
(if (<=.f64 y.im #s(literal 6800000000000000024568487881585573848105337982845743779442357762228931081097734090245169483717885155233776028940121910804480 binary64)) (/.f64 x.im y.re) (/.f64 x.im y.im))
(/.f64 x.im y.im)
Outputs
(if (<=.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal -inf.0 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal -inf.0 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.im #s(literal -1800000000000000097563746446701767464816424992145294357747791666544027598061568 binary64)) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)) (if (<=.f64 y.im #s(literal -7783797501194429/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (if (<=.f64 y.im #s(literal 6437288204283977/1237940039285380274899124224 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)))))
(if (<=.f64 y.im #s(literal -1800000000000000097563746446701767464816424992145294357747791666544027598061568 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -7783797501194429/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (if (<=.f64 y.im #s(literal 6437288204283977/1237940039285380274899124224 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -1479999999999999979660468575436639561600943837259155611869881359328542153768960 binary64)) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)) (if (<=.f64 y.im #s(literal -8019670152745775/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re))) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)))))
(if (<=.f64 y.im #s(literal -1479999999999999979660468575436639561600943837259155611869881359328542153768960 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -8019670152745775/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re))) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -1150000000000000102327295998060998293788216932139540613558141409997083755151360 binary64)) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)) (if (<=.f64 y.im #s(literal -6722370569213371/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 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.im #s(literal 851083777008699/154742504910672534362390528 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im)))))
(if (<=.f64 y.im #s(literal -1150000000000000102327295998060998293788216932139540613558141409997083755151360 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -6722370569213371/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 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.im #s(literal 851083777008699/154742504910672534362390528 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -6277101735386681/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 y.im)) (if (<=.f64 y.im #s(literal 3590026113927603/618970019642690137449562112 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))))
(if (<=.f64 y.im #s(literal -6277101735386681/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im) (if (<=.f64 y.im #s(literal 3590026113927603/618970019642690137449562112 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -41377379603379/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))))
(if (<=.f64 y.im #s(literal -41377379603379/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -2550072580000839/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 3837614121784679/618970019642690137449562112 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -13792459867793/766247770432944429179173513575154591809369561091801088 binary64)) (not (<=.f64 y.im #s(literal 3837614121784679/618970019642690137449562112 binary64)))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.im #s(literal -2184094498327211/295147905179352825856 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 44999999999999998451878638849924565431917183182122651435478613340045967360 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -2184094498327211/295147905179352825856 binary64)) (not (<=.f64 y.im #s(literal 44999999999999998451878638849924565431917183182122651435478613340045967360 binary64)))) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (or (<=.f64 y.im #s(literal -2184094498327211/295147905179352825856 binary64)) (not (<=.f64 y.im #s(literal 44999999999999998451878638849924565431917183182122651435478613340045967360 binary64)))) (/.f64 x.re (neg.f64 y.im)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.re #s(literal -42000000000000000000 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 104000000000000001413287220215485019687082830002001548898937367435411456 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (or (<=.f64 y.re #s(literal -42000000000000000000 binary64)) (not (<=.f64 y.re #s(literal 104000000000000001413287220215485019687082830002001548898937367435411456 binary64)))) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im))
(if (or (<=.f64 y.re #s(literal -42000000000000000000 binary64)) (not (<=.f64 y.re #s(literal 104000000000000001413287220215485019687082830002001548898937367435411456 binary64)))) (/.f64 x.im y.re) (/.f64 x.re (neg.f64 y.im)))
(if (<=.f64 y.im #s(literal 209999999999999985465567171649634730444895026450365413891142801019767588106322034243588049258066334125051271603751291314126830174208 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im))
(if (<=.f64 y.im #s(literal 6800000000000000024568487881585573848105337982845743779442357762228931081097734090245169483717885155233776028940121910804480 binary64)) (/.f64 x.im y.re) (/.f64 x.im y.im))
(/.f64 x.im y.im)

soundness2.2s (15.4%)

Rules
1255×fma-define
920×log1p-expm1-u
920×expm1-log1p-u
795×fma-neg
596×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032385
1607371
0701024
1237992
2469992
31150992
43391992
55801992
66625992
76734992
86754992
96770992
107716992
025281
1385238
24625238
0157742505
1413640871
035455
1602418
072731312
1173929352
2697429328
0144741242
1411438019
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
Compiler

Compiled 1910 to 535 computations (72% saved)

preprocess75.0ms (0.5%)

Compiler

Compiled 892 to 256 computations (71.3% saved)

end0.0ms (0%)

Profiling

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