_divideComplex, imaginary part

Time bar (total: 14.1s)

analyze323.0ms (2.3%)

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: 306.0ms
ival-mult: 301.0ms (98.5% of total)
ival-sub: 2.0ms (0.7% of total)
ival-add: 2.0ms (0.7% of total)
ival-div: 1.0ms (0.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.0s (14.4%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 673.0ms
ival-mult: 524.0ms (77.9% of total)
ival-div: 59.0ms (8.8% of total)
ival-sub: 42.0ms (6.2% of total)
ival-add: 39.0ms (5.8% of total)
const: 8.0ms (1.2% of total)
backward-pass: 2.0ms (0.3% of total)
Bogosity

preprocess285.0ms (2%)

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)))

explain110.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1081(1.599304048568337e-69 -7.116885224127727e-88 5.437572682961264e-152 -2.7100604629595388e+253)1(4.643964019182853e-129 1.4093103463032977e-264 -7.111605682360123e-216 1.9804886900315814e-161)(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
00-0-x.im
00-0-y.im
00-0-y.re
00-0-x.re
00-0-(*.f64 y.im y.im)
00-0-(*.f64 x.im y.re)
00-0-(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
00-0-(*.f64 x.re y.im)
00-0-(*.f64 y.re y.re)
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
Results
71.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 15.0ms (56.5% of total)
ival-add: 4.0ms (15.1% of total)
ival-sub: 3.0ms (11.3% of total)
ival-div: 3.0ms (11.3% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 32 to 16 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
59.6%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 37 to 21 computations (43.2% saved)

simplify98.0ms (0.7%)

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)))
accuracy59.9%
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
accuracy100.0%
(*.f64 x.im y.re)
accuracy100.0%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
accuracy59.9%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
52.0ms256×0valid
Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 12.0ms (42% of total)
ival-fma: 9.0ms (31.5% of total)
ival-div: 3.0ms (10.5% of total)
ival-sub: 1.0ms (3.5% of total)
ival-add: 1.0ms (3.5% of total)
ival-neg: 1.0ms (3.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series66.0ms (0.5%)

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)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (+.f64 (*.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 x.im y.re)>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (+.f64 (*.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 x.im y.re)>
#<alt (*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.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))>
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#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) x.re) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
Calls

81 calls:

TimeVariablePointExpression
30.0ms
x.re
@inf
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
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)

rewrite369.0ms (2.6%)

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)))))

simplify590.0ms (4.2%)

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))))

eval78.0ms (0.6%)

Compiler

Compiled 10000 to 1617 computations (83.8% saved)

prune98.0ms (0.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New46115476
Fresh000
Picked112
Done000
Total46216478
Accuracy
99.9%
Counts
478 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(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))
22.4%
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
52.1%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
48.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
59.6%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
43.5%
(/.f64 (-.f64 (*.f64 x.im y.re) (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.4%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
52.8%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
52.0%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
39.2%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
42.0%
(/.f64 (neg.f64 x.re) y.im)
43.5%
(/.f64 x.im y.re)
50.0%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
17.6%
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
46.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
54.0%
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
Compiler

Compiled 487 to 311 computations (36.1% saved)

simplify306.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y.re #s(literal 6 binary64))
cost-diff0
(*.f64 x.re y.im)
cost-diff0
(*.f64 x.im y.re)
cost-diff64
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
cost-diff0
(*.f64 y.re y.re)
cost-diff0
(fma.f64 y.im y.im (*.f64 y.re y.re))
cost-diff0
(*.f64 y.re x.im)
cost-diff0
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
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-diff-6336
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
cost-diff-6336
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
cost-diff0
(/.f64 y.im y.re)
cost-diff0
(*.f64 x.re (/.f64 y.im y.re))
Rules
1028×fma-neg
790×fma-define
272×times-frac
259×div-sub
228×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037603
166595
2113595
3217595
4401595
5684595
61211595
71994595
83299595
94708595
105183595
115306595
125332595
135357595
145381595
155585595
165673595
175673595
185673595
195673595
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
x.im
(*.f64 x.re (/.f64 y.im y.re))
x.re
(/.f64 y.im y.re)
y.im
y.re
(/.f64 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 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 y.re x.im)
y.re
x.im
(fma.f64 y.im y.im (*.f64 y.re y.re))
y.im
(*.f64 y.re y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
(-.f64 (*.f64 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 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 y.re #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1/3 binary64)
(*.f64 y.im y.im)
Outputs
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.re (neg.f64 y.re)) x.im) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im)
(fma.f64 y.im (/.f64 x.re (neg.f64 y.re)) x.im)
x.im
(*.f64 x.re (/.f64 y.im y.re))
x.re
(/.f64 y.im y.re)
y.im
y.re
(/.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 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.re (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 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im)
(fma.f64 y.im (/.f64 x.re (neg.f64 y.re)) x.im)
x.im
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
(*.f64 x.re (neg.f64 (/.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 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (*.f64 x.im y.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 y.re x.im)
(*.f64 x.im y.re)
y.re
x.im
(fma.f64 y.im y.im (*.f64 y.re y.re))
y.im
(*.f64 y.re y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (cbrt.f64 (pow.f64 y.re #s(literal 6 binary64))) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 (fma.f64 x.re (neg.f64 y.im) (*.f64 x.im y.re)) (fma.f64 y.im y.im (cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(fma.f64 x.re (neg.f64 y.im) (*.f64 x.im y.re))
(*.f64 x.im y.re)
x.im
y.re
(*.f64 x.re y.im)
x.re
y.im
(+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im))
(+.f64 (cbrt.f64 (pow.f64 y.re #s(literal 6 binary64))) (*.f64 y.im y.im))
(fma.f64 y.im y.im (cbrt.f64 (pow.f64 y.re #s(literal 6 binary64))))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(pow.f64 y.re #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 1/3 binary64)
(*.f64 y.im y.im)

localize225.0ms (1.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
accuracy100.0%
(+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im))
accuracy67.3%
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
accuracy59.9%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
accuracy100.0%
(fma.f64 y.im y.im (*.f64 y.re y.re))
accuracy100.0%
(*.f64 y.re y.re)
accuracy100.0%
(*.f64 y.re x.im)
accuracy69.4%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
accuracy100.0%
(*.f64 (neg.f64 x.re) y.im)
accuracy100.0%
(neg.f64 x.re)
accuracy98.5%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
accuracy93.6%
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
accuracy100.0%
(/.f64 x.im y.re)
accuracy100.0%
(/.f64 y.im y.re)
accuracy100.0%
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
accuracy98.5%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
accuracy95.6%
(*.f64 x.re (/.f64 y.im y.re))
Results
127.0ms256×0valid
Compiler

Compiled 153 to 29 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 36.0ms (45.4% of total)
ival-pow: 14.0ms (17.7% of total)
ival-mult: 13.0ms (16.4% of total)
ival-sub: 4.0ms (5% of total)
...c/correct-round.rkt:121:19: 4.0ms (5% of total)
ival-add: 3.0ms (3.8% of total)
ival-fma: 3.0ms (3.8% of total)
ival-neg: 1.0ms (1.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series58.0ms (0.4%)

Counts
16 → 420
Calls
Call 1
Inputs
#<alt (*.f64 x.re (/.f64 y.im y.re))>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)>
#<alt (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))>
#<alt (/.f64 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 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))>
#<alt (*.f64 y.re x.im)>
#<alt (fma.f64 y.im y.im (*.f64 y.re y.re))>
#<alt (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 y.re #s(literal 6 binary64))>
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))>
#<alt (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im))>
Outputs
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<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 #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 #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 x.im y.re)>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) 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 #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 #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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (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 #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 #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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 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 (*.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 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt x.im>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))>
#<alt x.im>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt x.im>
#<alt (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (*.f64 #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 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re 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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.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))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
Calls

120 calls:

TimeVariablePointExpression
4.0ms
y.re
@-inf
(/ (- x.im (* x.re (/ y.im y.re))) y.re)
3.0ms
y.im
@-inf
(/ (- x.im (* x.re (/ y.im y.re))) y.re)
2.0ms
y.re
@0
(pow (pow y.re 6) 1/3)
1.0ms
x.im
@0
(/ (- (* x.im y.re) (* x.re y.im)) (+ (pow (pow y.re 6) 1/3) (* y.im y.im)))
1.0ms
x.im
@0
(/ (- x.im (* x.re (/ y.im y.re))) y.re)

rewrite276.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
245×log1p-expm1-u
245×expm1-log1p-u
238×add-cube-cbrt
236×add-exp-log
235×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037389
1634345
Stop Event
node limit
Counts
16 → 523
Calls
Call 1
Inputs
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 y.im y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(/.f64 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 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 y.re x.im)
(fma.f64 y.im y.im (*.f64 y.re y.re))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 y.re #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
(+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x.re (/.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (/.f64 y.im y.re)))) #s(literal 1 binary64))
(/.f64 x.re (/.f64 y.re y.im))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) (neg.f64 y.re))
(/.f64 (*.f64 x.re y.im) (neg.f64 (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re (*.f64 x.re y.im)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 x.re y.im)))
(/.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)) y.re)
(/.f64 (*.f64 x.re #s(literal 1 binary64)) (/.f64 y.re y.im))
(pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 x.re y.im)) #s(literal -1 binary64))
(neg.f64 (*.f64 x.re (/.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (/.f64 y.im y.re)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.re (/.f64 y.im y.re))))
(exp.f64 (log.f64 (*.f64 x.re (/.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im y.re))) #s(literal 1 binary64))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 #s(literal 1 binary64) (/.f64 y.im y.re))
(*.f64 (cbrt.f64 (/.f64 y.im y.re)) (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (sqrt.f64 (/.f64 y.im y.re)) (sqrt.f64 (/.f64 y.im y.re)))
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 y.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 y.re)))
(pow.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re y.im) #s(literal -1 binary64))
(neg.f64 (/.f64 y.im (neg.f64 y.re)))
(neg.f64 (/.f64 (neg.f64 y.im) y.re))
(sqrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 y.im y.re)))
(exp.f64 (log.f64 (/.f64 y.im y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im y.re)) #s(literal 1 binary64)))
(+.f64 (/.f64 x.im y.re) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re)))
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)) (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) y.re))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (cbrt.f64 y.re)))
(pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (neg.f64 y.re)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) y.re))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 #s(literal 1 binary64) y.re) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re)))
(fma.f64 #s(literal 1 binary64) (/.f64 x.im y.re) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im y.re)) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re)))
(fma.f64 (sqrt.f64 (/.f64 x.im y.re)) (sqrt.f64 (/.f64 x.im y.re)) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(+.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (fma.f64 (neg.f64 (/.f64 y.im y.re)) x.re (*.f64 x.re (/.f64 y.im y.re))))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (fma.f64 x.re (/.f64 y.im y.re) (*.f64 x.re (/.f64 y.im y.re))))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re)))) (cbrt.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im y.re))))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) (*.f64 x.re (/.f64 y.im y.re))))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.re y.im)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y.re)) (*.f64 x.re y.im) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.re y.im))))
(+.f64 (*.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64)) (*.f64 x.im #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (*.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64))))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (neg.f64 (*.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64))))
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(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #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)))

simplify376.0ms (2.7%)

Algorithm
egg-herbie
Rules
527×fma-define
489×associate-/r*
419×associate-*r/
353×associate-*l/
284×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0118335767
1291533517
Stop Event
node limit
Counts
943 → 712
Calls
Call 1
Inputs
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.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 #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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(/.f64 x.im y.re)
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) 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 #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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 #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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (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))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #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 #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.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 (*.f64 x.re y.im) y.re)) 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 x.re y.im) y.re))
(-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))
(-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))
(-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))
x.im
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))
(*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))
(*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))
(*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))
(*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.re)
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))
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(*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))
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(*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))
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(*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))
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(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
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(+.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))
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(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(fma.f64 (*.f64 y.re x.im) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (hypot.f64 y.im y.re)) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))
(*.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (neg.f64 (+.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 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #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)))
Outputs
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(+.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 (*.f64 x.re (/.f64 y.im y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 x.im y.re)
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)))))
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 (neg.f64 x.im) (+.f64 (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (fma.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)) (/.f64 #s(literal -1 binary64) y.re)) (neg.f64 x.im))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 (neg.f64 x.im) (+.f64 (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (fma.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)) (/.f64 #s(literal -1 binary64) y.re)) (neg.f64 x.im))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 (neg.f64 x.im) (+.f64 (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (fma.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)) (/.f64 #s(literal -1 binary64) y.re)) (neg.f64 x.im))
(/.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 (*.f64 x.re (/.f64 y.im y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (neg.f64 (+.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 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (neg.f64 (+.f64 (neg.f64 (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(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 (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 (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)))

eval213.0ms (1.5%)

Compiler

Compiled 13646 to 2672 computations (80.4% saved)

prune195.0ms (1.4%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New7919800
Fresh7310
Picked145
Done011
Total79917816
Accuracy
100.0%
Counts
816 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
54.0%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
48.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
59.6%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.5%
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
54.4%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
54.5%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)))) y.re)
54.4%
(/.f64 (-.f64 x.im (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
33.1%
(/.f64 (-.f64 x.im (*.f64 x.re (exp.f64 (log.f64 (/.f64 y.im y.re))))) y.re)
52.8%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
39.2%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
23.2%
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
42.0%
(/.f64 (neg.f64 x.re) y.im)
43.5%
(/.f64 x.im y.re)
43.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
19.3%
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re x.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
58.8%
(*.f64 (/.f64 y.re (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
Compiler

Compiled 402 to 258 computations (35.8% saved)

simplify370.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff-6208
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
cost-diff0
(*.f64 x.im y.re)
cost-diff0
(/.f64 (*.f64 x.im y.re) y.im)
cost-diff64
(*.f64 #s(literal -1 binary64) x.re)
cost-diff-6336
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
cost-diff-6336
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
cost-diff0
(/.f64 y.re y.im)
cost-diff0
(*.f64 x.im (/.f64 y.re y.im))
cost-diff0
(neg.f64 y.im)
cost-diff0
(/.f64 (neg.f64 y.im) y.re)
cost-diff0
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
cost-diff0
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
cost-diff0
(neg.f64 x.re)
cost-diff0
(/.f64 (neg.f64 x.re) y.im)
cost-diff0
(/.f64 x.im (hypot.f64 y.im y.re))
cost-diff0
(hypot.f64 y.im y.re)
cost-diff0
(/.f64 y.re (hypot.f64 y.im y.re))
cost-diff6400
(*.f64 (/.f64 y.re (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
Rules
1323×fma-neg
677×fma-define
640×times-frac
443×div-sub
393×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032502
165502
2119502
3243498
4421498
5744498
61319498
73737498
85368498
96326498
106916498
116959498
127002498
137083498
147414498
157542498
167542498
177542498
187558498
197574498
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 y.re (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
(/.f64 y.re (hypot.f64 y.im y.re))
y.re
(hypot.f64 y.im y.re)
y.im
(/.f64 x.im (hypot.f64 y.im y.re))
x.im
(/.f64 (neg.f64 x.re) y.im)
(neg.f64 x.re)
x.re
y.im
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
x.re
(/.f64 (neg.f64 y.im) y.re)
(neg.f64 y.im)
y.im
y.re
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(*.f64 x.im (/.f64 y.re y.im))
x.im
(/.f64 y.re y.im)
y.re
y.im
x.re
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
(*.f64 #s(literal -1 binary64) x.re)
#s(literal -1 binary64)
x.re
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 x.im y.re)
x.im
y.re
y.im
Outputs
(*.f64 (/.f64 y.re (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
(*.f64 y.re (/.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(*.f64 y.re (/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 y.re (/.f64 x.im (fma.f64 y.im y.im (*.f64 y.re y.re))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (*.f64 y.im y.im))))
(*.f64 y.re (/.f64 x.im (fma.f64 y.re y.re (*.f64 y.im y.im))))
(/.f64 y.re (hypot.f64 y.im y.re))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.im y.re)
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.im y.re))
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.re (neg.f64 y.im))
(neg.f64 x.re)
x.re
y.im
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(*.f64 x.re (/.f64 (/.f64 (neg.f64 y.im) y.re) y.re))
(*.f64 x.re (/.f64 (/.f64 y.im (neg.f64 y.re)) y.re))
(*.f64 y.im (/.f64 (neg.f64 x.re) (*.f64 y.re y.re)))
(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
(*.f64 x.re (/.f64 y.im (neg.f64 y.re)))
(*.f64 y.im (/.f64 (neg.f64 x.re) y.re))
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
x.re
(/.f64 (neg.f64 y.im) y.re)
(/.f64 y.im (neg.f64 y.re))
(neg.f64 y.im)
y.im
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 (fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re)) y.im)
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 y.re (/.f64 x.im y.im))
x.im
(/.f64 y.re y.im)
y.re
y.im
x.re
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) 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 y.re (/.f64 x.im y.im) (neg.f64 x.re)) y.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(fma.f64 y.re (/.f64 x.im y.im) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
#s(literal -1 binary64)
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

localize249.0ms (1.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal -1 binary64) x.re)
accuracy100.0%
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
accuracy99.2%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
accuracy93.7%
(/.f64 (*.f64 x.im y.re) y.im)
accuracy100.0%
(/.f64 y.re y.im)
accuracy100.0%
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
accuracy99.2%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
accuracy94.3%
(*.f64 x.im (/.f64 y.re y.im))
accuracy100.0%
(/.f64 (neg.f64 y.im) y.re)
accuracy100.0%
(neg.f64 y.im)
accuracy97.3%
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
accuracy95.6%
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
accuracy100.0%
(/.f64 (neg.f64 x.re) y.im)
accuracy100.0%
(neg.f64 x.re)
accuracy100.0%
(hypot.f64 y.im y.re)
accuracy100.0%
(/.f64 x.im (hypot.f64 y.im y.re))
accuracy100.0%
(/.f64 y.re (hypot.f64 y.im y.re))
accuracy97.6%
(*.f64 (/.f64 y.re (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
Results
215.0ms256×0valid
Compiler

Compiled 127 to 25 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-hypot: 144.0ms (81.2% of total)
ival-div: 16.0ms (9% of total)
ival-mult: 10.0ms (5.6% of total)
ival-neg: 4.0ms (2.3% of total)
ival-sub: 1.0ms (0.6% of total)
ival-add: 1.0ms (0.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series72.0ms (0.5%)

Counts
16 → 450
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 y.re (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))>
#<alt (/.f64 y.re (hypot.f64 y.im y.re))>
#<alt (hypot.f64 y.im y.re)>
#<alt (/.f64 x.im (hypot.f64 y.im y.re))>
#<alt (/.f64 (neg.f64 x.re) y.im)>
#<alt (/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)>
#<alt (*.f64 x.re (/.f64 (neg.f64 y.im) y.re))>
#<alt (/.f64 (neg.f64 y.im) y.re)>
#<alt (*.f64 x.im (/.f64 y.re y.im))>
#<alt (/.f64 y.re y.im)>
#<alt (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)>
#<alt (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))>
Outputs
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
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#<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 (pow.f64 y.im #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 (pow.f64 y.im #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 (pow.f64 y.im #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 (pow.f64 y.im #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 (pow.f64 y.im #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 (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<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 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.im))) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.im))) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.im))) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 x.im y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 x.im y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 x.im y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.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 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 y.im y.re)))))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.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 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 x.im y.re) y.im))) y.im))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) #s(literal 1 binary64)))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) #s(literal 1 binary64)))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
Calls

135 calls:

TimeVariablePointExpression
8.0ms
x.re
@0
(/ (* x.re (/ (neg y.im) y.re)) y.re)
3.0ms
y.re
@0
(* (/ y.re (sqrt (+ (* y.im y.im) (* y.re y.re)))) (/ x.im (sqrt (+ (* y.im y.im) (* y.re y.re)))))
3.0ms
y.re
@-inf
(/ y.re y.im)
2.0ms
y.re
@inf
(/ (+ (* -1 x.re) (/ (* x.im y.re) y.im)) y.im)
1.0ms
y.re
@inf
(/ y.re (sqrt (+ (* y.im y.im) (* y.re y.re))))

rewrite300.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
221×times-frac
216×log1p-expm1-u
216×expm1-log1p-u
215×add-cube-cbrt
214×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032408
1564357
Stop Event
node limit
Counts
16 → 635
Calls
Call 1
Inputs
(*.f64 (/.f64 y.re (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
(/.f64 y.re (hypot.f64 y.im y.re))
(hypot.f64 y.im y.re)
(/.f64 x.im (hypot.f64 y.im y.re))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
(/.f64 (neg.f64 y.im) y.re)
(*.f64 x.im (/.f64 y.re y.im))
(/.f64 y.re y.im)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(/.f64 (*.f64 x.im y.re) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 y.re (*.f64 (hypot.f64 y.im y.re) (/.f64 (hypot.f64 y.im y.re) x.im)))
(/.f64 y.re (*.f64 (/.f64 (hypot.f64 y.im y.re) x.im) (hypot.f64 y.im y.re)))
(/.f64 (/.f64 y.re (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) x.im))
(/.f64 x.im (*.f64 (hypot.f64 y.im y.re) (/.f64 (hypot.f64 y.im y.re) y.re)))
(/.f64 x.im (*.f64 (/.f64 (hypot.f64 y.im y.re) y.re) (hypot.f64 y.im y.re)))
(/.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) y.re))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.im y.re) y.re) (/.f64 (hypot.f64 y.im y.re) x.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.im y.re) x.im) (/.f64 (hypot.f64 y.im y.re) y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 y.re x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.im))))
(/.f64 (*.f64 y.re (neg.f64 x.im)) (*.f64 (hypot.f64 y.im y.re) (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (*.f64 y.re (neg.f64 x.im)) (*.f64 (neg.f64 (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(/.f64 (*.f64 y.re (neg.f64 x.im)) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 x.im) (*.f64 (/.f64 (hypot.f64 y.im y.re) y.re) (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (neg.f64 y.re) (*.f64 (/.f64 (hypot.f64 y.im y.re) x.im) (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.im)) (hypot.f64 y.im y.re))
(/.f64 (*.f64 (neg.f64 x.im) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) y.re)))
(/.f64 (*.f64 (neg.f64 y.re) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) x.im)))
(/.f64 (*.f64 (neg.f64 y.re) (neg.f64 x.im)) (*.f64 (neg.f64 (hypot.f64 y.im y.re)) (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (*.f64 (neg.f64 x.im) (neg.f64 y.re)) (*.f64 (neg.f64 (hypot.f64 y.im y.re)) (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (neg.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.im))) (neg.f64 (hypot.f64 y.im y.re)))
(/.f64 (*.f64 (/.f64 y.re (hypot.f64 y.im y.re)) (neg.f64 x.im)) (neg.f64 (hypot.f64 y.im y.re)))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (neg.f64 y.re)) (neg.f64 (hypot.f64 y.im y.re)))
(/.f64 (*.f64 (neg.f64 y.re) (/.f64 x.im (hypot.f64 y.im y.re))) (neg.f64 (hypot.f64 y.im y.re)))
(/.f64 (*.f64 (neg.f64 x.im) (/.f64 y.re (hypot.f64 y.im y.re))) (neg.f64 (hypot.f64 y.im y.re)))
(/.f64 (/.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.im)) #s(literal 1 binary64)) (hypot.f64 y.im y.re))
(/.f64 (/.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 y.im y.re)))
(/.f64 (/.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))
(pow.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 (/.f64 y.re (hypot.f64 y.im y.re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.re (hypot.f64 y.im y.re)))) #s(literal 1 binary64))
(*.f64 y.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 y.re (hypot.f64 y.im y.re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y.re (hypot.f64 y.im y.re)))
(*.f64 (cbrt.f64 (/.f64 y.re (hypot.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re (hypot.f64 y.im y.re))))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.re) (hypot.f64 y.im y.re)))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (cbrt.f64 y.re) (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 (/.f64 y.re (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 y.re (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 y.re) (/.f64 (sqrt.f64 y.re) (hypot.f64 y.im y.re)))
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) y.im))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (/.f64 #s(literal -1 binary64) y.im)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)) (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) y.im))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (/.f64 #s(literal -1 binary64) y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.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)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) y.im))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (cbrt.f64 y.im)))
(pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)) #s(literal 1 binary64)))
(-.f64 x.re (*.f64 y.re (/.f64 x.im y.im)))
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(-.f64 (/.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.re y.im) x.re)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.re y.im) x.re)) (/.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(-.f64 (+.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 0 binary64)) x.re)
(*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(*.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (neg.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) (sqrt.f64 x.re)) (-.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) (sqrt.f64 x.re)))
(*.f64 (+.f64 (sqrt.f64 x.re) (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im)))) (-.f64 (sqrt.f64 x.re) (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)))))
(/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64))
(neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(log.f64 (/.f64 (exp.f64 x.re) (pow.f64 (exp.f64 (/.f64 y.re y.im)) x.im)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 x.re #s(literal -1 binary64) (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 (/.f64 y.re y.im) x.im x.re)
(fma.f64 #s(literal -1 binary64) x.re (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 (*.f64 y.re x.im) (/.f64 #s(literal -1 binary64) y.im) x.re)
(fma.f64 #s(literal 1 binary64) x.re (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 #s(literal 1 binary64) (*.f64 y.re (/.f64 x.im y.im)) x.re)
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.re (/.f64 x.im y.im))) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) x.re)

simplify488.0ms (3.5%)

Algorithm
egg-herbie
Rules
577×times-frac
570×fma-define
367×*-commutative
312×distribute-lft-in
311×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0143242342
1356240729
Stop Event
node limit
Counts
1085 → 961
Calls
Call 1
Inputs
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.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 -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 4 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.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 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.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) y.re))
(/.f64 x.im y.re)
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y.re
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)))))
(/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64))
(neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(log.f64 (/.f64 (exp.f64 x.re) (pow.f64 (exp.f64 (/.f64 y.re y.im)) x.im)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 x.re #s(literal -1 binary64) (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 (/.f64 y.re y.im) x.im x.re)
(fma.f64 #s(literal -1 binary64) x.re (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 (*.f64 y.re x.im) (/.f64 #s(literal -1 binary64) y.im) x.re)
(fma.f64 #s(literal 1 binary64) x.re (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 #s(literal 1 binary64) (*.f64 y.re (/.f64 x.im y.im)) x.re)
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.re (/.f64 x.im y.im))) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) x.re)
Outputs
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))))))
(*.f64 y.re (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.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 -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 8 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 8 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 6 binary64)))) (/.f64 x.im (neg.f64 (pow.f64 y.im #s(literal 4 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.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 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 x.im (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 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 x.im (*.f64 x.im (-.f64 (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
(/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 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 x.im (-.f64 (neg.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 (-.f64 (-.f64 x.im (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (-.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 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.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 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 (neg.f64 (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) x.im)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 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.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (+.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))) y.re))
(/.f64 (+.f64 (neg.f64 (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) x.im)) (*.f64 x.im (+.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)) (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))) (neg.f64 y.re))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))
(-.f64 (/.f64 x.im y.re) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 (neg.f64 x.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))) (/.f64 (neg.f64 x.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.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 2 binary64)))) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.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 2 binary64)))) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x.im y.re (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.im (-.f64 (/.f64 (pow.f64 y.re #s(literal 5 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) (pow.f64 y.im #s(literal 2 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 y.re (*.f64 (/.f64 x.im y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 y.re (*.f64 (/.f64 x.im y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 y.re (*.f64 (/.f64 x.im y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 y.re (*.f64 (/.f64 x.im y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 y.re (/.f64 x.im (neg.f64 y.im)) x.re))))
(/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 y.re (*.f64 (/.f64 x.im y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 y.re (*.f64 (/.f64 x.im y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 y.re (*.f64 (/.f64 x.im y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 y.re (*.f64 (/.f64 x.im y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)) (neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 y.re (/.f64 x.im y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 y.re (*.f64 (/.f64 x.im y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 1 binary64))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 3 binary64))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(log.f64 (/.f64 (exp.f64 x.re) (pow.f64 (exp.f64 (/.f64 y.re y.im)) x.im)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 x.re #s(literal -1 binary64) (*.f64 y.re (/.f64 x.im y.im)))
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(fma.f64 (/.f64 y.re y.im) x.im x.re)
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 #s(literal -1 binary64) x.re (*.f64 y.re (/.f64 x.im y.im)))
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(fma.f64 (*.f64 y.re x.im) (/.f64 #s(literal -1 binary64) y.im) x.re)
(-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))
(fma.f64 y.re (/.f64 x.im (neg.f64 y.im)) x.re)
(fma.f64 #s(literal 1 binary64) x.re (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 #s(literal 1 binary64) (*.f64 y.re (/.f64 x.im y.im)) x.re)
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 x.im (/.f64 y.re y.im)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.re (/.f64 x.im y.im))) x.re)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) x.re)
(fma.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64))) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 y.re (/.f64 x.im y.im)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) x.re)
(fma.f64 x.im (/.f64 y.re y.im) x.re)

eval379.0ms (2.7%)

Compiler

Compiled 19666 to 3575 computations (81.8% saved)

prune402.0ms (2.9%)

Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New1116111127
Fresh257
Picked235
Done055
Total1120241144
Accuracy
100.0%
Counts
1144 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.5%
(/.f64 (/.f64 (*.f64 y.im x.re) (neg.f64 y.re)) y.re)
34.1%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) #s(literal 2 binary64)) x.re) y.im)
54.0%
(/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)
52.1%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
54.0%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
48.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
59.6%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.5%
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
54.4%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
54.5%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)))) y.re)
33.1%
(/.f64 (-.f64 x.im (*.f64 x.re (exp.f64 (log.f64 (/.f64 y.im y.re))))) y.re)
11.1%
(/.f64 (*.f64 (/.f64 x.re y.re) y.im) y.re)
43.6%
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.im)
39.2%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
23.2%
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
23.2%
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))) y.re)
42.0%
(/.f64 (neg.f64 x.re) y.im)
8.8%
(/.f64 x.re y.im)
43.5%
(/.f64 x.im y.re)
43.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
17.8%
(*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 x.im (hypot.f64 y.im y.re)))
16.0%
(*.f64 (/.f64 y.re (hypot.f64 y.im y.re)) (/.f64 x.im y.im))
8.8%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.re)
41.9%
(*.f64 (/.f64 #s(literal -1 binary64) y.im) x.re)
Compiler

Compiled 503 to 332 computations (34% saved)

simplify502.0ms (3.6%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x.im (hypot.f64 y.im y.re))
cost-diff0
(neg.f64 y.re)
cost-diff0
(/.f64 (neg.f64 y.re) y.im)
cost-diff0
(*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 x.im (hypot.f64 y.im y.re)))
cost-diff64
(/.f64 #s(literal 1 binary64) (neg.f64 y.re))
cost-diff128
(*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
cost-diff128
(*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re))))
cost-diff128
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))) y.re)
cost-diff0
(/.f64 x.re y.re)
cost-diff0
(*.f64 (/.f64 x.re y.re) y.im)
cost-diff0
(/.f64 (*.f64 (/.f64 x.re y.re) y.im) y.re)
cost-diff0
(/.f64 x.re y.im)
cost-diff-6336
(-.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))
cost-diff-6336
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
cost-diff0
(/.f64 y.re y.im)
cost-diff0
(/.f64 x.re (/.f64 y.re y.im))
Rules
2413×fma-define
828×fma-neg
321×div-sub
281×times-frac
214×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030468
167446
2165446
3504446
41143446
51956446
63072446
73881446
85018446
95795446
106001446
116060446
126087446
136122446
146122446
156234446
167450446
177450446
187450446
197454446
207466446
217488446
227508446
237508446
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
(-.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))
x.im
(/.f64 x.re (/.f64 y.re y.im))
x.re
(/.f64 y.re y.im)
y.re
y.im
(/.f64 x.re y.im)
x.re
y.im
(/.f64 (*.f64 (/.f64 x.re y.re) y.im) y.re)
(*.f64 (/.f64 x.re y.re) y.im)
(/.f64 x.re y.re)
x.re
y.re
y.im
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))) y.re)
(*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re))))
x.re
(*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
y.im
(/.f64 #s(literal 1 binary64) (neg.f64 y.re))
#s(literal 1 binary64)
(neg.f64 y.re)
y.re
(*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 x.im (hypot.f64 y.im y.re)))
(/.f64 (neg.f64 y.re) y.im)
(neg.f64 y.re)
y.re
y.im
(/.f64 x.im (hypot.f64 y.im y.re))
x.im
(hypot.f64 y.im y.re)
Outputs
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
(/.f64 (-.f64 x.im (/.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 y.im (neg.f64 y.re)) x.im) y.re)
(/.f64 (fma.f64 (/.f64 x.re y.re) (neg.f64 y.im) x.im) y.re)
(-.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))
(-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im)
(fma.f64 (/.f64 x.re y.re) (neg.f64 y.im) x.im)
x.im
(/.f64 x.re (/.f64 y.re y.im))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
x.re
(/.f64 y.re y.im)
y.re
y.im
(/.f64 x.re y.im)
x.re
y.im
(/.f64 (*.f64 (/.f64 x.re y.re) y.im) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) y.re) y.re)
(*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re))
(*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re))
(*.f64 (/.f64 x.re y.re) y.im)
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 x.re y.re)
x.re
y.re
y.im
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))) y.re)
(*.f64 x.re (/.f64 (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re))) y.re))
(*.f64 x.re (/.f64 y.im (*.f64 y.re (neg.f64 y.re))))
(*.f64 (neg.f64 y.im) (/.f64 (/.f64 x.re y.re) y.re))
(*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re))))
(*.f64 x.re (/.f64 y.im (neg.f64 y.re)))
(*.f64 y.im (/.f64 (neg.f64 x.re) y.re))
x.re
(*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 y.im (neg.f64 y.re))
y.im
(/.f64 #s(literal 1 binary64) (neg.f64 y.re))
(/.f64 #s(literal -1 binary64) y.re)
#s(literal 1 binary64)
(neg.f64 y.re)
y.re
(*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 x.im (hypot.f64 y.im y.re)))
(/.f64 (*.f64 (neg.f64 y.re) (/.f64 x.im (hypot.f64 y.im y.re))) y.im)
(*.f64 (neg.f64 y.re) (/.f64 (/.f64 x.im (hypot.f64 y.im y.re)) y.im))
(*.f64 (neg.f64 y.re) (/.f64 x.im (*.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 y.re (/.f64 (/.f64 (neg.f64 x.im) (hypot.f64 y.re y.im)) y.im))
(*.f64 x.im (/.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (neg.f64 y.im)))
(/.f64 (neg.f64 y.re) y.im)
(/.f64 y.re (neg.f64 y.im))
(neg.f64 y.re)
y.re
y.im
(/.f64 x.im (hypot.f64 y.im y.re))
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(hypot.f64 y.im y.re)
(hypot.f64 y.re y.im)

localize272.0ms (1.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (neg.f64 y.re) y.im)
accuracy100.0%
(neg.f64 y.re)
accuracy100.0%
(/.f64 x.im (hypot.f64 y.im y.re))
accuracy84.1%
(*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 x.im (hypot.f64 y.im y.re)))
accuracy100.0%
(neg.f64 y.re)
accuracy99.7%
(*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
accuracy97.3%
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))) y.re)
accuracy95.6%
(*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re))))
accuracy100.0%
(/.f64 x.re y.re)
accuracy97.3%
(/.f64 (*.f64 (/.f64 x.re y.re) y.im) y.re)
accuracy91.5%
(*.f64 (/.f64 x.re y.re) y.im)
accuracy100.0%
(/.f64 x.re y.im)
accuracy100.0%
(/.f64 y.re y.im)
accuracy100.0%
(-.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))
accuracy98.5%
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
accuracy95.7%
(/.f64 x.re (/.f64 y.re y.im))
Results
245.0ms256×0valid
Compiler

Compiled 117 to 23 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-neg: 122.0ms (57% of total)
ival-mult: 68.0ms (31.8% of total)
ival-div: 18.0ms (8.4% of total)
ival-hypot: 4.0ms (1.9% of total)
ival-sub: 1.0ms (0.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.2%)

Counts
14 → 384
Calls
Call 1
Inputs
#<alt (/.f64 x.re (/.f64 y.re y.im))>
#<alt (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)>
#<alt (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 (*.f64 (/.f64 x.re y.re) y.im) y.re)>
#<alt (*.f64 (/.f64 x.re y.re) y.im)>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))) y.re)>
#<alt (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re))))>
#<alt (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 y.re))>
#<alt (*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 x.im (hypot.f64 y.im y.re)))>
#<alt (/.f64 (neg.f64 y.re) y.im)>
#<alt (neg.f64 y.re)>
Outputs
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<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 #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 #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 x.im y.re)>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) 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 #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 #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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 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 (*.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 (*.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 #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 #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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt x.im>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))>
#<alt x.im>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt x.im>
#<alt (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (*.f64 #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 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re 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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.re)>
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.re)>
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.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)))>
#<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)))>
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#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (*.f64 y.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.im y.im)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (*.f64 y.im (pow.f64 y.re #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 y.im (pow.f64 y.re #s(literal 6 binary64))))) (/.f64 x.im y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))))) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))))))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.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 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
Calls

108 calls:

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

rewrite183.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
227×times-frac
219×log1p-expm1-u
219×expm1-log1p-u
217×add-exp-log
217×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030325
1516299
Stop Event
node limit
Counts
14 → 620
Calls
Call 1
Inputs
(/.f64 x.re (/.f64 y.re y.im))
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
(-.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))
(/.f64 x.re y.im)
(/.f64 (*.f64 (/.f64 x.re y.re) y.im) y.re)
(*.f64 (/.f64 x.re y.re) y.im)
(/.f64 x.re y.re)
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))) y.re)
(*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re))))
(*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (neg.f64 y.re))
(*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 x.im (hypot.f64 y.im y.re)))
(/.f64 (neg.f64 y.re) y.im)
(neg.f64 y.re)
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x.re (/.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (/.f64 y.im y.re)))) #s(literal 1 binary64))
(*.f64 x.re (/.f64 y.im y.re))
(*.f64 y.im (/.f64 x.re y.re))
(*.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64))
(*.f64 (/.f64 x.re y.re) y.im)
(*.f64 (/.f64 x.re y.re) (neg.f64 y.im))
(*.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 y.im y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (/.f64 y.im y.re) x.re)
(*.f64 (/.f64 y.im y.re) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im y.re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x.re y.re)) y.im))
(*.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) (pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)))
(*.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))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 y.im y.re)) x.re))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x.re) (/.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (/.f64 y.im y.re)))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (cbrt.f64 y.im) (/.f64 x.re y.re)))
(*.f64 (sqrt.f64 (/.f64 x.re y.re)) (*.f64 (sqrt.f64 (/.f64 x.re y.re)) y.im))
(*.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))))
(*.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))) (neg.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))))
(*.f64 (sqrt.f64 (/.f64 y.im y.re)) (*.f64 (sqrt.f64 (/.f64 y.im y.re)) x.re))
(*.f64 (sqrt.f64 x.re) (/.f64 (sqrt.f64 x.re) (/.f64 y.re y.im)))
(*.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) (/.f64 y.im y.re)))
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (/.f64 x.re y.re)))
(*.f64 (neg.f64 x.re) (/.f64 y.im y.re))
(*.f64 (neg.f64 y.im) (/.f64 x.re y.re))
(*.f64 (*.f64 x.re y.im) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re))))
(*.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (neg.f64 (*.f64 x.re y.im)) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (/.f64 x.re #s(literal 1 binary64)) (/.f64 y.im y.re))
(*.f64 (/.f64 x.re (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 y.im (cbrt.f64 y.re)))
(*.f64 (/.f64 x.re (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) (/.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) (/.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 x.re) y.re) (/.f64 (sqrt.f64 x.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (/.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y.re y.im))) (/.f64 x.re (sqrt.f64 (/.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) y.re) (/.f64 (cbrt.f64 x.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y.re y.im))) (/.f64 (cbrt.f64 x.re) (sqrt.f64 (/.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 (/.f64 y.re y.im))))
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(*.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
(*.f64 (/.f64 y.re y.im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))
(*.f64 (cbrt.f64 (/.f64 y.re y.im)) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 y.re y.im))))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (cbrt.f64 y.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.re) (neg.f64 y.im)))
(*.f64 (sqrt.f64 (/.f64 y.re y.im)) (sqrt.f64 (/.f64 y.re y.im)))
(*.f64 (sqrt.f64 (/.f64 y.re y.im)) (neg.f64 (sqrt.f64 (/.f64 y.re y.im))))
(*.f64 (sqrt.f64 y.re) (/.f64 (sqrt.f64 y.re) y.im))
(*.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (sqrt.f64 y.re) (/.f64 (sqrt.f64 y.re) (neg.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) y.im))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 y.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 y.im)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y.re y.im))) (sqrt.f64 (/.f64 y.re y.im)))
(pow.f64 (/.f64 y.im y.re) #s(literal -1 binary64))
(pow.f64 (/.f64 y.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))
(neg.f64 (/.f64 y.re y.im))
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 y.re y.im)))
(exp.f64 (log.f64 (/.f64 y.re y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re y.im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y.re)
(-.f64 #s(literal 0 binary64) y.re)
(-.f64 (exp.f64 (log1p.f64 y.re)) #s(literal 1 binary64))
(*.f64 y.re #s(literal 1 binary64))
(*.f64 y.re #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y.re)
(*.f64 #s(literal -1 binary64) y.re)
(*.f64 (cbrt.f64 y.re) (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (cbrt.f64 y.re))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (neg.f64 (cbrt.f64 y.re)))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.re) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y.re) (sqrt.f64 y.re))
(*.f64 (sqrt.f64 y.re) (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y.re) (neg.f64 (sqrt.f64 y.re)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64)))) (cbrt.f64 y.re))
(*.f64 (neg.f64 (sqrt.f64 y.re)) (sqrt.f64 y.re))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64)))) (cbrt.f64 y.re))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(/.f64 y.re #s(literal 1 binary64))
(/.f64 y.re #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y.re #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y.re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y.re #s(literal 2 binary64))) y.re)
(pow.f64 y.re #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y.re) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y.re) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y.re #s(literal 2 binary64)))
(log.f64 (exp.f64 y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y.re)))
(cbrt.f64 (pow.f64 y.re #s(literal 3 binary64)))
y.re
(expm1.f64 (log1p.f64 y.re))
(log1p.f64 (expm1.f64 y.re))
(exp.f64 (log.f64 y.re))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 1 binary64)))

simplify788.0ms (5.6%)

Algorithm
egg-herbie
Rules
589×associate-*r/
546×fma-define
471×associate-*l/
434×associate-/r*
277×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114330116
1267429369
Stop Event
node limit
Counts
1004 → 719
Calls
Call 1
Inputs
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.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 #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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(/.f64 x.im y.re)
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) 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 #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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (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))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #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 #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.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 (*.f64 x.re y.im) y.re)) 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 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 #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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 y.im y.re))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))
(-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))
(-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))
x.im
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64))))
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))
(*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))
(*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.re)
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))
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(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (cbrt.f64 y.re))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (neg.f64 (cbrt.f64 y.re)))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.re) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y.re) (sqrt.f64 y.re))
(*.f64 (sqrt.f64 y.re) (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y.re) (neg.f64 (sqrt.f64 y.re)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64)))) (cbrt.f64 y.re))
(*.f64 (neg.f64 (sqrt.f64 y.re)) (sqrt.f64 y.re))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64)))) (cbrt.f64 y.re))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(/.f64 y.re #s(literal 1 binary64))
(/.f64 y.re #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y.re #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y.re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y.re #s(literal 2 binary64))) y.re)
(pow.f64 y.re #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y.re) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y.re) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y.re #s(literal 2 binary64)))
(log.f64 (exp.f64 y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y.re)))
(cbrt.f64 (pow.f64 y.re #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y.re))
(log1p.f64 (expm1.f64 y.re))
(exp.f64 (log.f64 y.re))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 y.re #s(literal 2 binary64)))
(+.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 (*.f64 x.re (/.f64 y.im y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 x.im y.re)
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.re (/.f64 (/.f64 y.im x.im) (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 (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.re (/.f64 (/.f64 y.im x.im) (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 (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.re (/.f64 (/.f64 y.im x.im) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 (neg.f64 x.im) (+.f64 (*.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im))) (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (fma.f64 x.re (/.f64 (/.f64 y.im x.im) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y.re)) (neg.f64 x.im))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 (neg.f64 x.im) (+.f64 (*.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im))) (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (fma.f64 x.re (/.f64 (/.f64 y.im x.im) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y.re)) (neg.f64 x.im))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 (neg.f64 x.im) (+.f64 (*.f64 x.re (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im))) (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (fma.f64 x.re (/.f64 (/.f64 y.im x.im) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y.re)) (neg.f64 x.im))
(/.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 (*.f64 x.re (/.f64 y.im y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 x.re (-.f64 (/.f64 x.im (*.f64 x.re y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 x.re (-.f64 (/.f64 x.im (*.f64 x.re y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.im (*.f64 x.re y.re))))
(*.f64 x.re (-.f64 (/.f64 x.im (*.f64 x.re y.re)) (/.f64 y.im (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))))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (neg.f64 (-.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.im (*.f64 x.re y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (neg.f64 (-.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.im (*.f64 x.re y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re))) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (neg.f64 (-.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.im (*.f64 x.re y.re)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (fma.f64 x.re (neg.f64 y.im) (*.f64 y.re x.im)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (fma.f64 x.re (neg.f64 y.im) (*.f64 y.re x.im)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (fma.f64 x.re (neg.f64 y.im) (*.f64 y.re x.im)) (pow.f64 y.re #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)
(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 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) 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 (*.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 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
(/.f64 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 (*.f64 x.re (/.f64 y.im y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) 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 (*.f64 x.re (/.f64 y.im y.re))) y.re)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 y.re y.im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 y.re y.im)))
(-.f64 (/.f64 #s(literal 0 binary64) y.im) (/.f64 y.re y.im))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y.im)) (/.f64 y.re y.im))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(*.f64 y.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 y.re y.im)
(*.f64 y.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(*.f64 y.re (neg.f64 (/.f64 #s(literal 1 binary64) y.im)))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(*.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
(/.f64 y.re y.im)
(*.f64 (/.f64 y.re y.im) #s(literal 1 binary64))
(/.f64 y.re y.im)
(*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(*.f64 (cbrt.f64 (/.f64 y.re y.im)) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)))
(/.f64 y.re y.im)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (/.f64 y.re y.im))))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (cbrt.f64 y.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.re) (neg.f64 y.im)))
(*.f64 (sqrt.f64 (/.f64 y.re y.im)) (sqrt.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(*.f64 (sqrt.f64 (/.f64 y.re y.im)) (neg.f64 (sqrt.f64 (/.f64 y.re y.im))))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(*.f64 (sqrt.f64 y.re) (/.f64 (sqrt.f64 y.re) y.im))
(/.f64 y.re y.im)
(*.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) (/.f64 #s(literal 1 binary64) y.im)))
(/.f64 y.re y.im)
(*.f64 (sqrt.f64 y.re) (/.f64 (sqrt.f64 y.re) (neg.f64 y.im)))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)
(/.f64 y.re y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.re (cbrt.f64 y.im)))
(/.f64 (/.f64 y.re (cbrt.f64 y.im)) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(/.f64 (/.f64 y.re (sqrt.f64 y.im)) (sqrt.f64 y.im))
(*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.re (cbrt.f64 y.im)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) y.re) (cbrt.f64 y.im))
(/.f64 (/.f64 (neg.f64 y.re) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (cbrt.f64 y.im))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(*.f64 (/.f64 y.re (sqrt.f64 y.im)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y.im)))
(/.f64 (/.f64 (neg.f64 y.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) y.im))
(/.f64 y.re y.im)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (cbrt.f64 (/.f64 y.re y.im)) (/.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 y.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.re (cbrt.f64 y.im)))
(/.f64 (/.f64 y.re (cbrt.f64 y.im)) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re y.im)))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y.re y.im))) (sqrt.f64 (/.f64 y.re y.im)))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(pow.f64 (/.f64 y.im y.re) #s(literal -1 binary64))
(/.f64 y.re y.im)
(pow.f64 (/.f64 y.re y.im) #s(literal 1 binary64))
(/.f64 y.re y.im)
(pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 3 binary64))
(/.f64 y.re y.im)
(pow.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y.re y.im)
(pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))
(/.f64 y.re y.im)
(neg.f64 (/.f64 y.re y.im))
(/.f64 y.re (neg.f64 y.im))
(/.f64 (neg.f64 y.re) y.im)
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y.re y.im))
(log.f64 (exp.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re y.im))))
(/.f64 y.re y.im)
(cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))
(/.f64 y.re y.im)
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(/.f64 y.re y.im)
(expm1.f64 (log1p.f64 (/.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(exp.f64 (log.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(exp.f64 (*.f64 (log.f64 (/.f64 y.re y.im)) #s(literal 1 binary64)))
(/.f64 y.re y.im)
(+.f64 #s(literal 0 binary64) y.re)
y.re
(-.f64 #s(literal 0 binary64) y.re)
(neg.f64 y.re)
(-.f64 (exp.f64 (log1p.f64 y.re)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 y.re))
(*.f64 y.re #s(literal 1 binary64))
y.re
(*.f64 y.re #s(literal -1 binary64))
(neg.f64 y.re)
(*.f64 #s(literal 1 binary64) y.re)
y.re
(*.f64 #s(literal -1 binary64) y.re)
(neg.f64 y.re)
(*.f64 (cbrt.f64 y.re) (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (cbrt.f64 y.re))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (cbrt.f64 y.re))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (neg.f64 (cbrt.f64 y.re)))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.re) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (cbrt.f64 y.re))
(*.f64 (sqrt.f64 y.re) (sqrt.f64 y.re))
y.re
(*.f64 (sqrt.f64 y.re) (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)))
y.re
(*.f64 (sqrt.f64 y.re) (neg.f64 (sqrt.f64 y.re)))
(neg.f64 y.re)
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64)))) (cbrt.f64 y.re))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (neg.f64 (cbrt.f64 y.re)))
(*.f64 (neg.f64 (sqrt.f64 y.re)) (sqrt.f64 y.re))
(neg.f64 y.re)
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64)))) (cbrt.f64 y.re))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal 2 binary64))) (neg.f64 (cbrt.f64 y.re)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(neg.f64 y.re)
(/.f64 y.re #s(literal 1 binary64))
y.re
(/.f64 y.re #s(literal -1 binary64))
(neg.f64 y.re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.re))
y.re
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y.re #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y.re))))
(/.f64 (neg.f64 (pow.f64 y.re #s(literal 3 binary64))) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y.re #s(literal 2 binary64))) y.re)
(/.f64 (neg.f64 (pow.f64 y.re #s(literal 2 binary64))) y.re)
(pow.f64 y.re #s(literal 1 binary64))
y.re
(pow.f64 (cbrt.f64 y.re) #s(literal 3 binary64))
y.re
(pow.f64 (pow.f64 y.re #s(literal 3 binary64)) #s(literal 1/3 binary64))
y.re
(pow.f64 (sqrt.f64 y.re) #s(literal 2 binary64))
y.re
(sqrt.f64 (pow.f64 y.re #s(literal 2 binary64)))
(fabs.f64 y.re)
(log.f64 (exp.f64 y.re))
y.re
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y.re)))
y.re
(cbrt.f64 (pow.f64 y.re #s(literal 3 binary64)))
y.re
(expm1.f64 (log1p.f64 y.re))
(log1p.f64 (expm1.f64 y.re))
y.re
(exp.f64 (log.f64 y.re))
y.re
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 1 binary64)))
y.re

eval757.0ms (5.4%)

Compiler

Compiled 14172 to 2901 computations (79.5% saved)

prune272.0ms (1.9%)

Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New9088916
Fresh6511
Picked325
Done088
Total91723940
Accuracy
100.0%
Counts
940 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.5%
(/.f64 (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re) y.re)
23.2%
(/.f64 (/.f64 (neg.f64 x.re) (/.f64 y.re y.im)) y.re)
34.1%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) #s(literal 2 binary64)) x.re) y.im)
54.0%
(/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)
54.0%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
48.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
59.6%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
26.1%
(/.f64 (-.f64 x.im (/.f64 x.re (exp.f64 (log.f64 (/.f64 y.re y.im))))) y.re)
54.4%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
11.1%
(/.f64 (*.f64 (/.f64 x.re y.re) y.im) y.re)
43.6%
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.im)
39.2%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
23.2%
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
23.2%
(/.f64 (*.f64 x.re (/.f64 #s(literal -1 binary64) (/.f64 y.re y.im))) y.re)
23.2%
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal -1 binary64) y.re))) y.re)
42.0%
(/.f64 (neg.f64 x.re) y.im)
8.8%
(/.f64 x.re y.im)
7.2%
(/.f64 x.im (neg.f64 y.im))
43.5%
(/.f64 x.im y.re)
7.8%
(/.f64 x.im y.im)
21.8%
(*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 (neg.f64 x.im) y.im))
8.8%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.re)
41.9%
(*.f64 (/.f64 #s(literal -1 binary64) y.im) x.re)
Compiler

Compiled 729 to 347 computations (52.4% saved)

regimes124.0ms (0.9%)

Counts
45 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 x.re) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.im) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (*.f64 (/.f64 x.re y.re) y.im) y.re)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (/.f64 (neg.f64 x.re) (/.f64 y.re y.im)) y.re)
(/.f64 (/.f64 (*.f64 y.im x.re) (neg.f64 y.re)) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re) y.re)
(*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 (neg.f64 x.im) y.im))
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal -1 binary64) y.re))) y.re)
(/.f64 (*.f64 x.re (/.f64 #s(literal -1 binary64) (/.f64 y.re y.im))) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) 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 x.im (/.f64 y.im y.re)) x.re) y.im)
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))) y.re)
(/.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 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)))) 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 (hypot.f64 y.im y.re)) (/.f64 x.im y.im))
(*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 x.im (hypot.f64 y.im y.re)))
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 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 (/.f64 y.re (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
(/.f64 (-.f64 x.im (*.f64 x.re (exp.f64 (log.f64 (/.f64 y.im y.re))))) y.re)
(/.f64 (-.f64 x.im (/.f64 x.re (exp.f64 (log.f64 (/.f64 y.re y.im))))) y.re)
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.im y.im))) #s(literal 2 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)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64)) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im 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)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re x.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y.re x.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
Outputs
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
Calls

5 calls:

65.0ms
x.re
15.0ms
y.re
15.0ms
x.im
14.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
12.0ms
y.im
Results
AccuracySegmentsBranch
74.6%4x.re
72.5%4x.im
84.0%4y.re
85.3%4y.im
83.1%5(/.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)

regimes13.0ms (0.1%)

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

11.0ms
y.im
Results
AccuracySegmentsBranch
85.3%4y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes56.0ms (0.4%)

Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 x.re) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.im) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (*.f64 (/.f64 x.re y.re) y.im) y.re)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (/.f64 (neg.f64 x.re) (/.f64 y.re y.im)) y.re)
(/.f64 (/.f64 (*.f64 y.im x.re) (neg.f64 y.re)) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re) y.re)
(*.f64 (/.f64 (neg.f64 y.re) y.im) (/.f64 (neg.f64 x.im) y.im))
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal -1 binary64) y.re))) y.re)
(/.f64 (*.f64 x.re (/.f64 #s(literal -1 binary64) (/.f64 y.re y.im))) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) 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 x.im (/.f64 y.im y.re)) x.re) y.im)
(/.f64 (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))) y.re)
(/.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 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)))) y.re)
Outputs
(/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
Calls

2 calls:

46.0ms
y.re
8.0ms
y.im
Results
AccuracySegmentsBranch
80.0%3y.re
81.4%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

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

1 calls:

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

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

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

1 calls:

8.0ms
y.im
Results
AccuracySegmentsBranch
81.4%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

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

2 calls:

6.0ms
y.im
6.0ms
y.re
Results
AccuracySegmentsBranch
71.5%3y.re
74.7%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes157.0ms (1.1%)

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

1 calls:

156.0ms
y.im
Results
AccuracySegmentsBranch
74.7%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.2%)

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

4 calls:

8.0ms
x.im
5.0ms
y.im
5.0ms
x.re
5.0ms
y.re
Results
AccuracySegmentsBranch
53.4%3x.im
67.6%3y.re
56.8%3x.re
65.8%3y.im
Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0.1%)

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

4 calls:

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

Compiled 20 to 16 computations (20% saved)

regimes2.0ms (0%)

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

1 calls:

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

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

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

Compiled 20 to 16 computations (20% saved)

bsearch108.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
4.940552384683487e-12
6.7095893485455805e-12
11.0ms
-9.049112150034233e-152
-1.4196069936258447e-152
88.0ms
-1.8489445593739081e+78
-8.23273548188553e+77
Results
98.0ms224×0valid
Compiler

Compiled 473 to 291 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 86.0ms (95.7% of total)
ival-div: 2.0ms (2.2% of total)
ival-sub: 1.0ms (1.1% of total)
ival-add: 1.0ms (1.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
4.940552384683487e-12
6.7095893485455805e-12
11.0ms
-9.049112150034233e-152
-1.4196069936258447e-152
12.0ms
-1.8489445593739081e+78
-8.23273548188553e+77
Results
22.0ms224×0valid
Compiler

Compiled 484 to 302 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.6% of total)
ival-sub: 1.0ms (9.4% of total)
ival-div: 1.0ms (9.4% of total)
ival-add: 1.0ms (9.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
4.940552384683487e-12
6.7095893485455805e-12
15.0ms
-2.7943957605726115e-41
-4.044009360754874e-44
Results
14.0ms176×0valid
Compiler

Compiled 334 to 215 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (60.7% of total)
ival-sub: 1.0ms (12.1% of total)
ival-div: 1.0ms (12.1% of total)
ival-add: 1.0ms (12.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch66.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
4.940552384683487e-12
6.7095893485455805e-12
59.0ms
-2.7943957605726115e-41
-4.044009360754874e-44
Results
14.0ms176×0valid
Compiler

Compiled 334 to 215 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (60.6% of total)
ival-sub: 1.0ms (12.1% of total)
ival-div: 1.0ms (12.1% of total)
ival-add: 1.0ms (12.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch83.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
4.940552384683487e-12
6.7095893485455805e-12
75.0ms
-2.7943957605726115e-41
-4.044009360754874e-44
Results
75.0ms176×0valid
Compiler

Compiled 334 to 215 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (58.5% of total)
ival-sub: 1.0ms (11.7% of total)
ival-div: 1.0ms (11.7% of total)
ival-add: 1.0ms (11.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.4001263535656012e+73
2.048659838367592e+74
20.0ms
-15.036343031720502
-1.1790826492768736e-15
Results
25.0ms256×0valid
Compiler

Compiled 394 to 273 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (58.1% of total)
ival-div: 3.0ms (21.8% of total)
ival-sub: 1.0ms (7.3% of total)
ival-add: 1.0ms (7.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.4001263535656012e+73
2.048659838367592e+74
19.0ms
-15.036343031720502
-1.1790826492768736e-15
Results
22.0ms256×0valid
Compiler

Compiled 394 to 273 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (67.1% of total)
ival-div: 2.0ms (16.8% of total)
ival-sub: 1.0ms (8.4% of total)
ival-add: 1.0ms (8.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.0294497926907747e+71
1.981110928560407e+92
11.0ms
-1.4609757277872017e+20
-3.980271362137103e+19
Results
23.0ms256×0valid
Compiler

Compiled 298 to 225 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (67% of total)
ival-div: 2.0ms (16.7% of total)
ival-sub: 1.0ms (8.4% of total)
ival-add: 1.0ms (8.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.1115222845770525e+128
2.1374560897559047e+131
Results
12.0ms128×0valid
Compiler

Compiled 154 to 113 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (65.9% of total)
ival-sub: 1.0ms (16.5% of total)
ival-div: 1.0ms (16.5% of total)
ival-add: 1.0ms (16.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch67.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
66.0ms
4.2510692683137384e+120
7.937664706537232e+124
Results
62.0ms128×0valid
Compiler

Compiled 154 to 113 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 55.0ms (96% of total)
ival-sub: 1.0ms (1.7% of total)
ival-div: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify24.0ms (0.2%)

Algorithm
egg-herbie
Rules
16×+-commutative
15×sub-neg
15×*-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081167
11501167
21781167
31971167
42071167
52111167
62121167
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y.im #s(literal -1800000000000000097563746446701767464816424992145294357747791666544027598061568 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -7783797501194429/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re))) (if (<=.f64 y.im #s(literal 6437288204283977/1237940039285380274899124224 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -1479999999999999979660468575436639561600943837259155611869881359328542153768960 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -8019670152745775/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -3326863919754941/3138550867693340381917894711603833208051177722232017256448 binary64)) (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im) (if (<=.f64 y.im #s(literal 3837614121784679/618970019642690137449562112 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -8787942429541353/784637716923335095479473677900958302012794430558004314112 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 6437288204283977/1237940039285380274899124224 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -5394384303847929/196159429230833773869868419475239575503198607639501078528 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 3961408125713217/618970019642690137449562112 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -8 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 15999999999999999100828975180713136384915586064328808504705982272903315456 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -5764607523034235/4611686018427387904 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 21000000000000001369910609925525051813491159887546042704008501046699622400 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.re #s(literal -80000000000000000000 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 104000000000000001413287220215485019687082830002001548898937367435411456 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (<=.f64 y.im #s(literal 117999999999999996711376606480539798627393598689890846529657483583019946491436326433962647006568111064414155601192662076377589088256 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im))
(if (<=.f64 y.im #s(literal 78000000000000000903488044670084495640188446600408038834225366689534175235109854087808744843572094168072459904398996250034176 binary64)) (/.f64 x.im y.re) (/.f64 x.im y.im))
(/.f64 x.im y.im)
Outputs
(if (<=.f64 y.im #s(literal -1800000000000000097563746446701767464816424992145294357747791666544027598061568 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -7783797501194429/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re))) (if (<=.f64 y.im #s(literal 6437288204283977/1237940039285380274899124224 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -1800000000000000097563746446701767464816424992145294357747791666544027598061568 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -7783797501194429/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (/.f64 (fma.f64 x.im y.re (*.f64 y.im (neg.f64 x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re))) (if (<=.f64 y.im #s(literal 6437288204283977/1237940039285380274899124224 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -1479999999999999979660468575436639561600943837259155611869881359328542153768960 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -8019670152745775/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -1479999999999999979660468575436639561600943837259155611869881359328542153768960 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -8019670152745775/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 2011652563838743/309485009821345068724781056 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -3326863919754941/3138550867693340381917894711603833208051177722232017256448 binary64)) (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im) (if (<=.f64 y.im #s(literal 3837614121784679/618970019642690137449562112 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -8787942429541353/784637716923335095479473677900958302012794430558004314112 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 6437288204283977/1237940039285380274899124224 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -5394384303847929/196159429230833773869868419475239575503198607639501078528 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 3961408125713217/618970019642690137449562112 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -5394384303847929/196159429230833773869868419475239575503198607639501078528 binary64)) (not (<=.f64 y.im #s(literal 3961408125713217/618970019642690137449562112 binary64)))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re))
(if (<=.f64 y.im #s(literal -8 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 15999999999999999100828975180713136384915586064328808504705982272903315456 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -8 binary64)) (not (<=.f64 y.im #s(literal 15999999999999999100828975180713136384915586064328808504705982272903315456 binary64)))) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re))
(if (or (<=.f64 y.im #s(literal -8 binary64)) (not (<=.f64 y.im #s(literal 15999999999999999100828975180713136384915586064328808504705982272903315456 binary64)))) (/.f64 x.re (neg.f64 y.im)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re))
(if (<=.f64 y.im #s(literal -5764607523034235/4611686018427387904 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 21000000000000001369910609925525051813491159887546042704008501046699622400 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -5764607523034235/4611686018427387904 binary64)) (not (<=.f64 y.im #s(literal 21000000000000001369910609925525051813491159887546042704008501046699622400 binary64)))) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (or (<=.f64 y.im #s(literal -5764607523034235/4611686018427387904 binary64)) (not (<=.f64 y.im #s(literal 21000000000000001369910609925525051813491159887546042704008501046699622400 binary64)))) (/.f64 x.re (neg.f64 y.im)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.re #s(literal -80000000000000000000 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 104000000000000001413287220215485019687082830002001548898937367435411456 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (or (<=.f64 y.re #s(literal -80000000000000000000 binary64)) (not (<=.f64 y.re #s(literal 104000000000000001413287220215485019687082830002001548898937367435411456 binary64)))) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im))
(if (or (<=.f64 y.re #s(literal -80000000000000000000 binary64)) (not (<=.f64 y.re #s(literal 104000000000000001413287220215485019687082830002001548898937367435411456 binary64)))) (/.f64 x.im y.re) (/.f64 x.re (neg.f64 y.im)))
(if (<=.f64 y.im #s(literal 117999999999999996711376606480539798627393598689890846529657483583019946491436326433962647006568111064414155601192662076377589088256 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im))
(if (<=.f64 y.im #s(literal 78000000000000000903488044670084495640188446600408038834225366689534175235109854087808744843572094168072459904398996250034176 binary64)) (/.f64 x.im y.re) (/.f64 x.im y.im))
(/.f64 x.im y.im)

soundness2.2s (15.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
025273
1385238
24624238
0701024
1237992
2469992
31150992
43391992
55801992
66625992
76734992
86754992
96770992
107716992
037389
1634345
0118335767
1291533517
0143242342
1356240729
032408
1564357
072931312
1174629352
2696729328
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1040 to 364 computations (65% saved)

preprocess66.0ms (0.5%)

Compiler

Compiled 620 to 222 computations (64.2% saved)

end0.0ms (0%)

Profiling

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