_divideComplex, imaginary part

Time bar (total: 15.2s)

analyze37.0ms (0.2%)

Algorithm
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: 20.0ms
ival-mult: 13.0ms (64.8% of total)
ival-sub: 4.0ms (19.9% of total)
ival-add: 2.0ms (10% of total)
ival-div: 1.0ms (5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.8s (11.7%)

Results
974.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 674.0ms
ival-mult: 413.0ms (61.3% of total)
ival-sub: 110.0ms (16.3% of total)
ival-div: 102.0ms (15.1% of total)
ival-add: 39.0ms (5.8% of total)
const: 7.0ms (1% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess316.0ms (2.1%)

Algorithm
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
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)))

explain126.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
990-0-(/.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
79.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 17.0ms (65.8% of total)
ival-div: 4.0ms (15.5% of total)
ival-sub: 3.0ms (11.6% of total)
ival-add: 2.0ms (7.7% of total)
const: 1.0ms (3.9% 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
62.6%
(/.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)))
62.6%
(/.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)

simplify167.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 8 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)
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
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)

localize75.0ms (0.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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)))
accuracy63.0%
(/.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))
accuracy63.0%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
50.0ms256×0valid
Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 12.0ms (46.2% of total)
ival-fma: 6.0ms (23.1% of total)
ival-div: 3.0ms (11.6% of total)
ival-add: 3.0ms (11.6% of total)
ival-sub: 1.0ms (3.9% of total)
ival-neg: 1.0ms (3.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series43.0ms (0.3%)

Counts
11 → 270
Calls
Call 1
Inputs
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 y.re y.re)>
#<alt (*.f64 y.im y.im)>
#<alt (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))>
#<alt (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))>
#<alt (*.f64 x.re (neg.f64 y.im))>
#<alt (neg.f64 y.im)>
#<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))>
Outputs
#<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))>
#<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)))))>
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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 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))))>
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#<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))))))>
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#<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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#<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)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
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#<alt (*.f64 #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 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
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#<alt (*.f64 x.im y.re)>
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#<alt (*.f64 x.im y.re)>
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#<alt (*.f64 x.im y.re)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
Calls

81 calls:

TimeVariablePointExpression
3.0ms
x.re
@-inf
(/ (+ (* x.im y.re) (* x.re (neg y.im))) (+ (* y.im y.im) (* y.re y.re)))
2.0ms
y.im
@0
(/ (+ (* x.im y.re) (* x.re (neg y.im))) (+ (* y.im y.im) (* y.re y.re)))
1.0ms
x.im
@0
(/ (+ (* x.im y.re) (* x.re (neg y.im))) (+ (* y.im y.im) (* y.re y.re)))
1.0ms
x.re
@0
(/ (+ (* x.im y.re) (* x.re (neg y.im))) (+ (* y.im y.im) (* y.re y.re)))
1.0ms
y.re
@0
(* y.re y.re)

rewrite631.0ms (4.2%)

Algorithm
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
025273
1385238
24624238
Stop Event
node limit
Counts
11 → 396
Calls
Call 1
Inputs
(*.f64 x.im y.re)
(*.f64 x.re 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)))
(*.f64 x.re (neg.f64 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 y.re y.re) (*.f64 y.im y.im))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im y.re))) #s(literal 1 binary64))
(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))
(sqrt.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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)))
(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.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))))
(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)))
(+.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.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (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 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))))))
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(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 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 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.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 (neg.f64 x.re) y.im (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (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 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)) #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 (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)))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.im y.re (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(fma.f64 y.re x.im (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (*.f64 x.im y.re) #s(literal 1 binary64) (*.f64 x.re y.im))
(fma.f64 (*.f64 x.im y.re) #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im y.re) (*.f64 x.re y.im))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(fma.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))) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) x.im) (*.f64 x.re y.im))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) x.im) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (cbrt.f64 (*.f64 x.im y.re)) (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (*.f64 x.re y.im))
(fma.f64 (cbrt.f64 (*.f64 x.im y.re)) (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im y.re)) (*.f64 x.re y.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im y.re)) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) y.re) (*.f64 x.re y.im))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.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))) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(fma.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.im y.re)) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.im y.re)) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) y.re) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) x.im) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) x.im) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (*.f64 x.re y.im))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (*.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re) (*.f64 x.re y.im))
(fma.f64 (*.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re y.im))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (*.f64 y.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.im))
(fma.f64 (*.f64 y.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))

simplify405.0ms (2.7%)

Algorithm
egg-herbie
Rules
397×times-frac
336×associate-*r*
315×fma-define
307×associate-*l*
303×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072931312
1174629352
2696729328
Stop Event
node limit
Counts
666 → 462
Calls
Call 1
Inputs
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.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)
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(fma.f64 #s(literal 1 binary64) (*.f64 x.im y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(fma.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))) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) x.im) (*.f64 x.re y.im))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) x.im) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (cbrt.f64 (*.f64 x.im y.re)) (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (*.f64 x.re y.im))
(fma.f64 (cbrt.f64 (*.f64 x.im y.re)) (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im y.re)) (*.f64 x.re y.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im y.re)) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) y.re) (*.f64 x.re y.im))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.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))) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(fma.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.im y.re)) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.im y.re)) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) y.re) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) x.im) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) x.im) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (*.f64 x.re y.im))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (*.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re) (*.f64 x.re y.im))
(fma.f64 (*.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re y.im))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (*.f64 y.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.im))
(fma.f64 (*.f64 y.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
Outputs
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x.re) y.im) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(+.f64 (*.f64 #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.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(+.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.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(+.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.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.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.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 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.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 x.re (/.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #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.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 x.re (/.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #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.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 x.re (/.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #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.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 #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.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))))
(*.f64 (-.f64 (/.f64 (*.f64 x.re (/.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #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.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))))
(*.f64 (-.f64 (/.f64 (*.f64 x.re (/.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #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.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))))
(*.f64 (-.f64 (/.f64 (*.f64 x.re (/.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #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 (*.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 (*.f64 y.re (/.f64 x.im y.im)) 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 (neg.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))))))
(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 (*.f64 y.re x.im) (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 (neg.f64 x.re) 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 (neg.f64 x.re) 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 x.re (/.f64 (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 (fma.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))) (/.f64 (*.f64 y.im (neg.f64 x.re)) 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 (*.f64 y.im (neg.f64 x.re)) 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 (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))) 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))
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(fma.f64 y.re x.im (*.f64 y.im x.re))
(pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 3 binary64))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(pow.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(pow.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(log.f64 (exp.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(expm1.f64 (log1p.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(expm1.f64 (log1p.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(exp.f64 (log.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 x.im y.re (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 y.re x.im (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 (*.f64 x.im y.re) #s(literal 1 binary64) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 (*.f64 x.im y.re) #s(literal 1 binary64) (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im y.re) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im y.re) (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im (fma.f64 y.im x.re (*.f64 y.im x.re))))
(fma.f64 y.re x.im (fma.f64 y.im x.re (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re))))
(fma.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))) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im (fma.f64 y.im x.re (*.f64 y.im x.re))))
(fma.f64 y.re x.im (fma.f64 y.im x.re (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re))))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) x.im) (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 (cbrt.f64 (*.f64 x.im y.re)) (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 (cbrt.f64 (*.f64 x.im y.re)) (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im y.re)) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im y.re)) (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) y.re) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) y.re) (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.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))) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im (fma.f64 y.im x.re (*.f64 y.im x.re))))
(fma.f64 y.re x.im (fma.f64 y.im x.re (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re))))
(fma.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.im y.re)) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.im y.re)) (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) y.re) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 x.im) (*.f64 y.re (sqrt.f64 x.im)) (*.f64 y.im x.re))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (sqrt.f64 x.im) (*.f64 y.re (sqrt.f64 x.im)) (neg.f64 (-.f64 (*.f64 y.im x.re) (fma.f64 y.im x.re (*.f64 y.im x.re)))))
(-.f64 (*.f64 y.re (*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))) (-.f64 (*.f64 y.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re))))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) x.im) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 y.re) (*.f64 x.im (sqrt.f64 y.re)) (*.f64 y.im x.re))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) x.im) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (sqrt.f64 y.re) (*.f64 x.im (sqrt.f64 y.re)) (neg.f64 (-.f64 (*.f64 y.im x.re) (fma.f64 y.im x.re (*.f64 y.im x.re)))))
(-.f64 (*.f64 x.im (*.f64 (sqrt.f64 y.re) (sqrt.f64 y.re))) (-.f64 (*.f64 y.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re))))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 (*.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 y.re) (*.f64 x.im (sqrt.f64 y.re)) (*.f64 y.im x.re))
(fma.f64 (*.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (sqrt.f64 y.re) (*.f64 x.im (sqrt.f64 y.re)) (neg.f64 (-.f64 (*.f64 y.im x.re) (fma.f64 y.im x.re (*.f64 y.im x.re)))))
(-.f64 (*.f64 x.im (*.f64 (sqrt.f64 y.re) (sqrt.f64 y.re))) (-.f64 (*.f64 y.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re))))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (-.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 (neg.f64 x.re) y.im)) (fma.f64 y.im x.re (*.f64 y.im x.re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re)) (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))))
(fma.f64 (*.f64 y.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 x.im) (*.f64 y.re (sqrt.f64 x.im)) (*.f64 y.im x.re))
(fma.f64 (*.f64 y.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (neg.f64 (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im)))))
(fma.f64 (sqrt.f64 x.im) (*.f64 y.re (sqrt.f64 x.im)) (neg.f64 (-.f64 (*.f64 y.im x.re) (fma.f64 y.im x.re (*.f64 y.im x.re)))))
(-.f64 (*.f64 y.re (*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))) (-.f64 (*.f64 y.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 y.im x.re))))

eval60.0ms (0.4%)

Compiler

Compiled 10000 to 1617 computations (83.8% saved)

prune92.0ms (0.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New45917476
Fresh000
Picked112
Done000
Total46018478
Accuracy
99.8%
Counts
478 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(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))))))
46.3%
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
34.0%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
56.2%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
62.6%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.8%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
51.3%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
56.5%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
50.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
38.1%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
44.7%
(/.f64 (neg.f64 x.re) y.im)
37.4%
(/.f64 x.im y.re)
44.2%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
51.9%
(+.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))))
41.8%
(*.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)))
37.5%
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
40.8%
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
58.0%
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
Compiler

Compiled 551 to 347 computations (37% saved)

simplify511.0ms (3.4%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y.re #s(literal 2 binary64))
cost-diff0
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
cost-diff0
(*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
cost-diff6528
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
cost-diff0
(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
cost-diff0
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
cost-diff0
(/.f64 x.im y.re)
cost-diff128
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
cost-diff-6272
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
cost-diff0
(neg.f64 x.re)
cost-diff0
(*.f64 (neg.f64 x.re) y.im)
cost-diff0
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
cost-diff0
(/.f64 x.im y.re)
cost-diff0
(/.f64 x.im (hypot.f64 y.re y.im))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 y.re (hypot.f64 y.re y.im))
cost-diff19520
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
Rules
1175×fma-neg
897×fma-define
317×distribute-lft-neg-in
247×distribute-rgt-in
240×distribute-lft-in
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
036720
172704
2150704
3366692
4699692
51160692
61784692
73192678
84979674
95684674
105952674
115997674
126014674
136042668
146306668
156430668
166432668
176432668
186432668
196432668
206440668
216448668
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
x.re
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im
y.re
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re))
x.im
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
(*.f64 (neg.f64 x.re) y.im)
(neg.f64 x.re)
x.re
y.im
y.re
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 x.im y.re)
x.im
y.re
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
y.im
(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
x.re
(pow.f64 y.re #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
#s(literal -1 binary64)
(*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
x.re
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
y.im
(pow.f64 y.re #s(literal 2 binary64))
y.re
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (neg.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) x.im) (hypot.f64 y.re y.im)) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (*.f64 y.re (/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (*.f64 y.im x.re) (*.f64 y.re (neg.f64 x.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (neg.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (neg.f64 (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 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
x.re
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im
y.re
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (+.f64 x.im (*.f64 (neg.f64 x.re) (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 (neg.f64 x.re) (/.f64 y.im y.re) x.im) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im) y.re)
(+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re))
(+.f64 x.im (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)))
(fma.f64 (neg.f64 x.re) (/.f64 y.im y.re) x.im)
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
(fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im)
x.im
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
(*.f64 (neg.f64 x.re) (/.f64 y.im y.re))
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
(*.f64 x.re (/.f64 y.im (neg.f64 y.re)))
(*.f64 (neg.f64 x.re) y.im)
(*.f64 y.im (neg.f64 x.re))
(*.f64 x.re (neg.f64 y.im))
(neg.f64 x.re)
x.re
y.im
y.re
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (+.f64 x.im (*.f64 (neg.f64 x.re) (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 (neg.f64 x.re) (/.f64 y.im y.re) x.im) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im) y.re)
(/.f64 x.im y.re)
x.im
y.re
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
y.im
(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
x.re
(pow.f64 y.re #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(/.f64 (+.f64 x.im (*.f64 (neg.f64 x.re) (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 (neg.f64 x.re) (/.f64 y.im y.re) x.im) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im) y.re)
#s(literal -1 binary64)
(*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
x.re
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
y.im
(pow.f64 y.re #s(literal 2 binary64))
y.re
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im

localize455.0ms (3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x.im y.re)
accuracy94.4%
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
accuracy91.0%
(*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
accuracy90.1%
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
accuracy100.0%
(/.f64 x.im y.re)
accuracy94.4%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
accuracy91.1%
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
accuracy88.8%
(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
accuracy100.0%
(neg.f64 x.re)
accuracy100.0%
(+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re))
accuracy99.2%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
accuracy92.9%
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
accuracy100.0%
(/.f64 x.im y.re)
accuracy100.0%
(/.f64 y.re (hypot.f64 y.re y.im))
accuracy97.7%
(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))))))
accuracy95.6%
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
accuracy70.2%
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
Results
419.0ms256×0valid
Compiler

Compiled 184 to 28 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 16.0ms (29.3% of total)
ival-fma: 15.0ms (27.4% of total)
ival-mult: 7.0ms (12.8% of total)
ival-hypot: 5.0ms (9.1% of total)
ival-pow: 5.0ms (9.1% of total)
ival-neg: 2.0ms (3.7% of total)
ival-add: 1.0ms (1.8% of total)
ival-sub: 1.0ms (1.8% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series196.0ms (1.3%)

Counts
19 → 528
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))>
#<alt (/.f64 y.re (hypot.f64 y.re y.im))>
#<alt (hypot.f64 y.re y.im)>
#<alt (/.f64 x.im (hypot.f64 y.re y.im))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)>
#<alt (*.f64 (neg.f64 x.re) y.im)>
#<alt (neg.f64 x.re)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)>
#<alt (-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))>
#<alt (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))>
#<alt (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))>
#<alt (-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (-.f64 (*.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))>
#<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 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<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 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))>
#<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 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<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 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<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 (*.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)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 y.im y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 y.im y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 y.im y.re))))>
#<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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.re)>
#<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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
Calls

153 calls:

TimeVariablePointExpression
62.0ms
x.im
@-inf
(/ x.im y.re)
44.0ms
x.re
@-inf
(- (/ x.im y.re) (* y.im (/ x.re (pow y.re 2))))
6.0ms
y.re
@inf
(/ x.re (pow y.re 2))
3.0ms
y.im
@0
(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms
x.re
@-inf
(+ (* (/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))) (neg (* x.re (/ y.im (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2)))))

rewrite239.0ms (1.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
036554
1589512
Stop Event
node limit
Counts
19 → 514
Calls
Call 1
Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(/.f64 y.re (hypot.f64 y.re y.im))
(hypot.f64 y.re y.im)
(/.f64 x.im (hypot.f64 y.re y.im))
(/.f64 x.im y.re)
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
(*.f64 (neg.f64 x.re) y.im)
(neg.f64 x.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 y.re #s(literal 2 binary64))
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re))
Outputs
(+.f64 (/.f64 (*.f64 y.re x.im) (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 (*.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.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 (*.f64 y.re x.im) (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 (exp.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y.re x.im) (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 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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 (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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 (+.f64 (pow.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (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 (*.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (-.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)) (*.f64 (/.f64 (*.f64 y.re x.im) (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 (-.f64 (*.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.im) (pow.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 2 binary64))) (+.f64 (/.f64 (*.f64 y.re x.im) (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)))))
(pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.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))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (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))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 y.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 y.re (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(*.f64 (neg.f64 y.re) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) (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 y.re (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 y.re (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 y.re) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) y.re) #s(literal -1 binary64))
(neg.f64 (/.f64 y.re (neg.f64 (hypot.f64 y.re y.im))))
(neg.f64 (/.f64 (neg.f64 y.re) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.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 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1/2 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 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)))
(fabs.f64 (hypot.f64 y.re y.im))
(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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (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 x.im (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 x.im (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 x.im) (sqrt.f64 (hypot.f64 y.re y.im))))
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(pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 1 binary64))
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(*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(log.f64 (/.f64 (exp.f64 x.im) (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (*.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re) x.im)
(fma.f64 #s(literal 1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 y.im y.re)) x.im)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))

simplify590.0ms (3.9%)

Algorithm
egg-herbie
Rules
841×fma-define
817×times-frac
396×*-commutative
267×cancel-sign-sub-inv
218×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0161944408
1430642990
Stop Event
node limit
Counts
1042 → 1035
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(-.f64 (*.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re 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 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.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 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(/.f64 y.re y.im)
(*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 y.re (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 y.re (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 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 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
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#s(literal 1 binary64)
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y.im
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y.re
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y.im
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(cbrt.f64 (/.f64 (pow.f64 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 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(-.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 x.re (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) 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) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 y.im x.re)))
(/.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 0 binary64) (+.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)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.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))
(neg.f64 (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 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 (exp.f64 (*.f64 (*.f64 y.im x.re) (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 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #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 x.im (*.f64 x.re (/.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im)) (/.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(log.f64 (/.f64 (exp.f64 x.im) (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (*.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re) x.im)
(fma.f64 #s(literal 1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 y.im y.re)) x.im)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(fma.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 (neg.f64 x.re) y.im))
(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 (neg.f64 x.re) y.im))
(-.f64 (*.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im 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 (neg.f64 x.re) y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (neg.f64 x.re) 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 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.re (/.f64 (neg.f64 y.im) y.re) x.im) y.re)
(/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (+.f64 x.im (-.f64 (neg.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 (-.f64 (-.f64 x.im (*.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 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (*.f64 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 (-.f64 (fma.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) x.im) (fma.f64 x.re (/.f64 y.im y.re) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(neg.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) y.re))
(/.f64 (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (-.f64 (neg.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x.im) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)) (*.f64 x.re y.im))) y.re) x.im)) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (/.f64 x.re y.re)))) y.re) (*.f64 x.re y.im)) y.re))) y.re)
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.re (/.f64 (neg.f64 y.im) y.re) x.im) y.re)
(+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (neg.f64 (/.f64 (*.f64 y.im x.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (*.f64 (neg.f64 x.im) (/.f64 y.im (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.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 (neg.f64 x.re) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
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(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) #s(literal 3 binary64))))
(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 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #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 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #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 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #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 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 (neg.f64 y.im) y.re) x.im)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im)) (/.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (/.f64 y.im y.re)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (/.f64 y.im y.re))))
(*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (/.f64 y.im y.re)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(*.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (/.f64 y.im y.re)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (/.f64 y.im y.re))))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (/.f64 y.im y.re)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (/.f64 y.im y.re)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (/.f64 y.im y.re)))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) (/.f64 y.im y.re)))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (fma.f64 x.re (*.f64 (/.f64 y.im y.re) x.im) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)))
(pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(log.f64 (/.f64 (exp.f64 x.im) (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (*.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re) x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 #s(literal 1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 y.im y.re)) x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))

eval282.0ms (1.9%)

Compiler

Compiled 31870 to 4563 computations (85.7% saved)

prune380.0ms (2.5%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1265171282
Fresh5712
Picked325
Done011
Total1273271300
Accuracy
100.0%
Counts
1300 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.0%
(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 y.im)))
95.5%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
36.4%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.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))))))
49.5%
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)) (/.f64 x.im y.re))
37.0%
(/.f64 (/.f64 x.im (cbrt.f64 y.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
34.0%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
56.5%
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
56.2%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
58.0%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
62.6%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.8%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
51.3%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
50.1%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.re))) y.im) y.re)) y.re)
50.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
38.1%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
42.5%
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
45.9%
(/.f64 (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))) y.re)
44.7%
(/.f64 (neg.f64 x.re) y.im)
22.5%
(/.f64 (expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) y.re)
37.4%
(/.f64 x.im y.re)
37.2%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
29.2%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (pow.f64 (/.f64 (sqrt.f64 x.re) y.re) #s(literal 2 binary64))))
44.2%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (*.f64 y.re y.re))))
47.5%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
52.5%
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
41.8%
(*.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)))
37.3%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 824 to 505 computations (38.7% saved)

simplify459.0ms (3%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x.im (hypot.f64 y.re y.im))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 y.re (hypot.f64 y.re y.im))
cost-diff64
(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 y.im)))
cost-diff0
(pow.f64 y.im #s(literal 2 binary64))
cost-diff0
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
cost-diff0
(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
cost-diff128
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
cost-diff-6336
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
cost-diff-6336
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
cost-diff0
(*.f64 x.im y.re)
cost-diff0
(/.f64 (*.f64 x.im y.re) y.im)
cost-diff0
(neg.f64 x.re)
cost-diff0
(/.f64 (neg.f64 x.re) y.im)
cost-diff64
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
cost-diff64
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
cost-diff64
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
cost-diff19584
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
Rules
1301×fma-neg
949×fma-define
439×unsub-neg
368×distribute-rgt-in
357×associate-/r*
Iterations

Useful iterations: 12 (0.0ms)

IterNodesCost
036805
175777
2149777
3283763
4516763
5915763
61509763
72696746
84665740
95946740
106476740
116499740
126510734
136578734
147331734
157591734
167706734
177732734
187738734
197738734
207898734
217906734
227906734
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
x.re
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
(/.f64 y.im (hypot.f64 y.im y.re))
(hypot.f64 y.im y.re)
(/.f64 (neg.f64 x.re) y.im)
(neg.f64 x.re)
x.re
y.im
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(-.f64 (/.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
y.re
y.im
x.re
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
x.im
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
y.re
(pow.f64 y.im #s(literal 2 binary64))
y.im
#s(literal 2 binary64)
(/.f64 x.re y.im)
x.re
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (/.f64 x.re y.im))
(/.f64 x.re y.im)
x.re
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (neg.f64 (/.f64 y.im (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))))))
(-.f64 (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (*.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))) (*.f64 y.im (/.f64 x.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 x.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 y.im (/.f64 x.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 y.im x.re) (*.f64 y.re (/.f64 x.im #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (-.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(*.f64 x.re (neg.f64 (/.f64 y.im (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re)))))
(/.f64 (*.f64 (neg.f64 x.re) y.im) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 y.im (/.f64 (neg.f64 x.re) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(*.f64 x.re (/.f64 y.im (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))))
(*.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
x.re
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
(/.f64 y.im (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 y.im (hypot.f64 y.im y.re))
(/.f64 y.im (hypot.f64 y.re y.im))
(hypot.f64 y.im y.re)
(hypot.f64 y.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.re (neg.f64 y.im))
(neg.f64 x.re)
x.re
y.im
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 y.re (/.f64 x.im y.im))
(*.f64 x.im y.re)
(*.f64 y.re x.im)
x.im
y.re
y.im
x.re
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 y.re (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))
x.im
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
y.re
(pow.f64 y.im #s(literal 2 binary64))
y.im
#s(literal 2 binary64)
(/.f64 x.re y.im)
x.re
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 x.re (neg.f64 y.im)))
(fma.f64 y.re (/.f64 x.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (neg.f64 y.im)))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(/.f64 x.re y.im)
x.re

localize153.0ms (1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (/.f64 x.re y.im))
accuracy100.0%
(/.f64 x.im (hypot.f64 y.re y.im))
accuracy100.0%
(/.f64 y.re (hypot.f64 y.re y.im))
accuracy97.8%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
accuracy100.0%
(/.f64 x.re y.im)
accuracy95.2%
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
accuracy91.3%
(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
accuracy88.2%
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x.im y.re)
accuracy100.0%
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
accuracy99.9%
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
accuracy92.1%
(/.f64 (*.f64 x.im y.re) y.im)
accuracy100.0%
(/.f64 (neg.f64 x.re) y.im)
accuracy100.0%
(neg.f64 x.re)
accuracy100.0%
(/.f64 y.im (hypot.f64 y.im y.re))
accuracy99.9%
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
accuracy97.7%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
accuracy95.6%
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
Results
108.0ms256×0valid
Compiler

Compiled 194 to 28 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 17.0ms (35.9% of total)
ival-hypot: 9.0ms (19% of total)
ival-mult: 6.0ms (12.7% of total)
ival-fma: 5.0ms (10.6% of total)
ival-neg: 4.0ms (8.5% of total)
ival-pow: 3.0ms (6.3% of total)
ival-sub: 2.0ms (4.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series65.0ms (0.4%)

Counts
16 → 432
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))>
#<alt (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))>
#<alt (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))>
#<alt (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))>
#<alt (/.f64 (neg.f64 x.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))>
#<alt (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))>
#<alt (/.f64 y.im (hypot.f64 y.im y.re))>
#<alt (/.f64 x.re y.im)>
#<alt (neg.f64 (/.f64 x.re y.im))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))>
#<alt (-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (-.f64 (*.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))>
#<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 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<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 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))>
#<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 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<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 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<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 #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 x.re (*.f64 x.im y.im)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.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 x.re y.im)) (/.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 x.re y.im)) (/.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.re y.im))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (/.f64 y.im y.re)>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 (+.f64 y.im (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)>
#<alt (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.im (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
Calls

135 calls:

TimeVariablePointExpression
3.0ms
x.re
@-inf
(+ (* (/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))) (neg (* x.re (/ (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re)))) (sqrt (+ (* y.im y.im) (* y.re y.re)))))))
2.0ms
y.re
@0
(+ (* (/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))) (neg (/ x.re y.im)))
2.0ms
x.im
@inf
(* x.im (/ y.re (pow y.im 2)))
2.0ms
y.im
@0
(/ (* x.im y.re) y.im)
2.0ms
y.re
@-inf
(/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re))))

rewrite157.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
272×log1p-expm1-u
272×expm1-log1p-u
269×add-cube-cbrt
268×add-exp-log
268×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036585
1616481
Stop Event
node limit
Counts
16 → 535
Calls
Call 1
Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (*.f64 x.im y.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 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 y.im)))
(/.f64 y.im (hypot.f64 y.im y.re))
(/.f64 x.re y.im)
(neg.f64 (/.f64 x.re y.im))
Outputs
(+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))))
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(pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 x.re y.im))))
(*.f64 (sqrt.f64 (/.f64 x.re y.im)) (sqrt.f64 (/.f64 x.re y.im)))
(*.f64 (sqrt.f64 (/.f64 x.re y.im)) (neg.f64 (sqrt.f64 (/.f64 x.re y.im))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x.re y.im))) (sqrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) y.im))
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x.re y.im))) (sqrt.f64 (/.f64 x.re y.im)))
(/.f64 x.re y.im)
(/.f64 x.re (neg.f64 y.im))
(/.f64 x.re (neg.f64 (neg.f64 y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 y.im x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x.re y.im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64))) (/.f64 x.re y.im))
(pow.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im x.re) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)))
(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)))

simplify644.0ms (4.2%)

Algorithm
egg-herbie
Rules
783×fma-define
740×times-frac
351×*-commutative
257×sub-neg
205×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0149444785
1407742437
Stop Event
node limit
Counts
967 → 918
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(-.f64 (*.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re 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)
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(*.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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(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
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(*.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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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #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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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.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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(*.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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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) x.re) y.im)
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(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x.re y.im))) (sqrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) y.im))
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x.re y.im))) (sqrt.f64 (/.f64 x.re y.im)))
(pow.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im x.re) #s(literal -1 binary64))
(neg.f64 (/.f64 x.re y.im))
(sqrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)))
(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 #s(literal 0 binary64) (/.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re y.im))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y.im)) (/.f64 x.re y.im))
(-.f64 (/.f64 #s(literal 0 binary64) y.im) (/.f64 x.re y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (neg.f64 (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 x.re y.im))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 x.re y.im))))
(*.f64 (sqrt.f64 (/.f64 x.re y.im)) (sqrt.f64 (/.f64 x.re y.im)))
(*.f64 (sqrt.f64 (/.f64 x.re y.im)) (neg.f64 (sqrt.f64 (/.f64 x.re y.im))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x.re y.im))) (sqrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) y.im))
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x.re y.im))) (sqrt.f64 (/.f64 x.re y.im)))
(/.f64 x.re y.im)
(/.f64 x.re (neg.f64 y.im))
(/.f64 x.re (neg.f64 (neg.f64 y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 y.im x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x.re y.im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64))) (/.f64 x.re y.im))
(pow.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im x.re) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 x.re y.im)))
(exp.f64 (log.f64 (/.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re y.im)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(fma.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 (neg.f64 y.im)))
(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 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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(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)))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 4 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 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (+.f64 x.im (-.f64 (neg.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 (-.f64 (-.f64 x.im (*.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 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 x.re (/.f64 y.im y.re)) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (-.f64 (fma.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))) x.im) (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)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (-.f64 (neg.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (*.f64 (neg.f64 x.im) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)) (*.f64 x.re y.im)) y.re))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)))) y.re) (*.f64 x.re y.im)) y.re))) y.re)
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (neg.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (/.f64 (neg.f64 (*.f64 y.im x.im)) (pow.f64 y.re #s(literal 3 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.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)))) (neg.f64 (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) x.re)) y.im)
(/.f64 (-.f64 (fma.f64 x.re (/.f64 (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) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (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 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(/.f64 (-.f64 (-.f64 (fma.f64 x.re (/.f64 (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 x.im (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(neg.f64 (/.f64 (+.f64 x.re (*.f64 y.re (/.f64 x.im (neg.f64 y.im)))) y.im))
(/.f64 (neg.f64 (-.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)) x.re) y.im))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 x.im y.re)) y.im) x.re)) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.im (/.f64 (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)) x.re) y.im))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.im y.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) y.im) x.re)) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.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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(/.f64 x.re y.im)
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 x.re (cbrt.f64 y.im)) (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 x.re (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.re (sqrt.f64 y.im)))
(*.f64 (/.f64 x.re (sqrt.f64 y.im)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y.im)))
(/.f64 (neg.f64 (/.f64 x.re (sqrt.f64 y.im))) (sqrt.f64 y.im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(/.f64 x.re (neg.f64 y.im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(/.f64 x.re (neg.f64 y.im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x.re y.im))) (sqrt.f64 (/.f64 x.re y.im)))
(/.f64 x.re (neg.f64 y.im))
(/.f64 x.re y.im)
(/.f64 x.re (neg.f64 y.im))
(/.f64 x.re (neg.f64 (neg.f64 y.im)))
(/.f64 x.re y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 x.re y.im)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) #s(literal 1 binary64)))
(/.f64 x.re y.im)
(/.f64 #s(literal -1 binary64) (/.f64 y.im x.re))
(/.f64 x.re (neg.f64 y.im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x.re y.im)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64))) (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64))) (/.f64 x.re y.im))
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64))) x.re) y.im)
(pow.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(/.f64 x.re y.im)
(pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 3 binary64))
(/.f64 x.re y.im)
(pow.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x.re y.im)
(pow.f64 (sqrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))
(/.f64 x.re y.im)
(pow.f64 (/.f64 y.im x.re) #s(literal -1 binary64))
(/.f64 x.re y.im)
(sqrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x.re y.im))
(log.f64 (exp.f64 (/.f64 x.re y.im)))
(/.f64 x.re y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re y.im))))
(/.f64 x.re y.im)
(cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)))
(/.f64 x.re y.im)
(expm1.f64 (log1p.f64 (/.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 x.re y.im)))
(/.f64 x.re y.im)
(exp.f64 (log.f64 (/.f64 x.re y.im)))
(/.f64 x.re y.im)
(exp.f64 (*.f64 (log.f64 (/.f64 x.re y.im)) #s(literal 1 binary64)))
(/.f64 x.re y.im)

eval304.0ms (2%)

Compiler

Compiled 44497 to 5119 computations (88.5% saved)

prune499.0ms (3.3%)

Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New1627141641
Fresh61319
Picked325
Done033
Total1636321668
Accuracy
100.0%
Counts
1668 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
65.0%
(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 y.im)))
95.3%
(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 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))
94.9%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 (/.f64 y.im (cbrt.f64 (hypot.f64 y.im y.re))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (hypot.f64 y.im y.re)))))
51.3%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))))
31.2%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.re y.im))) (neg.f64 (/.f64 x.re y.im)))
55.3%
(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
36.4%
(fma.f64 #s(literal -1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
23.0%
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
56.2%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
58.0%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
62.6%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
51.3%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
50.1%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.re))) y.im) y.re)) y.re)
50.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
38.1%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
42.5%
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
45.9%
(/.f64 (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))) y.re)
44.7%
(/.f64 (neg.f64 x.re) y.im)
10.6%
(/.f64 x.re y.im)
37.4%
(/.f64 x.im y.re)
37.2%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
29.2%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (pow.f64 (/.f64 (sqrt.f64 x.re) y.re) #s(literal 2 binary64))))
44.2%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (*.f64 y.re y.re))))
47.5%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
46.3%
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
55.6%
(-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
52.5%
(-.f64 (*.f64 x.im (/.f64 y.re (*.f64 y.im y.im))) (/.f64 x.re y.im))
20.8%
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
41.8%
(*.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)))
43.2%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
37.3%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 997 to 597 computations (40.1% saved)

simplify218.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (neg.f64 x.im) y.im)
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 y.re (hypot.f64 y.re y.im))
cost-diff128
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
cost-diff0
(/.f64 x.im y.re)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))
cost-diff128
(*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re)))
cost-diff128
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
cost-diff-6336
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
cost-diff-6336
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) 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 y.im)
cost-diff19264
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re))
cost-diff19264
(*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))
cost-diff19264
(neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re))))
cost-diff32128
(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 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))
Rules
1274×fma-define
816×fma-neg
563×div-sub
543×distribute-lft-in
387×times-frac
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
041886
197868
2226852
3590844
41488841
53093841
64452837
76211825
86739825
96945825
107068821
117912821
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re))))
(*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))
x.re
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re))
(pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64))
(cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))
(/.f64 y.im (hypot.f64 y.im y.re))
(hypot.f64 y.im y.re)
#s(literal 3 binary64)
(/.f64 x.re y.im)
x.re
y.im
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.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
x.re
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(/.f64 x.im y.re)
x.im
y.re
(*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re)))
y.im
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))
(/.f64 #s(literal 1 binary64) y.re)
#s(literal 1 binary64)
(/.f64 x.re y.re)
x.re
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 (neg.f64 x.im) y.im)
(neg.f64 x.im)
x.im
(neg.f64 (/.f64 x.re y.im))
(/.f64 x.re y.im)
x.re
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (neg.f64 (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im)))))
(-.f64 (/.f64 (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)) (*.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (*.f64 y.im y.im)))))
(fma.f64 y.re (/.f64 x.im (fma.f64 y.re y.re (*.f64 y.im y.im))) (*.f64 x.re (/.f64 (neg.f64 y.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))))
(fma.f64 y.re (/.f64 x.im (fma.f64 y.re y.re (*.f64 y.im y.im))) (*.f64 y.im (/.f64 (neg.f64 x.re) (fma.f64 y.re y.re (*.f64 y.im y.im)))))
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (-.f64 (*.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.re x.im) (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 (*.f64 y.im x.re) (*.f64 y.re x.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 (*.f64 y.re x.im) (*.f64 y.im x.re))))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re))))
(*.f64 x.re (neg.f64 (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.re (/.f64 y.im (neg.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (fma.f64 y.re y.re (*.f64 y.im y.im))))
(*.f64 y.im (/.f64 (neg.f64 x.re) (fma.f64 y.re y.re (*.f64 y.im y.im))))
(*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))
(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(*.f64 x.re (/.f64 y.im (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))))
(*.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (*.f64 y.im y.im))))
(/.f64 (*.f64 y.im x.re) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 y.im (/.f64 x.re (fma.f64 y.re y.re (*.f64 y.im y.im))))
x.re
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re))
(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
(/.f64 y.im (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 y.im (fma.f64 y.re y.re (*.f64 y.im y.im)))
(pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64))
(/.f64 y.im (hypot.f64 y.im y.re))
(/.f64 y.im (hypot.f64 y.re y.im))
(cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))
(cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im)))
(/.f64 y.im (hypot.f64 y.im y.re))
(/.f64 y.im (hypot.f64 y.re y.im))
(hypot.f64 y.im y.re)
(hypot.f64 y.re y.im)
#s(literal 3 binary64)
(/.f64 x.re y.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 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re))
(*.f64 y.re (/.f64 x.im y.im))
y.re
(/.f64 x.im y.im)
x.im
y.im
x.re
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(fma.f64 (/.f64 x.re (*.f64 y.re y.re)) (neg.f64 y.im) (/.f64 x.im y.re))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (*.f64 y.re y.re))))
(/.f64 x.im y.re)
x.im
y.re
(*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re)))
(*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re))
(*.f64 y.im (/.f64 x.re (*.f64 y.re y.re)))
(*.f64 x.re (/.f64 y.im (*.f64 y.re y.re)))
y.im
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))
(/.f64 (/.f64 x.re y.re) y.re)
(/.f64 x.re (*.f64 y.re y.re))
(/.f64 #s(literal 1 binary64) y.re)
#s(literal 1 binary64)
(/.f64 x.re y.re)
x.re
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (/.f64 x.re (neg.f64 y.im)))
(-.f64 (/.f64 (*.f64 y.re (/.f64 (neg.f64 x.im) y.im)) (hypot.f64 y.re y.im)) (/.f64 x.re y.im))
(-.f64 (/.f64 x.re (neg.f64 y.im)) (*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im y.im)))
(neg.f64 (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im y.im) (/.f64 x.re y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) y.im) (+.f64 x.re (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))))
(*.f64 (/.f64 #s(literal -1 binary64) y.im) (+.f64 x.re (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal -1 binary64) y.im) (fma.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)) x.re))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 (neg.f64 x.im) y.im)
(/.f64 x.im (neg.f64 y.im))
(neg.f64 x.im)
x.im
(neg.f64 (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(/.f64 x.re y.im)
x.re

localize290.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (/.f64 x.re y.im))
accuracy100.0%
(neg.f64 x.im)
accuracy100.0%
(/.f64 y.re (hypot.f64 y.re y.im))
accuracy96.4%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y.re)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))
accuracy94.4%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
accuracy91.1%
(*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re)))
accuracy100.0%
(/.f64 x.im y.im)
accuracy100.0%
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
accuracy99.9%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
accuracy90.4%
(*.f64 y.re (/.f64 x.im y.im))
accuracy100.0%
(/.f64 x.re y.im)
accuracy99.6%
(pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64))
accuracy97.7%
(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 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))
accuracy95.6%
(*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))
accuracy88.1%
(cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))
Results
240.0ms256×0valid
Compiler

Compiled 227 to 33 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 20.0ms (36.2% of total)
ival-hypot: 9.0ms (16.3% of total)
ival-mult: 7.0ms (12.7% of total)
ival-fma: 6.0ms (10.8% of total)
ival-pow: 6.0ms (10.8% of total)
ival-neg: 3.0ms (5.4% of total)
ival-cbrt: 2.0ms (3.6% of total)
ival-sub: 2.0ms (3.6% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series236.0ms (1.6%)

Counts
18 → 516
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))>
#<alt (neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re))))>
#<alt (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))>
#<alt (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re))>
#<alt (/.f64 x.re y.im)>
#<alt (*.f64 y.re (/.f64 x.im y.im))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)>
#<alt (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)>
#<alt (-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))>
#<alt (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))>
#<alt (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))>
#<alt (/.f64 (neg.f64 x.im) y.im)>
#<alt (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))>
#<alt (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (neg.f64 x.im)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))>
#<alt (-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (-.f64 (*.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))>
#<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 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<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 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))>
#<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 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)>
#<alt (/.f64 (*.f64 x.re (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 x.re (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) y.im)) (*.f64 x.im y.re)) y.im)) (*.f64 x.re (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 x.re (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) y.im))>
#<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 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<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 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.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) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.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) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (cbrt.f64 #s(literal -1 binary64)))) (+.f64 (*.f64 (cbrt.f64 (/.f64 y.im y.re)) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 (cbrt.f64 (/.f64 y.im (pow.f64 y.re #s(literal 13 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/144 binary64) (+.f64 (*.f64 #s(literal -12 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 24 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (*.f64 #s(literal 1/72 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (*.f64 (cbrt.f64 (/.f64 y.im (pow.f64 y.re #s(literal 19 binary64)))) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/864 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -12 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 24 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal -1/1296 binary64) (pow.f64 y.im #s(literal 6 binary64))) (*.f64 #s(literal 1/4320 binary64) (+.f64 (*.f64 #s(literal -720 binary64) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal -240 binary64) (pow.f64 y.im #s(literal 6 binary64))) (*.f64 #s(literal 720 binary64) (pow.f64 y.im #s(literal 6 binary64)))))))))))))>
#<alt (/.f64 y.im y.re)>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 (+.f64 y.im (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)>
#<alt (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.im (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
Calls

144 calls:

TimeVariablePointExpression
125.0ms
y.re
@-inf
(/ 1 y.re)
40.0ms
y.im
@0
(* x.re (/ (pow (cbrt (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re))))) 3) (sqrt (+ (* y.im y.im) (* y.re y.re)))))
3.0ms
y.re
@-inf
(cbrt (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re)))))
2.0ms
y.im
@inf
(cbrt (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re)))))
2.0ms
y.im
@0
(cbrt (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re)))))

rewrite159.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
311×log1p-expm1-u
311×expm1-log1p-u
306×add-cube-cbrt
305×add-exp-log
305×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041611
1715546
Stop Event
node limit
Counts
18 → 475
Calls
Call 1
Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))
(neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re))))
(*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re))
(/.f64 x.re y.im)
(*.f64 y.re (/.f64 x.im y.im))
(/.f64 x.im y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(/.f64 (neg.f64 x.im) y.im)
(cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))
(pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(neg.f64 x.im)
Outputs
(+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
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(exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 y.im #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
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(*.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 #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 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (cbrt.f64 y.im) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 y.im) (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(*.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (hypot.f64 y.im y.re) y.im)))
(/.f64 (cbrt.f64 y.im) (cbrt.f64 (hypot.f64 y.im y.re)))
(/.f64 (cbrt.f64 (neg.f64 y.im)) (cbrt.f64 (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (neg.f64 (cbrt.f64 y.im)) (neg.f64 (cbrt.f64 (hypot.f64 y.im y.re))))
(pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.im y.re)))) #s(literal 1 binary64))
(*.f64 y.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y.im (hypot.f64 y.im y.re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 y.im (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (cbrt.f64 y.im) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 (hypot.f64 y.im y.re))))
(/.f64 y.im (hypot.f64 y.im y.re))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) y.im))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 y.im y.re) y.im)))
(/.f64 (neg.f64 y.im) (neg.f64 (hypot.f64 y.im y.re)))
(/.f64 (neg.f64 (neg.f64 y.im)) (neg.f64 (neg.f64 (hypot.f64 y.im y.re))))
(sqrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(exp.f64 (log.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)))
(*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (pow.f64 y.re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)))
(pow.f64 y.re #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y.re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re #s(literal 1 binary64)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 y.re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y.re))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y.re)))
(exp.f64 (neg.f64 (log.f64 y.re)))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y.re)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x.im)
(-.f64 (exp.f64 (log1p.f64 x.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im))
(*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))
(pow.f64 x.im #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x.im) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x.im #s(literal 2 binary64)))
(log.f64 (exp.f64 x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x.im)))
(cbrt.f64 (pow.f64 x.im #s(literal 3 binary64)))
x.im
(expm1.f64 (log1p.f64 x.im))
(log1p.f64 (expm1.f64 x.im))
(exp.f64 (log.f64 x.im))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 1 binary64)))

simplify812.0ms (5.3%)

Algorithm
egg-herbie
Rules
864×times-frac
455×*-commutative
315×cancel-sign-sub-inv
260×sub-neg
246×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0176346291
1498544610
Stop Event
node limit
Counts
991 → 977
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(-.f64 (*.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re 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 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(/.f64 (*.f64 x.re (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 x.re (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) y.im)) (*.f64 x.im y.re)) y.im)) (*.f64 x.re (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.re (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 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 x.re (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.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))))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(/.f64 y.im y.re)
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(*.f64 #s(literal -1 binary64) x.im)
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(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 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (cbrt.f64 y.im) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 y.im) (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(*.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (hypot.f64 y.im y.re) y.im)))
(/.f64 (cbrt.f64 y.im) (cbrt.f64 (hypot.f64 y.im y.re)))
(/.f64 (cbrt.f64 (neg.f64 y.im)) (cbrt.f64 (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (neg.f64 (cbrt.f64 y.im)) (neg.f64 (cbrt.f64 (hypot.f64 y.im y.re))))
(pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.im y.re)))) #s(literal 1 binary64))
(*.f64 y.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y.im (hypot.f64 y.im y.re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 y.im (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (cbrt.f64 y.im) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 (hypot.f64 y.im y.re))))
(/.f64 y.im (hypot.f64 y.im y.re))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) y.im))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 y.im y.re) y.im)))
(/.f64 (neg.f64 y.im) (neg.f64 (hypot.f64 y.im y.re)))
(/.f64 (neg.f64 (neg.f64 y.im)) (neg.f64 (neg.f64 (hypot.f64 y.im y.re))))
(sqrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im (hypot.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(exp.f64 (log.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)))
(*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (pow.f64 y.re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)))
(pow.f64 y.re #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y.re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re #s(literal 1 binary64)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 y.re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y.re))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y.re)))
(exp.f64 (neg.f64 (log.f64 y.re)))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y.re)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x.im)
(-.f64 (exp.f64 (log1p.f64 x.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x.im)
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im))
(*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))
(pow.f64 x.im #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x.im) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x.im #s(literal 2 binary64)))
(log.f64 (exp.f64 x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x.im)))
(cbrt.f64 (pow.f64 x.im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x.im))
(log1p.f64 (expm1.f64 x.im))
(exp.f64 (log.f64 x.im))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(fma.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 (neg.f64 y.im)))
(-.f64 (*.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(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)))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 4 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 (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (+.f64 x.im (-.f64 (neg.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 (-.f64 (-.f64 x.im (*.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 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 x.re (/.f64 y.im y.re)) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (-.f64 (neg.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re) (*.f64 x.re y.im)) y.re))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)))) y.re) (*.f64 x.re y.im)) y.re))) y.re)
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (neg.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (/.f64 (neg.f64 (*.f64 y.im x.im)) (pow.f64 y.re #s(literal 3 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (+.f64 (*.f64 x.im (/.f64 y.re y.im)) (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) x.re)) y.im)
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(/.f64 y.im y.re)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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(/.f64 y.im y.re)
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(*.f64 #s(literal -1 binary64) (/.f64 y.im y.re))
(/.f64 (neg.f64 y.im) y.re)
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(/.f64 y.im (hypot.f64 y.im y.re))
(exp.f64 (log.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(/.f64 y.im (hypot.f64 y.im y.re))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 1 binary64)))
(/.f64 y.im (hypot.f64 y.im y.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) y.re)
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)))
(/.f64 (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))) (cbrt.f64 y.re))
(*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (pow.f64 y.re #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) y.re)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y.re) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 y.re) #s(literal -2 binary64))
(pow.f64 y.re #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(pow.f64 (pow.f64 y.re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(pow.f64 (/.f64 y.re #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) y.re)
(sqrt.f64 (pow.f64 y.re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y.re)))
(/.f64 #s(literal 1 binary64) y.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y.re))))
(/.f64 #s(literal 1 binary64) y.re)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) y.re)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y.re)))
(/.f64 #s(literal 1 binary64) y.re)
(exp.f64 (neg.f64 (log.f64 y.re)))
(/.f64 #s(literal 1 binary64) y.re)
(exp.f64 (*.f64 (log.f64 y.re) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) y.re)
(exp.f64 (*.f64 (neg.f64 (log.f64 y.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) y.re)
(-.f64 #s(literal 0 binary64) x.im)
(neg.f64 x.im)
(-.f64 (exp.f64 (log1p.f64 x.im)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 x.im))
(*.f64 #s(literal 1 binary64) x.im)
x.im
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im))
x.im
(*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))
x.im
(pow.f64 x.im #s(literal 1 binary64))
x.im
(pow.f64 (cbrt.f64 x.im) #s(literal 3 binary64))
x.im
(pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1/3 binary64))
x.im
(pow.f64 (sqrt.f64 x.im) #s(literal 2 binary64))
x.im
(sqrt.f64 (pow.f64 x.im #s(literal 2 binary64)))
(fabs.f64 x.im)
(log.f64 (exp.f64 x.im))
x.im
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x.im)))
x.im
(cbrt.f64 (pow.f64 x.im #s(literal 3 binary64)))
x.im
(expm1.f64 (log1p.f64 x.im))
(log1p.f64 (expm1.f64 x.im))
x.im
(exp.f64 (log.f64 x.im))
x.im
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 1 binary64)))
x.im

eval258.0ms (1.7%)

Compiler

Compiled 41005 to 5562 computations (86.4% saved)

prune548.0ms (3.6%)

Pruning

39 alts after pruning (31 fresh and 8 done)

PrunedKeptTotal
New1454121466
Fresh31922
Picked235
Done055
Total1459391498
Accuracy
100.0%
Counts
1498 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(fma.f64 (/.f64 y.re (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
50.0%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
65.0%
(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 y.im)))
94.9%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 (/.f64 y.im (cbrt.f64 (hypot.f64 y.im y.re))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (hypot.f64 y.im y.re)))))
51.3%
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))))
50.0%
(fma.f64 (*.f64 y.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
55.1%
(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))
55.3%
(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
36.4%
(fma.f64 #s(literal -1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
55.5%
(pow.f64 (/.f64 y.im (fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re))) #s(literal -1 binary64))
23.0%
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
56.0%
(/.f64 (-.f64 (*.f64 y.re (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))) x.re) y.im)
56.2%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
58.0%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
62.6%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
29.8%
(/.f64 (-.f64 (neg.f64 x.im) x.re) y.im)
51.3%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
50.1%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.re))) y.im) y.re)) y.re)
50.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
38.1%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
42.5%
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
45.9%
(/.f64 (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))) y.re)
44.7%
(/.f64 (neg.f64 x.re) y.im)
10.6%
(/.f64 x.re y.im)
37.4%
(/.f64 x.im y.re)
37.2%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
10.6%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
22.7%
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) x.im) (sqrt.f64 y.re)) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
29.2%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (pow.f64 (/.f64 (sqrt.f64 x.re) y.re) #s(literal 2 binary64))))
47.5%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
44.2%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (*.f64 y.re y.re))))
47.3%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.re x.re) y.re))))
30.4%
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.im))
55.6%
(-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
52.5%
(-.f64 (*.f64 x.im (/.f64 y.re (*.f64 y.im y.im))) (/.f64 x.re y.im))
41.8%
(*.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)))
57.3%
(*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
43.2%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
37.3%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 1455 to 616 computations (57.7% saved)

regimes95.0ms (0.6%)

Counts
62 → 1
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (-.f64 (neg.f64 x.im) x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.im))
(/.f64 (/.f64 (*.f64 x.im y.re) y.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 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(-.f64 (*.f64 x.im (/.f64 y.re (*.f64 y.im y.im))) (/.f64 x.re y.im))
(-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (*.f64 y.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(/.f64 (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))) y.re)
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.re x.re) y.re))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)) (/.f64 x.im y.re))
(+.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 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (/.f64 y.im (fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (pow.f64 (/.f64 (sqrt.f64 x.re) y.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 y.re (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))) x.re) y.im)
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.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 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 (*.f64 y.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) x.im) (sqrt.f64 y.re)) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(/.f64 (/.f64 x.im (cbrt.f64 y.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) y.re)
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re 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 (+.f64 x.im (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.re))) y.im) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.re y.im))) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(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 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.re y.im))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 (/.f64 y.im (cbrt.f64 (hypot.f64 y.im y.re))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (hypot.f64 y.im y.re)))))
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
Calls

5 calls:

20.0ms
x.re
18.0ms
x.im
17.0ms
y.re
17.0ms
y.im
17.0ms
(/.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
95.5%1x.re
95.5%1x.im
95.5%1y.re
95.5%1y.im
95.5%1(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes90.0ms (0.6%)

Counts
55 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (-.f64 (neg.f64 x.im) x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.im))
(/.f64 (/.f64 (*.f64 x.im y.re) y.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 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(-.f64 (*.f64 x.im (/.f64 y.re (*.f64 y.im y.im))) (/.f64 x.re y.im))
(-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (*.f64 y.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(/.f64 (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))) y.re)
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.re x.re) y.re))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)) (/.f64 x.im y.re))
(+.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 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (/.f64 y.im (fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (pow.f64 (/.f64 (sqrt.f64 x.re) y.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 y.re (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))) x.re) y.im)
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.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 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 (*.f64 y.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) x.im) (sqrt.f64 y.re)) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(/.f64 (/.f64 x.im (cbrt.f64 y.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) y.re)
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re 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 (+.f64 x.im (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.re))) y.im) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.re y.im))) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
Outputs
(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 y.im)))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(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 y.im)))
Calls

5 calls:

18.0ms
y.re
17.0ms
x.im
17.0ms
y.im
17.0ms
x.re
15.0ms
(/.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
78.9%2x.re
84.3%5x.im
88.0%3y.re
94.4%5y.im
81.3%2(/.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)

regimes160.0ms (1.1%)

Counts
54 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (-.f64 (neg.f64 x.im) x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.im))
(/.f64 (/.f64 (*.f64 x.im y.re) y.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 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(-.f64 (*.f64 x.im (/.f64 y.re (*.f64 y.im y.im))) (/.f64 x.re y.im))
(-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (*.f64 y.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(/.f64 (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))) y.re)
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.re x.re) y.re))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)) (/.f64 x.im y.re))
(+.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 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (/.f64 y.im (fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (pow.f64 (/.f64 (sqrt.f64 x.re) y.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 y.re (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))) x.re) y.im)
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.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 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 (*.f64 y.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) x.im) (sqrt.f64 y.re)) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(/.f64 (/.f64 x.im (cbrt.f64 y.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) y.re)
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re 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 (+.f64 x.im (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.re))) y.im) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.re y.im))) (neg.f64 (/.f64 x.re y.im)))
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) 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)))
(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 y.im)))
Calls

1 calls:

155.0ms
y.im
Results
AccuracySegmentsBranch
90.8%4y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes92.0ms (0.6%)

Counts
46 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (-.f64 (neg.f64 x.im) x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.im))
(/.f64 (/.f64 (*.f64 x.im y.re) y.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 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(-.f64 (*.f64 x.im (/.f64 y.re (*.f64 y.im y.im))) (/.f64 x.re y.im))
(-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (*.f64 y.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(/.f64 (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))) y.re)
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.re x.re) y.re))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)) (/.f64 x.im y.re))
(+.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 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (/.f64 y.im (fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (pow.f64 (/.f64 (sqrt.f64 x.re) y.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 y.re (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))) x.re) y.im)
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.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 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(fma.f64 (*.f64 y.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) x.im) (sqrt.f64 y.re)) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(/.f64 (/.f64 x.im (cbrt.f64 y.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(/.f64 (expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) y.re)
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im)))
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) 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 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
Calls

2 calls:

59.0ms
y.re
30.0ms
y.im
Results
AccuracySegmentsBranch
85.6%5y.re
87.9%4y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.1%)

Counts
40 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (-.f64 (neg.f64 x.im) x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.im))
(/.f64 (/.f64 (*.f64 x.im y.re) y.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 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(-.f64 (*.f64 x.im (/.f64 y.re (*.f64 y.im y.im))) (/.f64 x.re y.im))
(-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (*.f64 y.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(/.f64 (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))) y.re)
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.re x.re) y.re))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)) (/.f64 x.im y.re))
(+.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 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (/.f64 y.im (fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (pow.f64 (/.f64 (sqrt.f64 x.re) y.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 y.re (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))) x.re) y.im)
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.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)))
Outputs
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) 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 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
Calls

1 calls:

12.0ms
y.im
Results
AccuracySegmentsBranch
87.8%4y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Counts
24 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (-.f64 (neg.f64 x.im) x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.im))
(/.f64 (/.f64 (*.f64 x.im y.re) y.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 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(-.f64 (*.f64 x.im (/.f64 y.re (*.f64 y.im y.im))) (/.f64 x.re y.im))
(-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (*.f64 y.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(/.f64 (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))) y.re)
(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.re x.re) y.re))))
Outputs
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
Calls

1 calls:

8.0ms
y.im
Results
AccuracySegmentsBranch
85.3%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

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

1 calls:

5.0ms
y.im
Results
AccuracySegmentsBranch
85.3%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

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

1 calls:

5.0ms
y.im
Results
AccuracySegmentsBranch
84.7%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0%)

Counts
11 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (-.f64 (neg.f64 x.im) x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.im))
(/.f64 (/.f64 (*.f64 x.im y.re) y.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)
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:

4.0ms
y.im
Results
AccuracySegmentsBranch
84.4%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes29.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (-.f64 (neg.f64 x.im) x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.im))
(/.f64 (/.f64 (*.f64 x.im y.re) y.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

4 calls:

17.0ms
x.re
4.0ms
x.im
4.0ms
y.im
4.0ms
y.re
Results
AccuracySegmentsBranch
60.6%6x.re
54.7%3x.im
70.5%3y.re
77.3%3y.im
Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0%)

Counts
9 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (-.f64 (neg.f64 x.im) x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.im))
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
Outputs
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
Calls

2 calls:

3.0ms
y.re
3.0ms
y.im
Results
AccuracySegmentsBranch
63.6%3y.re
66.1%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
Outputs
(/.f64 x.re y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
Calls

4 calls:

2.0ms
x.re
2.0ms
y.im
1.0ms
x.im
1.0ms
y.re
Results
AccuracySegmentsBranch
37.4%1x.im
37.4%1x.re
37.4%1y.re
42.4%3y.im
Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

2.0ms
x.re
1.0ms
y.im
Results
AccuracySegmentsBranch
37.4%1x.re
37.4%1y.im
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch81.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.494041738749201e+136
6.080171068322004e+137
17.0ms
2.4176722584988e-170
1.2235354268434813e-166
23.0ms
-5.829803127730352e-97
-1.02249699769243e-120
21.0ms
-7.317886950230696e+114
-8.14070266836121e+104
Results
51.0ms576×0valid
Compiler

Compiled 1587 to 898 computations (43.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 17.0ms (61.2% of total)
ival-div: 4.0ms (14.4% of total)
ival-sub: 3.0ms (10.8% of total)
ival-add: 3.0ms (10.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch62.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.3197594360289364e+25
1.864913928174652e+29
19.0ms
6.00970436341519e-119
1.7487138530053656e-109
22.0ms
-4.2593052272749926e-29
-2.254454041026347e-40
Results
40.0ms432×0valid
Compiler

Compiled 1011 to 609 computations (39.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (62.2% of total)
ival-div: 4.0ms (19.1% of total)
ival-sub: 2.0ms (9.6% of total)
ival-add: 2.0ms (9.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.3197594360289364e+25
1.864913928174652e+29
18.0ms
6.00970436341519e-119
1.7487138530053656e-109
17.0ms
-6.43503483685198e-9
-7.153284046104528e-13
Results
36.0ms400×0valid
Compiler

Compiled 901 to 567 computations (37.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 13.0ms (64.3% of total)
ival-div: 3.0ms (14.8% of total)
ival-sub: 2.0ms (9.9% of total)
ival-add: 2.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.3197594360289364e+25
1.864913928174652e+29
18.0ms
6.00970436341519e-119
1.7487138530053656e-109
17.0ms
-6.43503483685198e-9
-7.153284046104528e-13
Results
36.0ms400×0valid
Compiler

Compiled 861 to 543 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 14.0ms (67.6% of total)
ival-div: 3.0ms (14.5% of total)
ival-sub: 2.0ms (9.7% of total)
ival-add: 2.0ms (9.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
3.55744827057523e-8
4.5017288874136417e-7
17.0ms
-6.43503483685198e-9
-7.153284046104528e-13
Results
20.0ms224×0valid
Compiler

Compiled 444 to 289 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (67.2% of total)
ival-sub: 1.0ms (8.4% of total)
ival-div: 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)

bsearch37.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
3.55744827057523e-8
4.5017288874136417e-7
20.0ms
-6.43503483685198e-9
-7.153284046104528e-13
Results
23.0ms224×0valid
Compiler

Compiled 432 to 283 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (66.9% of total)
ival-sub: 1.0ms (9.6% of total)
ival-div: 1.0ms (9.6% of total)
ival-add: 1.0ms (9.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.55744827057523e-8
4.5017288874136417e-7
17.0ms
-6.43503483685198e-9
-7.153284046104528e-13
Results
20.0ms224×0valid
Compiler

Compiled 418 to 269 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.3% of total)
ival-sub: 1.0ms (9.3% of total)
ival-div: 1.0ms (9.3% of total)
ival-add: 1.0ms (9.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
3.55744827057523e-8
4.5017288874136417e-7
20.0ms
-6.43503483685198e-9
-7.153284046104528e-13
Results
23.0ms224×0valid
Compiler

Compiled 418 to 269 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 11.0ms (72.6% of total)
ival-sub: 1.0ms (6.6% of total)
ival-div: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
3.55744827057523e-8
4.5017288874136417e-7
17.0ms
-6.43503483685198e-9
-7.153284046104528e-13
Results
21.0ms224×0valid
Compiler

Compiled 348 to 241 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (63.4% of total)
ival-add: 2.0ms (15.9% of total)
ival-sub: 1.0ms (7.9% of total)
ival-div: 1.0ms (7.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
2.1833351146317937e-70
2.384030540087587e-68
19.0ms
-6.43503483685198e-9
-7.153284046104528e-13
Results
25.0ms240×0valid
Compiler

Compiled 281 to 212 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (70.3% of total)
ival-div: 2.0ms (14.1% of total)
ival-sub: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
9.133175563088456e+103
2.799904223945936e+104
14.0ms
-8.14070266836121e+104
-2.0485796596117838e+103
Results
19.0ms192×0valid
Compiler

Compiled 218 to 161 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (73.4% of total)
ival-sub: 1.0ms (8.2% of total)
ival-div: 1.0ms (8.2% of total)
ival-add: 1.0ms (8.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify41.0ms (0.3%)

Algorithm
egg-herbie
Rules
26×*-commutative
24×+-commutative
22×sub-neg
17×neg-sub0
17×neg-mul-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01441999
12091999
22601975
32941975
43121975
53191975
63201975
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(if (<=.f64 y.im #s(literal -5499999999999999829258344401558426746072502942719584131209195509571253402761163429291052550855894959463684112384 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 y.im))) (if (<=.f64 y.im #s(literal -1162941958872971/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 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)))))) (if (<=.f64 y.im #s(literal 6798566308054619/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 68999999999999999787107928791707653380421461955921807633832065295798971158583389413514373642145644630732976681185929876459700759922999296 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))))))
(if (<=.f64 y.im #s(literal -3624524060580639/23384026197294446691258957323460528314494920687616 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 y.im))) (if (<=.f64 y.im #s(literal 6814113040271315/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 99999999999999991433150857216 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im))))))
(if (<=.f64 y.im #s(literal -3837614121784679/1237940039285380274899124224 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (neg.f64 x.im) y.im) (neg.f64 (/.f64 x.re y.im))) (if (<=.f64 y.im #s(literal 1472980775001683/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 179999999999999988098108751872 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im)))))
(if (<=.f64 y.im #s(literal -4835703278458517/9671406556917033397649408 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 6814113040271315/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 179999999999999988098108751872 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im)))))
(if (<=.f64 y.im #s(literal -1662273001970115/302231454903657293676544 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 7706902100043261/75557863725914323419136 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))))
(if (<=.f64 y.im #s(literal -8975065284819007/154742504910672534362390528 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 3929008913747545/75557863725914323419136 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) 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 -6769984589841923/4835703278458516698824704 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 7253554917687775/151115727451828646838272 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 -3172221350668787/38685626227668133590597632 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 519460313115661/9444732965739290427392 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 -5415987671873539/9671406556917033397649408 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 6422418416702717/18889465931478580854784 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -5446936172855673/4951760157141521099596496896 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 5585173065148971/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -800000000000000001532540068587734988972764101812153608922242811679503459363191004768988916086544258826240 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 155000000000000008254101420845459928599589015075238203335982957520467274299041887464543554692301958676480 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(/.f64 x.im y.re)
Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (neg.f64 x.re) (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (neg.f64 (hypot.f64 y.im y.re)))))
(if (<=.f64 y.im #s(literal -5499999999999999829258344401558426746072502942719584131209195509571253402761163429291052550855894959463684112384 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 y.im))) (if (<=.f64 y.im #s(literal -1162941958872971/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 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)))))) (if (<=.f64 y.im #s(literal 6798566308054619/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 68999999999999999787107928791707653380421461955921807633832065295798971158583389413514373642145644630732976681185929876459700759922999296 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))))))
(if (<=.f64 y.im #s(literal -5499999999999999829258344401558426746072502942719584131209195509571253402761163429291052550855894959463684112384 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 x.re (neg.f64 y.im))) (if (<=.f64 y.im #s(literal -1162941958872971/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (if (<=.f64 y.im #s(literal 6798566308054619/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) (/.f64 (+.f64 x.im (/.f64 (neg.f64 (*.f64 y.im x.re)) y.re)) y.re) (if (<=.f64 y.im #s(literal 68999999999999999787107928791707653380421461955921807633832065295798971158583389413514373642145644630732976681185929876459700759922999296 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 x.re (neg.f64 y.im)))))))
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(if (or (<=.f64 y.im #s(literal -800000000000000001532540068587734988972764101812153608922242811679503459363191004768988916086544258826240 binary64)) (not (<=.f64 y.im #s(literal 155000000000000008254101420845459928599589015075238203335982957520467274299041887464543554692301958676480 binary64)))) (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.im y.re)

soundness2.6s (17.3%)

Rules
1255×fma-define
920×log1p-expm1-u
920×expm1-log1p-u
841×fma-define
817×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0149444785
1407742437
036585
1616481
0701024
1237992
2469992
31150992
43391992
55801992
66625992
76734992
86754992
96770992
107716992
025273
1385238
24624238
072931312
1174629352
2696729328
0161944408
1430642990
036554
1589512
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1944 to 555 computations (71.5% saved)

preprocess304.0ms (2%)

Compiler

Compiled 1000 to 292 computations (70.8% saved)

end0.0ms (0%)

Profiling

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