_divideComplex, imaginary part

Time bar (total: 12.2s)

analyze32.0ms (0.3%)

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 17 to 13 computations (23.5% saved)

sample1.2s (9.9%)

Samples
932.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 584.0ms
ival-mult: 388.0ms (66.4% of total)
ival-div: 102.0ms (17.5% of total)
ival-sub: 42.0ms (7.2% of total)
ival-add: 40.0ms (6.8% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 5.0ms (0.9% of total)
Bogosity

preprocess267.0ms (2.2%)

Algorithm
egg-herbie
Rules
1 255×fma-define
795×fmm-def
503×div-sub
415×distribute-rgt-in
411×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0701024
1237992
2469992
31150992
43393992
55806992
66609992
76718992
86738992
96754992
107700992
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)))

explain240.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-2(-83809872377872.66 1.147659080250089e-200 -4.381086791913989e-178 1.5863666119153576e-161)(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40-0-(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
00-0-(*.f64 y.re y.re)
00-0-(*.f64 x.re y.im)
00-0-(*.f64 x.im y.re)
00-0-(*.f64 y.im y.im)
00-0-x.re
00-0-y.re
00-0-y.im
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))o/o580
(*.f64 x.re y.im)overflow38
(*.f64 x.im y.re)overflow38
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))overflow70
(*.f64 y.re y.re)overflow67
(*.f64 y.im y.im)overflow65
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))overflow118
/.f64(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))n/o330
(*.f64 y.re y.re)overflow67
(*.f64 y.im y.im)overflow65
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))overflow118
/.f64(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))o/n120
(*.f64 x.re y.im)overflow38
(*.f64 x.im y.re)overflow38
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))overflow70
/.f64(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))u/n70
(*.f64 x.re y.im)underflow38
(*.f64 x.im y.re)underflow38
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))underflow9
/.f64(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))n/u70
(*.f64 y.re y.re)underflow73
(*.f64 y.im y.im)underflow74
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))underflow19
-.f64(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))nan-rescue40
(*.f64 x.im y.re)overflow38
(*.f64 x.re y.im)overflow38
/.f64(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))u/u20
(*.f64 x.re y.im)underflow38
(*.f64 x.im y.re)underflow38
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))underflow9
(*.f64 y.re y.re)underflow73
(*.f64 y.im y.im)underflow74
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))underflow19
Confusion
Predicted +Predicted -
+1192
-0135
Precision
1.0
Recall
0.9834710743801653
Confusion?
Predicted +Predicted MaybePredicted -
+11902
-00135
Precision?
1.0
Recall?
0.9834710743801653
Freqs
test
numberfreq
0137
1115
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
67.0ms512×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 23.0ms (70.7% of total)
ival-div: 4.0ms (12.3% of total)
ival-sub: 3.0ms (9.2% of total)
ival-add: 2.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 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
54.2%
(/.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)))
54.2%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 37 to 21 computations (43.2% saved)

simplify99.0ms (0.8%)

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×fmm-def
318×times-frac
116×div-sub
109×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025364
145364
268364
3108364
4183364
5313364
6597364
71028364
81628364
92630364
103123364
113175364
123235364
133235364
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)

localize104.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.re (neg.f64 y.im))
accuracy100.0%
(neg.f64 y.im)
accuracy99.6%
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
accuracy54.7%
(/.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.re y.im)
accuracy100.0%
(*.f64 x.im y.re)
accuracy98.6%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
accuracy54.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Samples
46.0ms256×0valid
Compiler

Compiled 87 to 18 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 9.0ms (41.8% of total)
ival-fma: 5.0ms (23.2% of total)
ival-div: 3.0ms (13.9% of total)
ival-sub: 1.0ms (4.6% of total)
ival-add: 1.0ms (4.6% of total)
ival-neg: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.3%)

Counts
10 → 246
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 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))>
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#<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

75 calls:

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

rewrite412.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
920×log1p-expm1-u
920×expm1-log1p-u
297×fmm-def
139×add-exp-log
139×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025249
1385219
24624219
Stop Event
node limit
Counts
10 → 351
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 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))))))
(fma.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
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(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)))))

simplify742.0ms (6.1%)

Algorithm
egg-herbie
Rules
307×fma-define
306×associate-*r*
293×div-sub
291×times-frac
290×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064928744
1160526800
2627626748
Stop Event
node limit
Counts
597 → 400
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)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))
(*.f64 x.im y.re)
(*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))
(*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))
(*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))
(*.f64 x.im y.re)
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(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)))))
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 x.re (neg.f64 y.im)) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (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 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (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 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (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 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (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 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (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 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.im))) (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (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 y.im (/.f64 x.re 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 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.im))) (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (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 y.im (/.f64 x.re 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 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.im))) (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (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 y.im (/.f64 x.re 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 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (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 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.im)))))
(*.f64 (-.f64 (/.f64 (*.f64 y.im (/.f64 x.re 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 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.im)))))
(*.f64 (-.f64 (/.f64 (*.f64 y.im (/.f64 x.re 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 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.im)))))
(*.f64 (-.f64 (/.f64 (*.f64 y.im (/.f64 x.re 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 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))
(fma.f64 y.re (fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (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 x.im (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 y.re (/.f64 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)))) (/.f64 (neg.f64 x.re) y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (*.f64 y.re (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (neg.f64 x.re) y.im))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re 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 (*.f64 y.im x.re) 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 y.im (/.f64 x.re y.re))) x.im) y.re)
(/.f64 (+.f64 x.im (/.f64 (neg.f64 (fma.f64 y.im x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.im y.re)))) y.re)) y.re)
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(fma.f64 (*.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re) (*.f64 x.re y.im))
(fma.f64 y.re x.im (*.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)))))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (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 (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 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (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 y.re 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)))))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (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))))

eval116.0ms (0.9%)

Compiler

Compiled 8 803 to 1 462 computations (83.4% saved)

prune185.0ms (1.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New40014414
Fresh000
Picked112
Done000
Total40115416
Accuracy
99.8%
Counts
416 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
20.5%
(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))
52.6%
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
56.7%
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
54.0%
(/.f64 (-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.2%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
27.7%
(/.f64 (-.f64 (exp.f64 (log.f64 (*.f64 x.im y.re))) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
52.3%
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
55.2%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
50.2%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
44.2%
(/.f64 (neg.f64 x.re) y.im)
42.6%
(/.f64 x.im y.re)
34.0%
(*.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))))
40.9%
(*.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)))
40.3%
(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
Compiler

Compiled 467 to 293 computations (37.3% saved)

simplify196.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.im y.re)
cost-diff320
(/.f64 (-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
cost-diff12864
(-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64)))
cost-diff0
(neg.f64 x.im)
cost-diff0
(/.f64 y.im y.re)
cost-diff0
(fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))
cost-diff6400
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
cost-diff0
(*.f64 x.re (neg.f64 y.im))
cost-diff0
(/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)
cost-diff64
(+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re))
cost-diff64
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
cost-diff0
(/.f64 x.im y.re)
cost-diff0
(*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
cost-diff19648
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
Rules
1 222×fmm-def
969×fma-define
449×div-sub
382×distribute-lft-in
361×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045818
195806
2200722
3485722
41059722
52735722
64494722
75929722
87019722
97127722
107152722
117623722
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 y.im (neg.f64 x.re))
(neg.f64 x.re)
x.re
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im
y.re
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re))
x.im
(/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)
(*.f64 x.re (neg.f64 y.im))
x.re
(neg.f64 y.im)
y.im
y.re
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
(fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))
x.re
(/.f64 y.im y.re)
y.im
y.re
(neg.f64 x.im)
x.im
(neg.f64 y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64)))
(*.f64 x.im y.re)
x.im
y.re
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x.re y.im))
(*.f64 x.re y.im)
x.re
y.im
#s(literal 3 binary64)
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (*.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 y.im (neg.f64 x.re))
(neg.f64 x.re)
x.re
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im
y.re
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re)
(/.f64 (fma.f64 x.re (/.f64 (neg.f64 y.im) y.re) x.im) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re))
(+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re))
(fma.f64 x.re (/.f64 (neg.f64 y.im) y.re) x.im)
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
(-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
x.im
(/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)
(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
(*.f64 y.im (/.f64 (neg.f64 x.re) y.re))
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
(*.f64 x.re (neg.f64 y.im))
(*.f64 y.im (neg.f64 x.re))
x.re
(neg.f64 y.im)
y.im
y.re
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re)
(/.f64 (fma.f64 x.re (/.f64 (neg.f64 y.im) y.re) x.im) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))
(-.f64 (/.f64 (*.f64 y.im x.re) y.re) x.im)
(-.f64 (*.f64 y.im (/.f64 x.re y.re)) x.im)
(fma.f64 y.im (/.f64 x.re y.re) (neg.f64 x.im))
x.re
(/.f64 y.im y.re)
y.im
y.re
(neg.f64 x.im)
x.im
(neg.f64 y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (*.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64)))
(fma.f64 x.im y.re (*.f64 y.im (neg.f64 x.re)))
(fma.f64 y.re x.im (*.f64 y.im (neg.f64 x.re)))
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
(*.f64 x.im y.re)
(*.f64 y.re x.im)
x.im
y.re
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(*.f64 y.im x.re)
(cbrt.f64 (*.f64 x.re y.im))
(cbrt.f64 (*.f64 y.im x.re))
(*.f64 x.re y.im)
(*.f64 y.im x.re)
x.re
y.im
#s(literal 3 binary64)
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(*.f64 y.re y.re)
(*.f64 y.im y.im)

localize253.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
accuracy98.6%
(-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64)))
accuracy70.6%
(cbrt.f64 (*.f64 x.re y.im))
accuracy54.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
accuracy100.0%
(neg.f64 y.re)
accuracy100.0%
(neg.f64 x.im)
accuracy98.5%
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
accuracy92.5%
(fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))
accuracy100.0%
(neg.f64 y.im)
accuracy100.0%
(+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re))
accuracy98.5%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
accuracy91.1%
(/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)
accuracy100.0%
(/.f64 x.im y.re)
accuracy100.0%
(/.f64 x.im (hypot.f64 y.re y.im))
accuracy99.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
accuracy84.9%
(*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))
accuracy66.0%
(/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
Samples
205.0ms256×0valid
Compiler

Compiled 201 to 38 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-neg: 60.0ms (52.9% of total)
ival-div: 15.0ms (13.2% of total)
ival-mult: 13.0ms (11.5% of total)
ival-pow: 7.0ms (6.2% of total)
ival-hypot: 6.0ms (5.3% of total)
ival-fma: 5.0ms (4.4% of total)
ival-add: 2.0ms (1.8% of total)
ival-cbrt: 2.0ms (1.8% of total)
ival-sub: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series110.0ms (0.9%)

Counts
20 → 608
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))>
#<alt (hypot.f64 y.re y.im)>
#<alt (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re))>
#<alt (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)>
#<alt (*.f64 x.re (neg.f64 y.im))>
#<alt (/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))>
#<alt (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))>
#<alt (/.f64 y.im y.re)>
#<alt (neg.f64 x.im)>
#<alt (-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))>
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))>
#<alt (/.f64 x.im (hypot.f64 y.re y.im))>
#<alt (neg.f64 y.re)>
#<alt (cbrt.f64 (*.f64 x.re y.im))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 5 binary64)))))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))))))) (/.f64 x.im y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) 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)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (cbrt.f64 #s(literal -1 binary64))))>
Calls

168 calls:

TimeVariablePointExpression
9.0ms
x.im
@0
(/ (+ x.im (/ (* x.re (neg y.im)) y.re)) y.re)
6.0ms
y.re
@inf
(/ (+ (* x.re (/ y.im y.re)) (neg x.im)) (neg y.re))
5.0ms
y.im
@inf
(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
4.0ms
y.im
@0
(cbrt (* x.re y.im))
3.0ms
x.re
@-inf
(- (* x.im y.re) (pow (cbrt (* x.re y.im)) 3))

rewrite400.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
319×log1p-expm1-u
319×expm1-log1p-u
312×add-cube-cbrt
311×add-exp-log
310×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045586
1777504
Stop Event
node limit
Counts
20 → 514
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(hypot.f64 y.re y.im)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re))
(/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)
(*.f64 x.re (neg.f64 y.im))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
(fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))
(/.f64 y.im y.re)
(neg.f64 x.im)
(-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 x.im y.re) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 x.im (hypot.f64 y.re y.im))
(neg.f64 y.re)
(cbrt.f64 (*.f64 x.re y.im))
Outputs
(+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
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(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 x.im (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 x.im) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) x.im) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) y.re)
(-.f64 (exp.f64 (log1p.f64 y.re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y.re)
(*.f64 #s(literal -1 binary64) y.re)
(*.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 y.re))
(*.f64 (sqrt.f64 y.re) (sqrt.f64 y.re))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(pow.f64 y.re #s(literal 1 binary64))
(pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1/2 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)))
(fabs.f64 y.re)
(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)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y.im x.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y.im x.re)))
(*.f64 (cbrt.f64 x.re) (cbrt.f64 y.im))
(*.f64 (cbrt.f64 y.im) (cbrt.f64 x.re))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))))
(*.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y.im x.re) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y.im x.re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y.im x.re) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y.im x.re)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y.im x.re))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y.im x.re))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y.im x.re))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y.im x.re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im x.re)) #s(literal 1/3 binary64)))

simplify751.0ms (6.1%)

Algorithm
egg-herbie
Rules
416×distribute-rgt-in
416×distribute-lft-in
407×*-commutative
214×+-commutative
213×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0155747713
1414845705
Stop Event
node limit
Counts
1 122 → 1 062
Calls
Call 1
Inputs
(*.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re))) y.re))) y.re))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 (*.f64 #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 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (*.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 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) y.im)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) y.re)
(-.f64 (exp.f64 (log1p.f64 y.re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y.re)
(*.f64 #s(literal -1 binary64) y.re)
(*.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 y.re))
(*.f64 (sqrt.f64 y.re) (sqrt.f64 y.re))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(pow.f64 y.re #s(literal 1 binary64))
(pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1/2 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)))
(fabs.f64 y.re)
(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)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y.im x.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y.im x.re)))
(*.f64 (cbrt.f64 x.re) (cbrt.f64 y.im))
(*.f64 (cbrt.f64 y.im) (cbrt.f64 x.re))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))))
(*.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y.im x.re) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y.im x.re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y.im x.re) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y.im x.re)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y.im x.re))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y.im x.re))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y.im x.re))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y.im x.re))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im x.re)) #s(literal 1/3 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.re (neg.f64 y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 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 (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 (*.f64 y.re (fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 x.re 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 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re))) y.re)
(/.f64 (-.f64 (-.f64 x.im (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 (-.f64 (+.f64 (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re)) (*.f64 x.re (pow.f64 (/.f64 y.im 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 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 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) y.re))
(/.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x.re y.im) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)))) y.re))) y.re))
(/.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (*.f64 x.re (neg.f64 y.im)) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) y.re)) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re))) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x.re y.im) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re))) y.re))) y.re))
(/.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (*.f64 x.re (neg.f64 y.im)) (/.f64 (-.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re))) y.re)) y.re)) (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 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.im y.re))
(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(fma.f64 y.im (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.im) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (*.f64 y.im (-.f64 (*.f64 x.re (/.f64 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))
(fma.f64 y.im (-.f64 (*.f64 y.im (-.f64 (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.re (neg.f64 y.im))
(/.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 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 (*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re y.im))) y.im)
(/.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 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 (fma.f64 #s(literal -1 binary64) x.re (+.f64 (fma.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 x.im (/.f64 y.re y.im))) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 (+.f64 (-.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) x.re) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.re (neg.f64 y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im))) y.im))
(/.f64 (-.f64 x.re (/.f64 (fma.f64 x.im y.re (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)) (neg.f64 y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im) (*.f64 x.im y.re)) y.im))) y.im))
(/.f64 (-.f64 x.re (/.f64 (-.f64 (*.f64 x.im y.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) y.im)) (neg.f64 y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
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y.re
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y.re
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y.re
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y.re
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eval389.0ms (3.2%)

Compiler

Compiled 32 304 to 4 413 computations (86.3% saved)

prune700.0ms (5.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 243161 259
Fresh549
Picked415
Done101
Total1 253211 274
Accuracy
99.9%
Counts
1 274 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 y.re #s(literal 2 binary64))))
20.5%
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
52.6%
(/.f64 (fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im)) (neg.f64 y.re))
52.6%
(/.f64 (fma.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)) (neg.f64 x.im)) (neg.f64 y.re))
40.9%
(/.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
19.6%
(/.f64 (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re) y.re)
56.7%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
27.7%
(/.f64 (-.f64 (exp.f64 (log.f64 (*.f64 x.im y.re))) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
52.3%
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
55.2%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
21.0%
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
49.2%
(/.f64 (*.f64 x.im (-.f64 y.re (*.f64 x.re (/.f64 y.im x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
35.7%
(/.f64 (*.f64 x.im y.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.2%
(/.f64 (neg.f64 x.re) y.im)
42.6%
(/.f64 x.im y.re)
42.5%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
9.1%
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 x.im y.re))
52.1%
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
34.1%
(*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
19.6%
(*.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))
42.5%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 621 to 393 computations (36.7% saved)

simplify299.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y.re y.im)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
cost-diff128
(fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im))
cost-diff6528
(/.f64 (fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im)) (neg.f64 y.re))
cost-diff0
(/.f64 (*.f64 x.im y.re) y.im)
cost-diff64
(*.f64 #s(literal -1 binary64) x.re)
cost-diff128
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
cost-diff128
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
cost-diff0
(/.f64 y.im y.re)
cost-diff0
(neg.f64 x.re)
cost-diff0
(*.f64 (neg.f64 x.re) (/.f64 y.im y.re))
cost-diff0
(/.f64 (*.f64 (neg.f64 x.re) (/.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 y.re y.im)
cost-diff0
(*.f64 x.im (/.f64 y.re y.im))
cost-diff0
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
cost-diff0
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
Rules
1 468×fma-define
998×fmm-def
584×times-frac
267×div-sub
173×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034526
170526
2153514
3369510
4920510
52067510
63818510
74784510
85085510
95135510
105158510
115174510
125182510
135282510
146034510
156034510
166034510
Stop Event
saturated
Calls
Call 1
Inputs
(/.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 (neg.f64 x.re) y.im)
(neg.f64 x.re)
x.re
y.im
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(*.f64 (neg.f64 x.re) (/.f64 y.im y.re))
(neg.f64 x.re)
x.re
(/.f64 y.im y.re)
y.im
y.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
(/.f64 (fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im)) (neg.f64 y.re))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im))
x.re
(/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
#s(literal 1 binary64)
(/.f64 y.re y.im)
y.re
y.im
(neg.f64 x.im)
x.im
(neg.f64 y.re)
Outputs
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 y.re (/.f64 x.im y.im))
x.im
(/.f64 y.re y.im)
y.re
y.im
x.re
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.re (neg.f64 y.im))
(neg.f64 x.re)
x.re
y.im
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(*.f64 (neg.f64 x.re) (/.f64 (/.f64 y.im y.re) y.re))
(*.f64 (neg.f64 x.re) (/.f64 y.im (*.f64 y.re y.re)))
(*.f64 (/.f64 y.im y.re) (/.f64 (neg.f64 x.re) y.re))
(*.f64 x.re (/.f64 y.im (*.f64 (neg.f64 y.re) y.re)))
(/.f64 x.re (*.f64 (/.f64 y.re y.im) (neg.f64 y.re)))
(*.f64 (neg.f64 x.re) (/.f64 y.im y.re))
(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
(*.f64 (/.f64 x.re y.re) (neg.f64 y.im))
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
(neg.f64 x.re)
x.re
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
(fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re))
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(*.f64 #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)
x.im
y.re
y.im
(/.f64 (fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im)) (neg.f64 y.re))
(/.f64 (fma.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) y.im) (neg.f64 x.im)) (neg.f64 y.re))
(/.f64 (-.f64 (/.f64 (*.f64 x.re #s(literal 1 binary64)) (/.f64 y.re y.im)) x.im) (neg.f64 y.re))
(/.f64 (fma.f64 (/.f64 x.re y.re) y.im (neg.f64 x.im)) (neg.f64 y.re))
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im))
(fma.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) y.im) (neg.f64 x.im))
(-.f64 (/.f64 (*.f64 x.re #s(literal 1 binary64)) (/.f64 y.re y.im)) x.im)
(fma.f64 (/.f64 x.re y.re) y.im (neg.f64 x.im))
(fma.f64 y.im (/.f64 x.re y.re) (neg.f64 x.im))
x.re
(/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
(/.f64 y.im y.re)
#s(literal 1 binary64)
(/.f64 y.re y.im)
y.re
y.im
(neg.f64 x.im)
x.im
(neg.f64 y.re)

localize107.0ms (0.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 x.im)
accuracy98.8%
(/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
accuracy98.5%
(/.f64 (fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im)) (neg.f64 y.re))
accuracy92.5%
(fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im))
accuracy100.0%
(*.f64 x.im y.re)
accuracy100.0%
(*.f64 #s(literal -1 binary64) x.re)
accuracy99.5%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
accuracy88.5%
(/.f64 (*.f64 x.im y.re) y.im)
accuracy100.0%
(/.f64 y.im y.re)
accuracy100.0%
(neg.f64 x.re)
accuracy97.0%
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
accuracy89.9%
(*.f64 (neg.f64 x.re) (/.f64 y.im y.re))
accuracy100.0%
(/.f64 (neg.f64 x.re) y.im)
accuracy100.0%
(neg.f64 x.re)
accuracy100.0%
(/.f64 y.re y.im)
accuracy100.0%
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
accuracy99.5%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
accuracy91.3%
(*.f64 x.im (/.f64 y.re y.im))
Samples
75.0ms256×0valid
Compiler

Compiled 134 to 27 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 20.0ms (54.2% of total)
ival-mult: 7.0ms (19% of total)
ival-neg: 5.0ms (13.6% of total)
ival-fma: 3.0ms (8.1% of total)
ival-add: 1.0ms (2.7% of total)
ival-sub: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series92.0ms (0.8%)

Counts
15 → 438
Calls
Call 1
Inputs
#<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 x.im (/.f64 y.re y.im))>
#<alt (/.f64 y.re y.im)>
#<alt (/.f64 (neg.f64 x.re) y.im)>
#<alt (neg.f64 x.re)>
#<alt (/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)>
#<alt (*.f64 (neg.f64 x.re) (/.f64 y.im y.re))>
#<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))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im)) (neg.f64 y.re))>
#<alt (fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))>
Outputs
#<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 (+.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 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #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) (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 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im))))>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64)))>
#<alt (*.f64 x.im (-.f64 (/.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) #s(literal 1 binary64)))>
#<alt (*.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) x.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.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 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 y.im y.re)>
Calls

132 calls:

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

rewrite284.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
343×log1p-expm1-u
205×expm1-log1p-u
204×add-cube-cbrt
203×add-exp-log
203×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034381
1569330
27796330
Stop Event
node limit
Counts
15 → 622
Calls
Call 1
Inputs
(/.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))
(/.f64 y.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(neg.f64 x.re)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(*.f64 (neg.f64 x.re) (/.f64 y.im y.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)
(/.f64 (*.f64 x.im y.re) y.im)
(/.f64 (fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im)) (neg.f64 y.re))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
Outputs
(+.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (fma.f64 x.re #s(literal 1 binary64) x.re))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) x.re))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (fma.f64 (neg.f64 (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (fma.f64 (/.f64 y.re y.im) x.im (*.f64 x.im (/.f64 y.re y.im))))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (fma.f64 x.im (/.f64 y.re y.im) (*.f64 x.im (/.f64 y.re y.im))))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y.im)) (*.f64 x.im y.re) (*.f64 x.im (/.f64 y.re y.im))))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (fma.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re y.im))))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (fma.f64 (neg.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))) (*.f64 x.im (/.f64 y.re y.im))))
(+.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im)))) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (*.f64 x.im (/.f64 y.re y.im))))
(+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))
(+.f64 x.re (*.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re y.im))))
(+.f64 x.re (*.f64 (neg.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)))))
(+.f64 x.re (*.f64 (neg.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im)))) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(*.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)) (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 x.im (/.f64 y.re 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 x.im (/.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (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 x.im (/.f64 y.re y.im))) (sqrt.f64 x.re)) (-.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 x.re)))
(*.f64 (+.f64 (sqrt.f64 x.re) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im)))) (-.f64 (sqrt.f64 x.re) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.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 x.im (/.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 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 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #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 (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 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 (*.f64 x.im (/.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.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))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64)))
(-.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 #s(literal -1 binary64) (/.f64 y.im y.re))
(*.f64 #s(literal 1 binary64) (/.f64 y.im y.re))
(*.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y.im y.re)) (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #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) 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) y.re))
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal -1 binary64) y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 y.im))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)))
(*.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)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) #s(literal 1 binary64)) y.im)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (/.f64 y.re y.im) #s(literal -1 binary64))
(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))
(neg.f64 (/.f64 y.im y.re))
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #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.re y.im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im y.re)) #s(literal 1 binary64)))

simplify617.0ms (5%)

Algorithm
egg-herbie
Rules
461×associate-*r/
435×times-frac
399×*-commutative
366×associate-*l/
342×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106036838
1235635682
Stop Event
node limit
Counts
1 060 → 709
Calls
Call 1
Inputs
(*.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 (*.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 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.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)))))
(*.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)))))
(*.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)))))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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 (*.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 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.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)))))
(*.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)))))
(*.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)))))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.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)))))
(*.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)))))
(*.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)))))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(/.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)))
(/.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)))
(/.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)))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(/.f64 (*.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 (*.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 (*.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 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.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)))
(*.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)))
(*.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)))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.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))))
(*.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))))
(*.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))))
(*.f64 #s(literal -1 binary64) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))
(*.f64 #s(literal -1 binary64) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))
(*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))
(*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im)))
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))))
(/.f64 (*.f64 x.im y.re) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)
(*.f64 #s(literal -1 binary64) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(/.f64 (*.f64 x.im y.re) y.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) 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)
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) #s(literal 1 binary64)))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) #s(literal 1 binary64)))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x.re)
(*.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))))))
(*.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))))))
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(-.f64 (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) 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 #s(literal -1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re))
(*.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (/.f64 #s(literal -1 binary64) y.re))
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re) #s(literal 1 binary64))
(*.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)) 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 (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 (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)) 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 (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 (/.f64 #s(literal -1 binary64) y.re) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.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)))
(*.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 (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))
(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) 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)))
(+.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 x.im #s(literal 1 binary64) x.im))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (fma.f64 (neg.f64 (cbrt.f64 x.im)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) x.im))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (fma.f64 (neg.f64 (sqrt.f64 x.im)) (sqrt.f64 x.im) x.im))
(-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)
(-.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 0 binary64)) x.im)
(*.f64 #s(literal -1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64)))
(-.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 #s(literal -1 binary64) (/.f64 y.im y.re))
(*.f64 #s(literal 1 binary64) (/.f64 y.im y.re))
(*.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y.im y.re)) (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #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) 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) y.re))
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal -1 binary64) y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 y.im))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)))
(*.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)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) #s(literal 1 binary64)) y.im)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (/.f64 y.re y.im) #s(literal -1 binary64))
(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))
(neg.f64 (/.f64 y.im y.re))
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #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.re y.im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im y.re)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) 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 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) 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 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)
(/.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 x.im (pow.f64 y.im #s(literal 2 binary64))))
(*.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)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im x.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (/.f64 x.re x.im) y.im)))
(*.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)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im x.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (/.f64 x.re x.im) y.im)))
(*.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)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im x.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (/.f64 x.re x.im) y.im)))
(/.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 x.im (pow.f64 y.im #s(literal 2 binary64))))
(*.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)))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im x.im))))
(*.f64 (-.f64 (/.f64 (/.f64 x.re x.im) y.im) (/.f64 y.re (pow.f64 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 (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 x.im y.im)))))
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(neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #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.im y.re)) #s(literal 2 binary64))))
(*.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 (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 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 x.re)) (-.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 x.re)))
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re)
(*.f64 (+.f64 (sqrt.f64 x.re) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im)))) (-.f64 (sqrt.f64 x.re) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))
(-.f64 x.re (/.f64 x.im (/.f64 y.im y.re)))
(*.f64 (neg.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (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)))
(neg.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 x.im (/.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #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 (/.f64 x.im (/.f64 y.im y.re)) #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.im y.re)) #s(literal 2 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 (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 (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 (*.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 (*.f64 x.im (/.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 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 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #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.im y.re)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 (/.f64 x.im (/.f64 y.im y.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.im y.re)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #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 x.re (/.f64 y.re y.im))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 x.re (-.f64 x.re (/.f64 x.im (/.f64 y.im y.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 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 (*.f64 x.im (/.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.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))))
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(*.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
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(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))
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(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
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(fma.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 x.re #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re y.im)))
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re)
(fma.f64 #s(literal -1 binary64) x.re (*.f64 x.im (/.f64 y.re y.im)))
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re)
(fma.f64 (*.f64 x.im y.re) (/.f64 #s(literal 1 binary64) y.im) x.re)
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re y.im)) x.re)
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 #s(literal 1 binary64) x.re (*.f64 x.im (/.f64 y.re y.im)))
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(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 x.im (/.f64 y.re y.im)))
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(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (neg.f64 y.re))
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(log.f64 (exp.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(/.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))))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)
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(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)
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(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)
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(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)
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(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(+.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (fma.f64 x.im #s(literal 1 binary64) x.im))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (+.f64 x.im x.im))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (fma.f64 (neg.f64 (cbrt.f64 x.im)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) x.im))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (+.f64 x.im (neg.f64 x.im)))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (fma.f64 (neg.f64 (sqrt.f64 x.im)) (sqrt.f64 x.im) x.im))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (fma.f64 (neg.f64 (cbrt.f64 x.im)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) x.im))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (+.f64 x.im (neg.f64 x.im)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(-.f64 (+.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 0 binary64)) x.im)
(-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)
(*.f64 #s(literal -1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 x.im (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 x.im (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))))
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(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im y.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 y.im y.re)))
(*.f64 y.im (/.f64 #s(literal -1 binary64) y.re))
(/.f64 y.im (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 y.im y.re))
(/.f64 y.im (neg.f64 y.re))
(*.f64 #s(literal 1 binary64) (/.f64 y.im y.re))
(/.f64 y.im y.re)
(*.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(/.f64 y.im y.re)
(*.f64 (cbrt.f64 (/.f64 y.im y.re)) (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal -2 binary64))) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (cbrt.f64 (/.f64 y.im y.re)) (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(/.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 y.im (neg.f64 y.re))
(*.f64 (sqrt.f64 (/.f64 y.im y.re)) (sqrt.f64 (/.f64 y.im y.re)))
(/.f64 y.im y.re)
(*.f64 (sqrt.f64 y.im) (/.f64 (sqrt.f64 y.im) y.re))
(/.f64 y.im y.re)
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (/.f64 #s(literal -1 binary64) y.re)))
(/.f64 y.im (neg.f64 y.re))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal -1 binary64) y.re))
(/.f64 y.im y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) y.im)
(/.f64 y.im (neg.f64 y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 y.im))
(/.f64 y.im y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal -1 binary64)))
(/.f64 y.im (neg.f64 y.re))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y.re y.im))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y.re y.im))) (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)))
(/.f64 y.im y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y.im (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(/.f64 (/.f64 y.im (cbrt.f64 y.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(/.f64 (/.f64 y.im (sqrt.f64 y.re)) (sqrt.f64 y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(/.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 (cbrt.f64 (/.f64 y.im y.re)) (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 y.im y.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 y.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(/.f64 (/.f64 y.im (sqrt.f64 y.re)) (sqrt.f64 y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) y.re))
(/.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)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y.im (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(/.f64 (/.f64 y.im (cbrt.f64 y.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) #s(literal 1 binary64)) y.im)
(/.f64 y.im (neg.f64 y.re))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(/.f64 y.im (neg.f64 y.re))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(/.f64 y.im (neg.f64 y.re))
(pow.f64 (/.f64 y.re y.im) #s(literal -1 binary64))
(/.f64 y.im y.re)
(pow.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(/.f64 y.im y.re)
(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
(/.f64 y.im y.re)
(pow.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y.im y.re)
(pow.f64 (sqrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64))
(/.f64 y.im y.re)
(neg.f64 (/.f64 y.im y.re))
(/.f64 y.im (neg.f64 y.re))
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im y.re)))
(/.f64 y.im y.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im y.re))))
(/.f64 y.im y.re)
(cbrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))
(/.f64 y.im y.re)
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(/.f64 y.im y.re)
(expm1.f64 (log1p.f64 (/.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 y.im y.re)))
(/.f64 y.im y.re)
(exp.f64 (log.f64 (/.f64 y.im y.re)))
(/.f64 y.im y.re)
(exp.f64 (*.f64 (log.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)))
(/.f64 y.im y.re)
(exp.f64 (*.f64 (log.f64 (/.f64 y.im y.re)) #s(literal 1 binary64)))
(/.f64 y.im y.re)

eval124.0ms (1%)

Compiler

Compiled 12 200 to 2 494 computations (79.6% saved)

prune235.0ms (1.9%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New86515880
Fresh7815
Picked325
Done011
Total87526901
Accuracy
99.9%
Counts
901 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.5%
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
13.2%
(/.f64 (pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (neg.f64 y.re))
19.6%
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64)) (neg.f64 y.re))
40.9%
(/.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
19.6%
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
23.8%
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
24.7%
(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
55.2%
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
56.7%
(/.f64 (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re) y.im)
52.3%
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
43.9%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (expm1.f64 (log1p.f64 (*.f64 y.re x.im))) y.im)) y.im)
21.0%
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
21.0%
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))) y.re)
24.7%
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
49.2%
(/.f64 (*.f64 x.im (-.f64 y.re (*.f64 x.re (/.f64 y.im x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
35.7%
(/.f64 (*.f64 x.im y.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.2%
(/.f64 (neg.f64 x.re) y.im)
10.0%
(/.f64 x.re y.im)
42.6%
(/.f64 x.im y.re)
42.5%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
9.1%
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 x.im y.re))
23.0%
(*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (/.f64 #s(literal 1 binary64) y.im))
21.0%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 x.re (/.f64 y.im y.re)))
44.1%
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
48.3%
(*.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)))
42.5%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 651 to 431 computations (33.8% saved)

simplify215.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(/.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) y.im)
cost-diff0
(fma.f64 x.im (/.f64 y.re y.im) x.re)
cost-diff128
(*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (/.f64 #s(literal 1 binary64) y.im))
cost-diff-6336
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
cost-diff-6336
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
cost-diff0
(/.f64 x.re y.re)
cost-diff0
(*.f64 y.im (/.f64 x.re y.re))
cost-diff-128
(/.f64 y.re y.im)
cost-diff-128
(*.f64 x.im (/.f64 y.re y.im))
cost-diff0
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
cost-diff0
(/.f64 x.re y.im)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)
cost-diff128
(*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re))
cost-diff128
(-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re)
cost-diff128
(/.f64 (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re) y.im)
Rules
1 202×fma-define
739×fmm-def
254×times-frac
205×div-sub
169×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028505
165457
2138457
3326457
4762457
51316457
62534457
73803457
84378457
94742457
104903457
114922457
124922457
134926457
144926457
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re) y.im)
(-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re)
(*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re))
x.im
(*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)
(/.f64 #s(literal 1 binary64) y.im)
#s(literal 1 binary64)
y.im
y.re
x.re
(/.f64 x.re y.im)
x.re
y.im
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(*.f64 x.im (/.f64 y.re y.im))
x.im
(/.f64 y.re y.im)
y.re
y.im
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
x.im
(*.f64 y.im (/.f64 x.re y.re))
y.im
(/.f64 x.re y.re)
x.re
y.re
(*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
x.im
(/.f64 y.re y.im)
y.re
y.im
x.re
(/.f64 #s(literal 1 binary64) y.im)
#s(literal 1 binary64)
Outputs
(/.f64 (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im (/.f64 (*.f64 #s(literal 1 binary64) y.re) y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re)
(-.f64 (*.f64 x.im (/.f64 (*.f64 #s(literal 1 binary64) y.re) y.im)) x.re)
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re))
(*.f64 x.im (/.f64 (*.f64 #s(literal 1 binary64) y.re) y.im))
(*.f64 x.im (/.f64 y.re y.im))
x.im
(*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)
(/.f64 (*.f64 #s(literal 1 binary64) y.re) y.im)
(/.f64 y.re y.im)
(/.f64 #s(literal 1 binary64) y.im)
#s(literal 1 binary64)
y.im
y.re
x.re
(/.f64 x.re y.im)
x.re
y.im
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.im y.im))
(*.f64 y.re (/.f64 (/.f64 x.im y.im) y.im))
(*.f64 x.im (/.f64 y.re y.im))
(*.f64 x.im (/.f64 (*.f64 #s(literal 1 binary64) y.re) y.im))
x.im
(/.f64 y.re y.im)
(/.f64 (*.f64 #s(literal 1 binary64) y.re) y.im)
y.re
y.im
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (fma.f64 (/.f64 x.re y.re) (neg.f64 y.im) x.im) y.re)
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
(fma.f64 (/.f64 x.re y.re) (neg.f64 y.im) x.im)
x.im
(*.f64 y.im (/.f64 x.re y.re))
y.im
(/.f64 x.re y.re)
x.re
y.re
(*.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 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)
(fma.f64 x.im (/.f64 y.re y.im) x.re)
x.im
(/.f64 y.re y.im)
(/.f64 (*.f64 #s(literal 1 binary64) y.re) y.im)
y.re
y.im
x.re
(/.f64 #s(literal 1 binary64) y.im)
#s(literal 1 binary64)

localize104.0ms (0.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y.re y.im)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y.im)
accuracy99.3%
(*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (/.f64 #s(literal 1 binary64) y.im))
accuracy95.7%
(fma.f64 x.im (/.f64 y.re y.im) x.re)
accuracy100.0%
(/.f64 x.re y.re)
accuracy100.0%
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
accuracy98.5%
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
accuracy92.0%
(*.f64 y.im (/.f64 x.re y.re))
accuracy100.0%
(/.f64 y.re y.im)
accuracy99.1%
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
accuracy91.3%
(*.f64 x.im (/.f64 y.re y.im))
accuracy100.0%
(/.f64 x.re y.im)
accuracy100.0%
(-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)
accuracy99.5%
(/.f64 (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re) y.im)
accuracy91.3%
(*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re))
Samples
78.0ms256×0valid
Compiler

Compiled 120 to 22 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 20.0ms (41.5% of total)
ival-sub: 18.0ms (37.3% of total)
ival-mult: 8.0ms (16.6% of total)
ival-fma: 3.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.3%)

Counts
13 → 420
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re) y.im)>
#<alt (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re)>
#<alt (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)>
#<alt (*.f64 y.im (/.f64 x.re y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)>
#<alt (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))>
#<alt (*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (fma.f64 x.im (/.f64 y.re y.im) x.re)>
#<alt (/.f64 #s(literal 1 binary64) y.im)>
Outputs
#<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 (*.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 (+.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 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #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 #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 #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 #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) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)) (/.f64 x.re x.im))))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re)) y.im)>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)>
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#<alt (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (*.f64 #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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<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)))>
#<alt (/.f64 x.re y.im)>
#<alt (+.f64 (/.f64 x.re y.im) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.im) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 x.re (*.f64 x.im y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (/.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 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 x.re (*.f64 x.im y.im))) (*.f64 #s(literal -1 binary64) (/.f64 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 x.re (*.f64 x.im y.im))) (*.f64 #s(literal -1 binary64) (/.f64 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 x.re (*.f64 x.im y.im))) (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (/.f64 x.re y.im)>
#<alt (+.f64 (/.f64 x.re y.im) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.im) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.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 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.re (+.f64 (/.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 #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 #s(literal -1 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 #s(literal -1 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 #s(literal -1 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 x.im y.re) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 x.re y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) 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 (*.f64 #s(literal -1 binary64) 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 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 x.re y.im) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.im) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.im) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (/.f64 x.re y.im)>
#<alt (*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.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 x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (+.f64 (/.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 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.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 #s(literal -1 binary64) (/.f64 x.re y.re)))))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.im)>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt x.re>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))>
#<alt x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 1 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 y.im))) #s(literal 1 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 y.im))) #s(literal 1 binary64))))>
Calls

120 calls:

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

rewrite292.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
971×log1p-expm1-u
193×expm1-log1p-u
191×add-cube-cbrt
190×add-exp-log
190×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028329
1470326
26714326
Stop Event
node limit
Counts
13 → 450
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re) y.im)
(-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re)
(*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)
(/.f64 x.re y.im)
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(*.f64 y.im (/.f64 x.re y.re))
(/.f64 x.re y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
(*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(/.f64 #s(literal 1 binary64) y.im)
Outputs
(+.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im) (fma.f64 (neg.f64 (/.f64 x.re y.im)) #s(literal 1 binary64) (/.f64 x.re y.im)))
(+.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y.im)) x.re (/.f64 x.re y.im)))
(+.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) 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 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) 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 (*.f64 x.im (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) (neg.f64 (/.f64 x.re y.im)))
(+.f64 (*.f64 x.im (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))
(+.f64 (*.f64 x.im (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) (*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) y.im)))
(+.f64 (*.f64 x.im (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im))))
(+.f64 (*.f64 x.im (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x.re y.im))) (sqrt.f64 (/.f64 x.re y.im))))
(-.f64 (*.f64 x.im (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) (/.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re))
(*.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) y.re))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) (cbrt.f64 y.re)))
(pow.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) (neg.f64 y.re)))
(neg.f64 (/.f64 (neg.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) y.re))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(exp.f64 (log.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)) #s(literal 1 binary64)))
(+.f64 x.im (*.f64 y.im (neg.f64 (/.f64 x.re y.re))))
(+.f64 x.im (*.f64 (*.f64 y.im (neg.f64 (/.f64 x.re y.re))) #s(literal 1 binary64)))
(+.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) (fma.f64 (*.f64 y.im (neg.f64 (/.f64 x.re y.re))) #s(literal 1 binary64) (*.f64 y.im (/.f64 x.re y.re))))
(+.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) (fma.f64 (neg.f64 (/.f64 x.re y.re)) y.im (*.f64 y.im (/.f64 x.re y.re))))
(+.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) (fma.f64 (neg.f64 y.im) (/.f64 x.re y.re) (*.f64 y.im (/.f64 x.re y.re))))
(+.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y.im (/.f64 x.re y.re)))) (pow.f64 (cbrt.f64 (*.f64 y.im (/.f64 x.re y.re))) #s(literal 2 binary64)) (*.f64 y.im (/.f64 x.re y.re))))
(+.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y.im (/.f64 x.re y.re)))) (sqrt.f64 (*.f64 y.im (/.f64 x.re y.re))) (*.f64 y.im (/.f64 x.re y.re))))
(+.f64 (*.f64 y.im (neg.f64 (/.f64 x.re y.re))) x.im)
(*.f64 #s(literal 1 binary64) (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))
(*.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) (pow.f64 (cbrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))))
(*.f64 (sqrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) (sqrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))))
(*.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 (*.f64 y.im (/.f64 x.re y.re)) (+.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))))))
(*.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))))
(*.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 y.im (/.f64 x.re y.re)))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 y.im (/.f64 x.re y.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 (*.f64 y.im (/.f64 x.re y.re)) (+.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 (*.f64 y.im (/.f64 x.re y.re)) (+.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 2 binary64))) (+.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 y.im (/.f64 x.re y.re)) (+.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 2 binary64)))) (neg.f64 (+.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (neg.f64 (/.f64 x.re y.re))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y.im (neg.f64 (/.f64 x.re y.re))) (*.f64 y.im (neg.f64 (/.f64 x.re y.re)))) (*.f64 x.im (*.f64 y.im (neg.f64 (/.f64 x.re y.re)))))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (*.f64 y.im (neg.f64 (/.f64 x.re y.re))) (*.f64 y.im (neg.f64 (/.f64 x.re y.re))))) (-.f64 x.im (*.f64 y.im (neg.f64 (/.f64 x.re y.re)))))
(pow.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))))
(cbrt.f64 (pow.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))))
(log1p.f64 (expm1.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))))
(exp.f64 (log.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x.im (*.f64 y.im (neg.f64 (/.f64 x.re y.re))))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (*.f64 y.im (neg.f64 (/.f64 x.re y.re))))
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (*.f64 y.im (neg.f64 (/.f64 x.re y.re))))
(+.f64 (*.f64 x.im (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) (/.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)
(/.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (neg.f64 y.im))
(/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 1 binary64)) y.im)
(/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal -1 binary64)) (neg.f64 y.im))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re)) (neg.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))
(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 (/.f64 #s(literal 1 binary64) y.im) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 x.im (/.f64 y.im y.re)) x.re)
(+.f64 x.re (/.f64 x.im (/.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.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 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 1 binary64))
(*.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)) (*.f64 (cbrt.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)) (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 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (/.f64 x.im (/.f64 y.im y.re)) 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))
(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))))
(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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)) (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)))
(*.f64 (pow.f64 y.im #s(literal -1/2 binary64)) (pow.f64 y.im #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y.im) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y.im) #s(literal -1 binary64)))
(pow.f64 y.im #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y.im #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y.im))
(sqrt.f64 (pow.f64 y.im #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y.im))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.im)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y.im)))
(exp.f64 (neg.f64 (log.f64 y.im)))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y.im)) #s(literal 1 binary64)))

simplify564.0ms (4.6%)

Algorithm
egg-herbie
Rules
452×times-frac
436×fma-define
375×associate-*r/
310×associate-*l/
246×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107130587
1253928749
Stop Event
node limit
Counts
870 → 702
Calls
Call 1
Inputs
(*.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 (*.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 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.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)))))
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(*.f64 (pow.f64 y.im #s(literal -1/2 binary64)) (pow.f64 y.im #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y.im) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y.im) #s(literal -1 binary64)))
(pow.f64 y.im #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 y.im #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) y.im))
(sqrt.f64 (pow.f64 y.im #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y.im))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.im)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y.im)))
(exp.f64 (neg.f64 (log.f64 y.im)))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y.im)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 x.im y.im) y.re (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 (fma.f64 (/.f64 x.im y.im) y.re (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 (fma.f64 (/.f64 x.im y.im) y.re (neg.f64 x.re)) y.im)
(/.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 x.im (pow.f64 y.im #s(literal 2 binary64))))
(*.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)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im x.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (/.f64 x.re x.im) y.im)))
(*.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)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im x.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (/.f64 x.re x.im) y.im)))
(*.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)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im x.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (/.f64 x.re x.im) y.im)))
(/.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 x.im (pow.f64 y.im #s(literal 2 binary64))))
(*.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)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im x.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (/.f64 x.re x.im) y.im)))
(*.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)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im x.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (/.f64 x.re x.im) y.im)))
(*.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)))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im x.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (/.f64 x.re x.im) y.im)))
(/.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 x.im (pow.f64 y.im #s(literal 2 binary64))))
(/.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)))
(/.f64 (fma.f64 x.im y.re (*.f64 y.im (neg.f64 x.re))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 2 binary64)))
(/.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)))
(/.f64 (fma.f64 x.im y.re (*.f64 y.im (neg.f64 x.re))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 2 binary64)))
(/.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)))
(/.f64 (fma.f64 x.im y.re (*.f64 y.im (neg.f64 x.re))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 x.im y.im) y.re (neg.f64 x.re)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 x.im y.im) y.re (neg.f64 x.re)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 x.im y.im) y.re (neg.f64 x.re)) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 x.im y.im) y.re (neg.f64 x.re)) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 x.im y.im) y.re (neg.f64 x.re)) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 x.im y.im) y.re (neg.f64 x.re)) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 x.im y.im) y.re (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 (fma.f64 (/.f64 x.im y.im) y.re (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 (fma.f64 (/.f64 x.im y.im) y.re (neg.f64 x.re)) y.im)
(/.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 x.im (pow.f64 y.im #s(literal 2 binary64))))
(*.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)))))
(*.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re)) (/.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 (/.f64 x.re y.re) y.im)))
(*.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)))))
(*.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re)) (/.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 (/.f64 x.re y.re) y.im)))
(*.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)))))
(*.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re)) (/.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 (/.f64 x.re y.re) y.im)))
(/.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 x.im (pow.f64 y.im #s(literal 2 binary64))))
(*.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)))))
(*.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re)) (/.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 (/.f64 x.re y.re) y.im)))
(*.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)))))
(*.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re)) (/.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 (/.f64 x.re y.re) y.im)))
(*.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)))))
(*.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re)) (/.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 (/.f64 x.re y.re) y.im)))
(/.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 x.im (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 x.im y.im) y.re (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 (fma.f64 (/.f64 x.im y.im) y.re (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 (fma.f64 (/.f64 x.im y.im) y.re (neg.f64 x.re)) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(*.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)))
(*.f64 x.re (+.f64 (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) y.im)))
(*.f64 x.re (fma.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y.im)))
(*.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)))
(*.f64 x.re (+.f64 (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) y.im)))
(*.f64 x.re (fma.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y.im)))
(*.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)))
(*.f64 x.re (+.f64 (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) y.im)))
(*.f64 x.re (fma.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) y.im)))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(*.f64 #s(literal -1 binary64) (*.f64 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))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y.im) (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))) (neg.f64 x.re))
(*.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))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y.im) (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))) (neg.f64 x.re))
(*.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))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y.im) (*.f64 x.im (/.f64 y.re (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64))))
(+.f64 (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 3 binary64))))
(+.f64 (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)
(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))))
(+.f64 (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)
(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)))
(+.f64 (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)))
(+.f64 (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) 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 (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)
(+.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re)
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(+.f64 x.re (/.f64 x.im (/.f64 y.im y.re)))
(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))
(expm1.f64 (log1p.f64 (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))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(*.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)
(*.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)))
(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)) (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(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)) (*.f64 (cbrt.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)
(*.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)))
(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 (sqrt.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)
(/.f64 (-.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x.im y.im) y.re) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x.im y.im) y.re) x.re))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 (/.f64 x.im y.im) y.re (neg.f64 x.re)))
(/.f64 (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x.im y.im) y.re) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x.im y.im) y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (*.f64 (/.f64 x.im y.im) y.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))))
(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)
(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)
(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)
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(/.f64 #s(literal 1 binary64) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)) (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)))
(/.f64 (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64))) (cbrt.f64 y.im))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)))
(/.f64 (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64))) (cbrt.f64 y.im))
(*.f64 (pow.f64 y.im #s(literal -1/2 binary64)) (pow.f64 y.im #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) y.im)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y.im) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y.im) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 y.im) #s(literal -2 binary64))
(pow.f64 y.im #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) y.im)
(pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y.im)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) y.im)
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) y.im)
(pow.f64 (pow.f64 y.im #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) y.im)
(neg.f64 (/.f64 #s(literal -1 binary64) y.im))
(/.f64 #s(literal 1 binary64) y.im)
(sqrt.f64 (pow.f64 y.im #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) y.im)))
(/.f64 #s(literal 1 binary64) y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) y.im))))
(/.f64 #s(literal 1 binary64) y.im)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) y.im)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) y.im)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) y.im)))
(/.f64 #s(literal 1 binary64) y.im)
(exp.f64 (neg.f64 (log.f64 y.im)))
(/.f64 #s(literal 1 binary64) y.im)
(exp.f64 (*.f64 (log.f64 y.im) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) y.im)
(exp.f64 (*.f64 (neg.f64 (log.f64 y.im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) y.im)

eval193.0ms (1.6%)

Compiler

Compiled 12 007 to 2 411 computations (79.9% saved)

prune310.0ms (2.5%)

Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New8656871
Fresh11718
Picked325
Done033
Total86928897
Accuracy
99.9%
Counts
897 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.5%
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
55.9%
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)) #s(literal 3 binary64))
13.2%
(/.f64 (pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (neg.f64 y.re))
40.9%
(/.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
19.6%
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
23.8%
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
24.7%
(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
55.2%
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
40.4%
(/.f64 (-.f64 x.im (pow.f64 (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.re)
52.3%
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
43.9%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (expm1.f64 (log1p.f64 (*.f64 y.re x.im))) y.im)) y.im)
21.0%
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
21.0%
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))) y.re)
49.2%
(/.f64 (*.f64 x.im (-.f64 y.re (*.f64 x.re (/.f64 y.im x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
24.6%
(/.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) y.im)
35.7%
(/.f64 (*.f64 x.im y.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.2%
(/.f64 (neg.f64 x.re) y.im)
10.0%
(/.f64 x.re y.im)
42.6%
(/.f64 x.im y.re)
42.5%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
9.1%
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 x.im y.re))
24.3%
(*.f64 (/.f64 y.re y.im) (/.f64 x.im y.im))
24.7%
(*.f64 (/.f64 x.im (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) y.im))
21.0%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 x.re (/.f64 y.im y.re)))
17.4%
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.re y.im) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y.im))
44.1%
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
48.3%
(*.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)))
42.5%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 961 to 421 computations (56.2% saved)

regimes94.0ms (0.8%)

Counts
53 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.im y.im))
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 x.im y.re))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 x.re (/.f64 y.im y.re)))
(*.f64 (/.f64 x.im (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) y.im)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(/.f64 (*.f64 x.im y.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) 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 y.re (*.f64 x.re (/.f64 y.im x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(/.f64 (fma.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)) (neg.f64 x.im)) (neg.f64 y.re))
(/.f64 (fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im)) (neg.f64 y.re))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.re y.im) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y.im))
(*.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)))
(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)) #s(literal 3 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (expm1.f64 (log1p.f64 (*.f64 y.re x.im))) y.im)) y.im)
(/.f64 (-.f64 x.im (pow.f64 (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) 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 (exp.f64 (log.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) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64)) (neg.f64 y.re))
(/.f64 (pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (neg.f64 y.re))
(*.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)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(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 (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 y.re #s(literal 2 binary64))))
(*.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))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
Outputs
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
Calls

5 calls:

18.0ms
y.re
16.0ms
x.im
16.0ms
y.im
15.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
15.0ms
x.re
Results
AccuracySegmentsBranch
75.1%2x.re
71.1%1x.im
86.4%4y.re
90.3%5y.im
77.5%3(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes36.0ms (0.3%)

Counts
52 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.im y.im))
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 x.im y.re))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 x.re (/.f64 y.im y.re)))
(*.f64 (/.f64 x.im (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) y.im)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(/.f64 (*.f64 x.im y.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) 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 y.re (*.f64 x.re (/.f64 y.im x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(/.f64 (fma.f64 x.re (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)) (neg.f64 x.im)) (neg.f64 y.re))
(/.f64 (fma.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im)) (neg.f64 x.im)) (neg.f64 y.re))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.re y.im) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y.im))
(*.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)))
(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)) #s(literal 3 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (expm1.f64 (log1p.f64 (*.f64 y.re x.im))) y.im)) y.im)
(/.f64 (-.f64 x.im (pow.f64 (pow.f64 (*.f64 y.im (/.f64 x.re y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))) 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 (exp.f64 (log.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) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64)) (neg.f64 y.re))
(/.f64 (pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (neg.f64 y.re))
(*.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)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(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 (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 y.re #s(literal 2 binary64))))
(*.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))
Outputs
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
Calls

2 calls:

17.0ms
y.re
16.0ms
y.im
Results
AccuracySegmentsBranch
81.2%3y.re
85.0%5y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes19.0ms (0.2%)

Counts
25 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.im y.im))
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 x.im y.re))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 x.re (/.f64 y.im y.re)))
(*.f64 (/.f64 x.im (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) y.im)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(/.f64 (*.f64 x.im y.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) x.re) y.im)
Outputs
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
Calls

2 calls:

10.0ms
y.re
8.0ms
y.im
Results
AccuracySegmentsBranch
80.9%3y.re
80.4%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Counts
19 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.im y.im))
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 x.im y.re))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 x.re (/.f64 y.im y.re)))
(*.f64 (/.f64 x.im (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) y.im)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
Outputs
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
Calls

1 calls:

6.0ms
y.re
Results
AccuracySegmentsBranch
80.8%3y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0.2%)

Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.im y.im))
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 x.im y.re))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 x.re (/.f64 y.im y.re)))
(*.f64 (/.f64 x.im (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) y.im)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
Outputs
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (neg.f64 x.re) y.im)
Calls

3 calls:

8.0ms
y.im
6.0ms
x.re
6.0ms
y.re
Results
AccuracySegmentsBranch
56.9%2x.re
74.4%3y.im
71.4%3y.re
Compiler

Compiled 15 to 12 computations (20% saved)

regimes20.0ms (0.2%)

Counts
17 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.im y.im))
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 x.im y.re))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 x.re (/.f64 y.im y.re)))
(*.f64 (/.f64 x.im (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.im) y.re)) y.im)
Outputs
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
Calls

3 calls:

8.0ms
x.im
5.0ms
y.re
5.0ms
y.im
Results
AccuracySegmentsBranch
66.3%3y.re
55.1%3x.im
67.0%3y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes9.0ms (0.1%)

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

4 calls:

4.0ms
x.re
2.0ms
x.im
2.0ms
y.im
1.0ms
y.re
Results
AccuracySegmentsBranch
42.6%1x.im
42.6%1x.re
42.6%1y.re
46.1%3y.im
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x.re
1.0ms
y.im
Results
AccuracySegmentsBranch
42.6%1x.re
42.6%1y.im
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch72.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
4.316997305246351e+124
6.309486885987655e+138
14.0ms
3.7112867704557276e-182
4.894252808219654e-179
18.0ms
-1.912875606986033e-97
-3.32789078693918e-114
15.0ms
-4.1833207481580995e+152
-7.576687931485314e+148
Samples
46.0ms576×0valid
Compiler

Compiled 1 552 to 936 computations (39.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 16.0ms (61.1% of total)
ival-div: 4.0ms (15.3% of total)
ival-sub: 3.0ms (11.5% of total)
ival-add: 3.0ms (11.5% of total)
ival-true: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)

bsearch69.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.2101682797919113e+82
8.505873623761433e+83
22.0ms
1.7162407895076232e-136
1.2613220531740969e-116
17.0ms
-5.363570824161135e-49
-1.4416073256589215e-54
12.0ms
-1.0874081874530627e+82
-4.9901939714651306e+79
Samples
47.0ms544×0valid
Compiler

Compiled 1 198 to 752 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 19.0ms (65.3% of total)
ival-div: 4.0ms (13.7% of total)
ival-add: 4.0ms (13.7% of total)
ival-sub: 3.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.247655638839686e+44
5.211016670403891e+44
9.0ms
-2.2815143465424003e+28
-7.242065125942941e+27
Samples
14.0ms176×0valid
Compiler

Compiled 330 to 216 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (66.3% of total)
ival-sub: 1.0ms (11% of total)
ival-div: 1.0ms (11% of total)
ival-add: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.247655638839686e+44
5.211016670403891e+44
10.0ms
-2.2815143465424003e+28
-7.242065125942941e+27
Samples
14.0ms176×0valid
Compiler

Compiled 330 to 216 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57.6% of total)
ival-div: 2.0ms (23% of total)
ival-sub: 1.0ms (11.5% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.956137840230779e+75
1.8397532109108437e+78
14.0ms
-8.611075453059601e+51
-1.1070681367897798e+49
Samples
20.0ms256×0valid
Compiler

Compiled 390 to 274 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (61.9% of total)
ival-div: 2.0ms (17.7% of total)
ival-sub: 1.0ms (8.8% of total)
ival-add: 1.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.7162407895076232e-136
1.2613220531740969e-116
14.0ms
-8.611075453059601e+51
-1.1070681367897798e+49
Samples
24.0ms304×0valid
Compiler

Compiled 345 to 265 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (59.9% of total)
ival-div: 2.0ms (15% of total)
ival-sub: 1.0ms (7.5% of total)
ival-add: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
3.1722196242181514e+180
6.411786210391668e+189
13.0ms
-7.239420351940571e+138
-7.481846476942803e+136
Samples
21.0ms256×0valid
Compiler

Compiled 278 to 210 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (69.8% of total)
ival-div: 2.0ms (15.5% of total)
ival-sub: 1.0ms (7.8% of total)
ival-add: 1.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify24.0ms (0.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01071113
11561113
21801105
32011105
42141105
52211105
62231105
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y.im #s(literal -9000000000000000009230046625838093952489032098274002726230823463216416080205657041946506445895471199212081220836475439155733692547420118917750768795648 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -2426085982355713/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (if (<=.f64 y.im #s(literal 1751977197166923/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.im #s(literal 184999999999999997515429845508946580036441835243887432615462276496459859699170064612278507357565978290091091739830233987990490710016 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -230000000000000004010413626400139237207951560854403072884269625663618117544181760 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -5003766101423159/3450873173395281893717377931138512726225554486085193277581262111899648 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 6668774368961165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.im #s(literal 549999999999999956283784775941951761272854676247869389219918641665488836619199840256 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.re #s(literal -7500000000000000237095616512 binary64)) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) (if (<=.f64 y.re #s(literal 157999999999999992546147141532776622052081664 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(if (<=.f64 y.re #s(literal -9599999999999999907658203136 binary64)) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) (if (<=.f64 y.re #s(literal 124999999999999991219661128066943902491344896 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(if (<=.f64 y.im #s(literal -314999999999999992879993848230478289196161683161088 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 2049999999999999919710090848117282348153888131084773029234806138546929270784 binary64)) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -139999999999999989912490343389331290490965642444800 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 554533938824163/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -1259999999999999942221973417860917016736339628697454762084812472443838335995153583224572972244234666203394810070953541690415294445602734080 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 360000000000000020680032942626460460639867811928971240911570703196335183987757572636535502199055632515701711819925336190659279741535881430043622413332888965233639070415447229383566608564224 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(/.f64 x.im y.re)
Outputs
(if (<=.f64 y.im #s(literal -9000000000000000009230046625838093952489032098274002726230823463216416080205657041946506445895471199212081220836475439155733692547420118917750768795648 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -2426085982355713/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (if (<=.f64 y.im #s(literal 1751977197166923/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.im #s(literal 184999999999999997515429845508946580036441835243887432615462276496459859699170064612278507357565978290091091739830233987990490710016 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -9000000000000000009230046625838093952489032098274002726230823463216416080205657041946506445895471199212081220836475439155733692547420118917750768795648 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -2426085982355713/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (if (<=.f64 y.im #s(literal 1751977197166923/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re) (if (<=.f64 y.im #s(literal 184999999999999997515429845508946580036441835243887432615462276496459859699170064612278507357565978290091091739830233987990490710016 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -9000000000000000009230046625838093952489032098274002726230823463216416080205657041946506445895471199212081220836475439155733692547420118917750768795648 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -2426085982355713/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (if (<=.f64 y.im #s(literal 1751977197166923/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208 binary64)) (/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re) (if (<=.f64 y.im #s(literal 184999999999999997515429845508946580036441835243887432615462276496459859699170064612278507357565978290091091739830233987990490710016 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -230000000000000004010413626400139237207951560854403072884269625663618117544181760 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -5003766101423159/3450873173395281893717377931138512726225554486085193277581262111899648 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 6668774368961165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.im #s(literal 549999999999999956283784775941951761272854676247869389219918641665488836619199840256 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -230000000000000004010413626400139237207951560854403072884269625663618117544181760 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -5003766101423159/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 6668774368961165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re) (if (<=.f64 y.im #s(literal 549999999999999956283784775941951761272854676247869389219918641665488836619199840256 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -230000000000000004010413626400139237207951560854403072884269625663618117544181760 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -5003766101423159/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 6668774368961165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re) (if (<=.f64 y.im #s(literal 549999999999999956283784775941951761272854676247869389219918641665488836619199840256 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.re #s(literal -7500000000000000237095616512 binary64)) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) (if (<=.f64 y.re #s(literal 157999999999999992546147141532776622052081664 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(if (or (<=.f64 y.re #s(literal -7500000000000000237095616512 binary64)) (not (<=.f64 y.re #s(literal 157999999999999992546147141532776622052081664 binary64)))) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im))
(if (<=.f64 y.re #s(literal -9599999999999999907658203136 binary64)) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) (if (<=.f64 y.re #s(literal 124999999999999991219661128066943902491344896 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(if (or (<=.f64 y.re #s(literal -9599999999999999907658203136 binary64)) (not (<=.f64 y.re #s(literal 124999999999999991219661128066943902491344896 binary64)))) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im))
(if (<=.f64 y.im #s(literal -314999999999999992879993848230478289196161683161088 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 2049999999999999919710090848117282348153888131084773029234806138546929270784 binary64)) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -314999999999999992879993848230478289196161683161088 binary64)) (not (<=.f64 y.im #s(literal 2049999999999999919710090848117282348153888131084773029234806138546929270784 binary64)))) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re))
(if (or (<=.f64 y.im #s(literal -314999999999999992879993848230478289196161683161088 binary64)) (not (<=.f64 y.im #s(literal 2049999999999999919710090848117282348153888131084773029234806138546929270784 binary64)))) (/.f64 x.re (neg.f64 y.im)) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re))
(if (<=.f64 y.im #s(literal -139999999999999989912490343389331290490965642444800 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 554533938824163/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -139999999999999989912490343389331290490965642444800 binary64)) (not (<=.f64 y.im #s(literal 554533938824163/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)))) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re))
(if (or (<=.f64 y.im #s(literal -139999999999999989912490343389331290490965642444800 binary64)) (not (<=.f64 y.im #s(literal 554533938824163/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)))) (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
(if (<=.f64 y.im #s(literal -1259999999999999942221973417860917016736339628697454762084812472443838335995153583224572972244234666203394810070953541690415294445602734080 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 360000000000000020680032942626460460639867811928971240911570703196335183987757572636535502199055632515701711819925336190659279741535881430043622413332888965233639070415447229383566608564224 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(if (or (<=.f64 y.im #s(literal -1259999999999999942221973417860917016736339628697454762084812472443838335995153583224572972244234666203394810070953541690415294445602734080 binary64)) (not (<=.f64 y.im #s(literal 360000000000000020680032942626460460639867811928971240911570703196335183987757572636535502199055632515701711819925336190659279741535881430043622413332888965233639070415447229383566608564224 binary64)))) (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.im y.re)

soundness1.9s (15.9%)

Rules
1 255×fma-define
920×log1p-expm1-u
920×expm1-log1p-u
795×fmm-def
503×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106036838
1235635682
0155747713
1414845705
034381
1569330
27796330
0701024
1237992
2469992
31150992
43393992
55806992
66609992
76718992
86738992
96754992
107700992
064928744
1160526800
2627626748
025249
1385219
24624219
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1 107 to 319 computations (71.2% saved)

preprocess61.0ms (0.5%)

Compiler

Compiled 590 to 220 computations (62.7% saved)

end0.0ms (0%)

Profiling

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