_divideComplex, imaginary part

Time bar (total: 12.5s)

analyze26.0ms (0.2%)

Memory
2.2MiB live, 41.1MiB allocated
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)

sample1.1s (9.1%)

Memory
7.1MiB live, 1 382.3MiB allocated
Samples
659.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 444.0ms
ival-mult: 240.0ms (54.1% of total)
ival-add: 87.0ms (19.6% of total)
ival-div: 73.0ms (16.4% of total)
ival-sub: 35.0ms (7.9% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess275.0ms (2.2%)

Memory
-5.8MiB live, 122.2MiB allocated
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)))

explain201.0ms (1.6%)

Memory
16.4MiB live, 290.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1020-2(4.123607022463312e-6 1.6010762932184729e-307 1.113766592549212e-261 -3.504076495882135e-161)(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
30-0-(-.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/o570
(*.f64 x.re y.im)overflow36
(*.f64 x.im y.re)overflow42
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))overflow72
(*.f64 y.re y.re)overflow71
(*.f64 y.im y.im)overflow71
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))overflow121
/.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/o240
(*.f64 y.re y.re)overflow71
(*.f64 y.im y.im)overflow71
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))overflow121
/.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/n150
(*.f64 x.re y.im)overflow36
(*.f64 x.im y.re)overflow42
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))overflow72
-.f64(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))nan-rescue30
(*.f64 x.im y.re)overflow42
(*.f64 x.re y.im)overflow36
/.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/u30
(*.f64 y.re y.re)underflow56
(*.f64 y.im y.im)underflow62
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))underflow14
/.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/u10
(*.f64 x.re y.im)underflow26
(*.f64 x.im y.re)underflow31
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))underflow1
(*.f64 y.re y.re)underflow56
(*.f64 y.im y.im)underflow62
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))underflow14
Confusion
Predicted +Predicted -
+1002
-0154
Precision
1.0
Recall
0.9803921568627451
Confusion?
Predicted +Predicted MaybePredicted -
+10002
-00154
Precision?
1.0
Recall?
0.9803921568627451
Freqs
test
numberfreq
0156
197
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
44.0ms512×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 15.0ms (66.2% of total)
ival-div: 3.0ms (13.2% of total)
ival-sub: 2.0ms (8.8% of total)
ival-add: 2.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Compiler

Compiled 32 to 16 computations (50% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.5%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify94.0ms (0.8%)

Memory
-10.8MiB live, 32.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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
679×fma-define
515×fmm-def
318×times-frac
120×div-sub
109×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018189
133189
259189
396189
4168189
5295189
6536189
7887189
81618189
92678189
103170189
113222189
123282189
133282189
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)
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 (fma.f64 x.im y.re (neg.f64 (*.f64 x.re y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(fma.f64 x.im y.re (neg.f64 (*.f64 x.re y.im)))
(*.f64 x.im y.re)
x.im
y.re
(*.f64 x.re y.im)
x.re
y.im
(+.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)

localize33.0ms (0.3%)

Memory
-8.2MiB live, 69.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.im y.re)
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
accuracy98.9%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
accuracy61.9%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Samples
21.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (64.2% of total)
ival-div: 2.0ms (18.3% of total)
ival-sub: 1.0ms (9.2% of total)
ival-add: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
16.1MiB live, 54.6MiB allocated
Counts
7 → 138
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 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>
#<alt (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))>
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)))))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
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#<alt (/.f64 x.im y.re)>
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#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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#<alt (/.f64 x.im y.re)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 x.im y.re)>
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#<alt (*.f64 x.im y.re)>
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#<alt (*.f64 x.im y.re)>
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#<alt (*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 x.im y.re)>
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#<alt (*.f64 x.im y.re)>
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#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
Calls

48 calls:

TimeVariablePointExpression
4.0ms
y.im
@inf
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.im
@0
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
y.re
@0
(* y.re y.re)
1.0ms
x.re
@0
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.re
@-inf
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite641.0ms (5.1%)

Memory
6.8MiB live, 340.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
942×log1p-expm1-u
942×expm1-log1p-u
621×fma-define
307×fmm-def
120×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018161
1268151
23887151
Stop Event
node limit
Counts
7 → 323
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 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
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 y.re) x.im))
(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 (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))
(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))
(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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (*.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 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (/.f64 (sqrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (*.f64 (sqrt.f64 (-.f64 (*.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 (neg.f64 (-.f64 (*.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))) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.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 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (*.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 (-.f64 (*.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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (*.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)))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
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(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))
(*.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))

simplify525.0ms (4.2%)

Memory
-6.6MiB live, 388.1MiB allocated
Algorithm
egg-herbie
Rules
766×fmm-def
281×associate-*r*
268×fma-define
263×associate-*l*
256×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076524434
1191320630
2633520610
Stop Event
node limit
Counts
461 → 513
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)))))
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(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(/.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))
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(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
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(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
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(*.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)
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(fma.f64 (fma.f64 (sqrt.f64 y.re) (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re y.im))) (-.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.re y.im))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(fma.f64 (fma.f64 (sqrt.f64 y.re) (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re y.im))) (-.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.re y.im))) (*.f64 (fma.f64 x.re (neg.f64 y.im) (*.f64 x.re y.im)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 y.re) (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re y.im))) (-.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.re y.im))) (+.f64 (fma.f64 x.re (neg.f64 y.im) (*.f64 x.re y.im)) (fma.f64 x.re (neg.f64 y.im) (*.f64 x.re y.im))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re y.im)) (*.f64 x.im y.re))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (*.f64 x.re (neg.f64 y.im)))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (*.f64 (*.f64 x.re (neg.f64 y.im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (fma.f64 x.re (neg.f64 y.im) (fma.f64 x.re (neg.f64 y.im) (*.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 x.re (neg.f64 y.im) (*.f64 x.re y.im)))))
(fma.f64 (*.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re) (*.f64 x.re (neg.f64 y.im)))
(fma.f64 (*.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re) (*.f64 (*.f64 x.re (neg.f64 y.im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re) (fma.f64 x.re (neg.f64 y.im) (fma.f64 x.re (neg.f64 y.im) (*.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 x.re (neg.f64 y.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) (*.f64 x.re (neg.f64 y.im)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 (*.f64 x.re (neg.f64 y.im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (fma.f64 x.re (neg.f64 y.im) (fma.f64 x.re (neg.f64 y.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 x.re (neg.f64 y.im) (*.f64 x.re y.im)))))
(fma.f64 (*.f64 y.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re (neg.f64 y.im)))
(fma.f64 (*.f64 y.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 (*.f64 x.re (neg.f64 y.im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (fma.f64 x.re (neg.f64 y.im) (fma.f64 x.re (neg.f64 y.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 x.re (neg.f64 y.im) (*.f64 x.re y.im)))))
(fma.f64 (*.f64 (neg.f64 x.re) #s(literal 1 binary64)) y.im (*.f64 x.im y.re))
(fma.f64 (*.f64 (neg.f64 x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (*.f64 x.im y.re))
(fma.f64 (*.f64 (neg.f64 x.re) (sqrt.f64 y.im)) (sqrt.f64 y.im) (*.f64 x.im y.re))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))
(*.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
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)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 y.im x.re) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (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 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (*.f64 y.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 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.im))) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 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 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.im))) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 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 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.im))) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 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 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 #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))))))))
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eval120.0ms (1%)

Memory
-5.8MiB live, 112.8MiB allocated
Compiler

Compiled 12 081 to 1 616 computations (86.6% saved)

prune115.0ms (0.9%)

Memory
-3.6MiB live, 192.3MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New50013513
Fresh000
Picked011
Done000
Total50014514
Accuracy
100.0%
Counts
514 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
61.5%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
56.7%
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
61.4%
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
49.8%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
57.1%
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
38.9%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
43.2%
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.4%
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
43.8%
(/.f64 (neg.f64 x.re) y.im)
45.5%
(/.f64 x.im y.re)
51.7%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
79.6%
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
72.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
Compiler

Compiled 447 to 271 computations (39.4% saved)

simplify574.0ms (4.6%)

Memory
34.0MiB live, 111.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
cost-diff0
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
cost-diff0
(/.f64 x.im y.re)
cost-diff6464
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
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 x.im y.im)
cost-diff0
(*.f64 y.re (/.f64 x.im y.im))
cost-diff0
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
cost-diff0
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
cost-diff0
(/.f64 x.im y.re)
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
cost-diff13312
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
Rules
1 757×fma-define
617×fmm-def
385×distribute-lft-neg-in
314×unsub-neg
302×div-sub
Iterations

Useful iterations: 16 (0.0ms)

IterNodesCost
037731
187719
2176695
3399695
4831695
51638695
62939677
74705677
86018677
96204677
106227677
116227677
127073677
137133677
147133677
157133677
167133665
177177665
187219665
197229665
207229665
217229665
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
x.im
(/.f64 y.re (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 y.im 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 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(*.f64 y.re (/.f64 x.im y.im))
y.re
(/.f64 x.im y.im)
x.im
y.im
x.re
(/.f64 (+.f64 (*.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 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 x.im y.re)
x.im
y.re
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
y.im
(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
x.re
(pow.f64 y.re #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (-.f64 (*.f64 y.im x.re) (*.f64 y.re x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
(/.f64 (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
(*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))
x.im
(/.f64 y.re (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 y.im 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 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(*.f64 y.re (/.f64 x.im y.im))
y.re
(/.f64 x.im y.im)
x.im
y.im
x.re
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) 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))
(-.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 y.re (/.f64 x.im y.im))
(*.f64 x.im y.re)
(*.f64 y.re x.im)
x.im
y.re
y.im
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (neg.f64 y.im) (/.f64 x.im y.re))
(fma.f64 y.im (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 x.im y.re)
x.im
y.re
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
y.im
(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
x.re
(pow.f64 y.re #s(literal 2 binary64))
#s(literal 2 binary64)

localize234.0ms (1.9%)

Memory
-13.4MiB live, 260.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x.im y.re)
accuracy98.0%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
accuracy92.1%
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
accuracy87.2%
(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x.im y.re)
accuracy100.0%
(*.f64 #s(literal -1 binary64) x.re)
accuracy98.1%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
accuracy91.4%
(/.f64 (*.f64 x.im y.re) y.im)
accuracy100.0%
(/.f64 x.im y.im)
accuracy100.0%
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
accuracy98.1%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
accuracy92.9%
(*.f64 y.re (/.f64 x.im y.im))
accuracy100.0%
(/.f64 x.im y.re)
accuracy99.3%
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
accuracy98.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
accuracy97.7%
(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
accuracy76.1%
(/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
Samples
64.0ms256×0valid
Compiler

Compiled 184 to 32 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 18.0ms (42.2% of total)
ival-mult: 11.0ms (25.8% of total)
ival-hypot: 5.0ms (11.7% of total)
ival-pow2: 4.0ms (9.4% of total)
ival-sub: 3.0ms (7% of total)
ival-add: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series170.0ms (1.4%)

Memory
-10.2MiB live, 225.1MiB allocated
Counts
18 → 498
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))>
#<alt (hypot.f64 y.re y.im)>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)>
#<alt (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)>
#<alt (*.f64 y.re (/.f64 x.im y.im))>
#<alt (/.f64 x.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 #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 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))>
#<alt (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))>
#<alt (-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (-.f64 (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
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#<alt (+.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) 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))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) 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)))))))>
#<alt x.im>
#<alt (+.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)))))>
#<alt (+.f64 x.im (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))))))>
#<alt (+.f64 x.im (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64)))))))))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re))) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))))) (pow.f64 y.im #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))))) (pow.f64 y.im #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)))) y.im))>
Calls

159 calls:

TimeVariablePointExpression
66.0ms
x.re
@inf
(/ x.re (pow y.re 2))
13.0ms
y.re
@inf
(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms
y.im
@0
(/ (* y.im x.re) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2))
6.0ms
x.im
@0
(* x.im (/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))
3.0ms
y.im
@0
(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite191.0ms (1.5%)

Memory
6.1MiB live, 317.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
280×log1p-expm1-u
280×expm1-log1p-u
272×add-cube-cbrt
271×add-exp-log
271×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037553
1677509
Stop Event
node limit
Counts
18 → 566
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(hypot.f64 y.re y.im)
(/.f64 x.im y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(*.f64 y.re (/.f64 x.im y.im))
(/.f64 x.im y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
(*.f64 #s(literal -1 binary64) x.re)
(/.f64 (*.f64 x.im y.re) y.im)
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
Outputs
(+.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(+.f64 (-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im))) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) y.im))) (fma.f64 (neg.f64 (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) y.im (*.f64 (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) y.im)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (*.f64 y.im x.re)))) (fma.f64 (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 y.im x.re) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (*.f64 y.im x.re))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) y.im))) (fma.f64 (neg.f64 (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) y.im (*.f64 (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) y.im)))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (*.f64 y.im x.re)))) (fma.f64 (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 y.im x.re) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (*.f64 y.im x.re))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))))))
(+.f64 (fma.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) y.im))) (fma.f64 (neg.f64 (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) y.im (*.f64 (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) y.im)))
(+.f64 (fma.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (*.f64 y.im x.re)))) (fma.f64 (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 y.im x.re) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (*.f64 y.im x.re))))
(+.f64 (fma.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 y.im (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(pow.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 y.im x.re)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 y.re x.im)))
(/.f64 x.im (/.f64 (hypot.f64 y.re y.im) y.re))
(/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))
(/.f64 (neg.f64 (*.f64 y.re x.im)) (neg.f64 (hypot.f64 y.re y.im)))
(pow.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y.re 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 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))

simplify1.0s (8.1%)

Memory
-84.1MiB live, 672.6MiB allocated
Algorithm
egg-herbie
Rules
915×times-frac
390×*-commutative
249×neg-sub0
234×fmm-def
232×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0169056634
1472554888
Stop Event
node limit
Counts
1 064 → 1 016
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(-.f64 (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 x.im y.re)
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(pow.f64 (/.f64 (sqrt.f64 x.re) y.re) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 y.re #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 y.re #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 y.re #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 y.re #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 y.re #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 y.re #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im x.re) (hypot.f64 y.re y.im)))
(*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(*.f64 (neg.f64 (*.f64 y.im x.re)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 y.im #s(literal 1 binary64)) (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (/.f64 x.re #s(literal 1 binary64)) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 y.im (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(pow.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 y.im x.re)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 y.re x.im)))
(/.f64 x.im (/.f64 (hypot.f64 y.re y.im) y.re))
(/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))
(/.f64 (neg.f64 (*.f64 y.re x.im)) (neg.f64 (hypot.f64 y.re y.im)))
(pow.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y.re 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 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(fma.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 (neg.f64 x.re) y.im))
(-.f64 (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (neg.f64 x.re) y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (neg.f64 x.re) y.im))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (+.f64 x.im (-.f64 (neg.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 (-.f64 (-.f64 x.im (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 x.re (/.f64 y.im y.re)) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (-.f64 (neg.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (neg.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (*.f64 x.re y.im)) y.re))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)))) y.re) (*.f64 x.re y.im)) y.re))) y.re)
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (neg.f64 (/.f64 (*.f64 y.im x.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (/.f64 (neg.f64 (*.f64 y.im x.im)) (pow.f64 y.re #s(literal 3 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (neg.f64 x.re) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (+.f64 (*.f64 x.im (/.f64 y.re y.im)) (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) x.re)) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(/.f64 (-.f64 (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 (*.f64 x.re (/.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)))) x.re) y.im)
(/.f64 (-.f64 (-.f64 (+.f64 (*.f64 x.re (/.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))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(/.f64 (neg.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)) x.re) y.im))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x.im y.re (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im) x.re)) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im) (*.f64 x.im y.re)) y.im)) x.re) y.im))
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(/.f64 (neg.f64 (*.f64 y.re x.im)) (neg.f64 (hypot.f64 y.re y.im)))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))
(pow.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))
(pow.f64 (pow.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re))))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re (hypot.f64 y.re y.im))))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re (hypot.f64 y.im y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)))))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 y.re (hypot.f64 y.im y.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 y.re (hypot.f64 y.im y.re)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))))
(expm1.f64 (log1p.f64 (*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))
(exp.f64 (log.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.re)
(*.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))

eval438.0ms (3.5%)

Memory
11.0MiB live, 360.7MiB allocated
Compiler

Compiled 32 034 to 4 370 computations (86.4% saved)

prune793.0ms (6.3%)

Memory
-36.7MiB live, 451.6MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1 187101 197
Fresh178
Picked415
Done011
Total1 192191 211
Accuracy
100.0%
Counts
1 211 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
41.6%
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) x.re) y.im)
52.5%
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
52.4%
(/.f64 (-.f64 (*.f64 y.re (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))) x.re) y.im)
61.5%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
56.7%
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
57.1%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
61.4%
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
49.8%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 (*.f64 y.re x.im) (/.f64 #s(literal 1 binary64) y.im))) y.im)
38.9%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
43.2%
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.4%
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
23.3%
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
43.8%
(/.f64 (neg.f64 x.re) y.im)
45.5%
(/.f64 x.im y.re)
45.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
22.2%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
53.3%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
72.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
Compiler

Compiled 548 to 346 computations (36.9% saved)

simplify209.0ms (1.7%)

Memory
32.8MiB live, 72.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y.re y.im)
cost-diff0
(fma.f64 x.im (/.f64 y.re y.im) x.re)
cost-diff0
(/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
cost-diff0
(*.f64 y.im y.im)
cost-diff0
(*.f64 y.re y.re)
cost-diff0
(neg.f64 x.re)
cost-diff0
(*.f64 y.im (neg.f64 x.re))
cost-diff0
(/.f64 y.im y.re)
cost-diff0
(*.f64 x.re (/.f64 y.im y.re))
cost-diff0
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
cost-diff0
(/.f64 (-.f64 x.im (*.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 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
cost-diff6528
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
Rules
1 654×fma-define
695×fmm-def
459×div-sub
417×times-frac
397×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036657
181651
2165645
3447641
41155641
52379641
63913641
74966641
86329641
96893641
107088641
117123641
127797641
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(*.f64 x.im y.re)
x.im
(*.f64 x.re y.im)
x.re
(/.f64 (neg.f64 x.re) y.im)
(neg.f64 x.re)
x.re
y.im
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
x.im
(*.f64 x.re (/.f64 y.im y.re))
x.re
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.im (neg.f64 x.re))
y.im
(neg.f64 x.re)
x.re
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
y.re
(*.f64 y.im y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
#s(literal 1 binary64)
(/.f64 y.im (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)
y.re
x.re
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (hypot.f64 y.re y.im))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
(*.f64 x.im y.re)
(*.f64 y.re x.im)
x.im
(*.f64 x.re y.im)
(*.f64 y.im x.re)
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 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.re (/.f64 (neg.f64 y.im) y.re) x.im) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 (neg.f64 y.im) y.re) x.im)
(-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
x.im
(*.f64 x.re (/.f64 y.im y.re))
(*.f64 y.im (/.f64 x.re y.re))
(/.f64 (*.f64 y.im x.re) y.re)
x.re
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (neg.f64 (*.f64 y.im x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 y.im (/.f64 (neg.f64 x.re) (fma.f64 y.re y.re (*.f64 y.im y.im))))
(*.f64 y.im (neg.f64 x.re))
(neg.f64 (*.f64 y.im x.re))
(*.f64 x.re (neg.f64 y.im))
y.im
(neg.f64 x.re)
x.re
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(*.f64 y.re y.re)
y.re
(*.f64 y.im y.im)
(/.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 (fma.f64 y.re (/.f64 x.im y.im) x.re) y.im)
#s(literal 1 binary64)
(/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))
(/.f64 y.im (fma.f64 y.re (/.f64 x.im y.im) x.re))
y.im
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(fma.f64 y.re (/.f64 x.im y.im) x.re)
x.im
(/.f64 y.re y.im)
y.re
x.re

localize194.0ms (1.5%)

Memory
-14.3MiB live, 182.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y.re y.im)
accuracy98.4%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
accuracy97.8%
(/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))
accuracy94.1%
(fma.f64 x.im (/.f64 y.re y.im) x.re)
accuracy100.0%
(*.f64 y.im y.im)
accuracy100.0%
(neg.f64 x.re)
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
accuracy76.0%
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
accuracy100.0%
(/.f64 y.im y.re)
accuracy100.0%
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
accuracy98.1%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
accuracy90.9%
(*.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 #s(literal 1 binary64) (hypot.f64 y.re y.im))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
accuracy98.9%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
accuracy73.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
Samples
110.0ms256×0valid
Compiler

Compiled 158 to 30 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 66.0ms (72.4% of total)
ival-div: 15.0ms (16.5% of total)
ival-hypot: 5.0ms (5.5% of total)
ival-add: 2.0ms (2.2% of total)
ival-sub: 2.0ms (2.2% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series102.0ms (0.8%)

Memory
17.7MiB live, 96.9MiB allocated
Counts
14 → 468
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))>
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))>
#<alt (/.f64 (neg.f64 x.re) y.im)>
#<alt (neg.f64 x.re)>
#<alt (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)>
#<alt (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))>
#<alt (*.f64 x.re (/.f64 y.im y.re))>
#<alt (/.f64 y.im y.re)>
#<alt (*.f64 y.im (neg.f64 x.re))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))>
#<alt (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))>
#<alt (fma.f64 x.im (/.f64 y.re y.im) x.re)>
#<alt (/.f64 y.re y.im)>
#<alt (/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im 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))))))>
#<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)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))>
Calls

129 calls:

TimeVariablePointExpression
46.0ms
y.re
@0
(/ y.im (+ (* x.im (/ y.re y.im)) x.re))
3.0ms
x.re
@0
(/ (neg x.re) y.im)
1.0ms
x.re
@-inf
(* y.im (neg x.re))
1.0ms
y.re
@inf
(/ y.im (+ (* x.im (/ y.re y.im)) x.re))
1.0ms
y.im
@0
(/ y.im (+ (* x.im (/ y.re y.im)) x.re))

rewrite136.0ms (1.1%)

Memory
-16.4MiB live, 214.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
286×log1p-expm1-u
286×expm1-log1p-u
281×add-cube-cbrt
280×add-exp-log
280×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036421
1635381
Stop Event
node limit
Counts
14 → 397
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(neg.f64 x.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 y.im y.re)
(*.f64 y.im (neg.f64 x.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(/.f64 y.re y.im)
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 (/.f64 (*.f64 y.im x.re) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.im (*.f64 y.im x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))))
(/.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 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(/.f64 (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 y.re x.im (*.f64 y.im x.re))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) #s(literal -1 binary64)) (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 y.re x.im (*.f64 y.im x.re)))) (neg.f64 (hypot.f64 y.re y.im)))
(pow.f64 (*.f64 (fma.f64 y.re x.im (*.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 (fma.f64 y.re x.im (*.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 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 y.re x.im (*.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 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 y.im x.re) (hypot.f64 y.re y.im))))
(-.f64 (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im x.re) (hypot.f64 y.re y.im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(*.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))))
(*.f64 (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))) (cbrt.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.im (*.f64 y.im x.re))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y.re x.im (*.f64 y.im x.re)) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re y.im))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y.im) (/.f64 x.re y.im))
(*.f64 #s(literal 1 binary64) (/.f64 x.re y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (sqrt.f64 (/.f64 x.re y.im)) (sqrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) y.im))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 y.im)))
(pow.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im x.re) #s(literal -1 binary64))
(neg.f64 (/.f64 x.re y.im))
(sqrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 x.re y.im)))
(exp.f64 (log.f64 (/.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re y.im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x.re)
(-.f64 #s(literal 0 binary64) x.re)
(-.f64 (exp.f64 (log1p.f64 x.re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re))
(*.f64 (sqrt.f64 x.re) (sqrt.f64 x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x.re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.re)
(pow.f64 x.re #s(literal 1 binary64))
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(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 y.im x.re)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify532.0ms (4.2%)

Memory
9.4MiB live, 533.3MiB allocated
Algorithm
egg-herbie
Rules
839×fma-define
432×distribute-lft-in
398×*-commutative
229×mul-1-neg
220×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0153240352
1431438577
Stop Event
node limit
Counts
865 → 960
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 #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 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 (*.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) (*.f64 (*.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 (*.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 x.im y.im))))
x.im
(+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))))))
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(*.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)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (sqrt.f64 y.im)) (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (sqrt.f64 y.im)))
(pow.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal -1 binary64))
(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 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)) #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 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (log.f64 y.im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 y.im (/.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 1 binary64))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (sqrt.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))) (sqrt.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)))) (/.f64 y.im (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))) (/.f64 y.im (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))) (/.f64 (cbrt.f64 y.im) (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(*.f64 (/.f64 (sqrt.f64 y.im) (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(pow.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 1 binary64))
(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 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))))
(cbrt.f64 (pow.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(log1p.f64 (expm1.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(exp.f64 (log.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (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))) (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 (+.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 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im))) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
(pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64))
(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 y.re y.im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y.re y.im))
(*.f64 y.re (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (sqrt.f64 (/.f64 y.re y.im)) (sqrt.f64 (/.f64 y.re y.im)))
(*.f64 (neg.f64 y.re) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 y.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) y.im))
(*.f64 (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 y.im)))
(pow.f64 (/.f64 y.im y.re) #s(literal -1 binary64))
(pow.f64 (/.f64 y.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 y.re y.im)))
(exp.f64 (log.f64 (/.f64 y.re y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im x.re) (hypot.f64 y.re y.im)))
(*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (*.f64 y.im x.re) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.re) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 y.im #s(literal 1 binary64)) (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 y.im (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 x.re (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 x.re #s(literal 1 binary64)) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 y.im x.re)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64)))
Outputs
(*.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)))))
(fma.f64 x.im (/.f64 y.re (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 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)))))))
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(/.f64 (neg.f64 y.re) (neg.f64 y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 y.im)))
(/.f64 (/.f64 y.re (cbrt.f64 y.im)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 y.re (sqrt.f64 y.im)))
(/.f64 (/.f64 y.re (sqrt.f64 y.im)) (sqrt.f64 y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) y.im))
(/.f64 y.re y.im)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re y.im)))
(*.f64 (cbrt.f64 (/.f64 y.re y.im)) (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 y.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) y.im))
(/.f64 y.re y.im)
(*.f64 (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 y.im)))
(/.f64 (*.f64 (sqrt.f64 y.re) (/.f64 (sqrt.f64 y.re) (cbrt.f64 y.im))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(pow.f64 (/.f64 y.im y.re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.im y.re))
(pow.f64 (/.f64 y.re y.im) #s(literal 1 binary64))
(/.f64 y.re y.im)
(pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 3 binary64))
(/.f64 y.re y.im)
(pow.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y.re y.im)
(pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal 2 binary64))
(/.f64 y.re y.im)
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y.re y.im))
(log.f64 (exp.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re y.im))))
(/.f64 y.re y.im)
(cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))
(/.f64 y.re y.im)
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(/.f64 y.re y.im)
(expm1.f64 (log1p.f64 (/.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(exp.f64 (log.f64 (/.f64 y.re y.im)))
(/.f64 y.re y.im)
(exp.f64 (*.f64 (log.f64 (/.f64 y.re y.im)) #s(literal 1 binary64)))
(/.f64 y.re y.im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im x.re) (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(*.f64 (*.f64 y.im x.re) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.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 (cbrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.re) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 y.im (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 (/.f64 y.im (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 y.im #s(literal 1 binary64)) (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 y.im (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 (/.f64 y.im (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 x.re (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 x.re (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 x.re #s(literal 1 binary64)) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 y.im x.re)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(sqrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))

eval373.0ms (3%)

Memory
-1.8MiB live, 305.7MiB allocated
Compiler

Compiled 32 887 to 5 318 computations (83.8% saved)

prune482.0ms (3.8%)

Memory
31.0MiB live, 467.7MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New1 50481 512
Fresh5712
Picked235
Done022
Total1 511201 531
Accuracy
100.0%
Counts
1 531 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.1%
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
21.6%
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
52.5%
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
61.5%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
56.1%
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
57.1%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
61.4%
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
24.1%
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
43.2%
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.4%
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
23.3%
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
43.8%
(/.f64 (neg.f64 x.re) y.im)
13.0%
(/.f64 x.re y.im)
45.5%
(/.f64 x.im y.re)
45.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
23.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im (/.f64 y.re y.im))))
53.3%
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
46.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)))
23.2%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
43.7%
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
Compiler

Compiled 495 to 316 computations (36.2% saved)

simplify82.0ms (0.7%)

Memory
-44.7MiB live, 11.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y.re (*.f64 y.im x.re))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))
cost-diff128
(-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re))))
cost-diff128
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
cost-diff0
(neg.f64 x.re)
cost-diff0
(*.f64 y.im (neg.f64 x.re))
cost-diff0
(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
cost-diff0
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
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)) y.im)
cost-diff0
(/.f64 x.re y.im)
cost-diff0
(*.f64 y.re x.im)
cost-diff640
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))))
cost-diff6720
(fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))
cost-diff6848
(*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))
Rules
956×fma-define
428×div-sub
307×distribute-lft-out
250×associate-*r/
244×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038789
182752
2184699
3551573
41725573
54848573
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))))
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
(*.f64 y.re x.im)
y.re
x.im
(*.f64 y.im x.re)
y.im
x.re
(*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))
#s(literal 2 binary64)
(fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))
(neg.f64 y.im)
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
(/.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 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
(*.f64 y.im (neg.f64 x.re))
y.im
(neg.f64 x.re)
x.re
y.re
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
(-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re))))
x.im
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))
#s(literal 1 binary64)
(/.f64 y.re (*.f64 y.im x.re))
y.re
(*.f64 y.im x.re)
y.im
x.re
Outputs
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 (neg.f64 y.im) y.im)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.re x.im) (fma.f64 y.im x.re (*.f64 x.re (*.f64 (*.f64 #s(literal 0 binary64) y.im) #s(literal 2 binary64))))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 y.re x.im (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))))
(fma.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 (neg.f64 y.im) y.im)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
(-.f64 (*.f64 y.re x.im) (fma.f64 y.im x.re (*.f64 x.re (*.f64 (*.f64 #s(literal 0 binary64) y.im) #s(literal 2 binary64)))))
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
(fma.f64 y.re x.im (*.f64 x.re (neg.f64 y.im)))
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))))
(fma.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 (neg.f64 y.im) y.im)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
(-.f64 (*.f64 y.re x.im) (fma.f64 y.im x.re (*.f64 x.re (*.f64 (*.f64 #s(literal 0 binary64) y.im) #s(literal 2 binary64)))))
(fma.f64 y.re x.im (*.f64 x.re (neg.f64 y.im)))
(*.f64 y.re x.im)
y.re
x.im
(*.f64 y.im x.re)
y.im
x.re
(*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 (neg.f64 y.im) y.im)))
(*.f64 x.re (*.f64 (*.f64 #s(literal 0 binary64) y.im) #s(literal 2 binary64)))
#s(literal 0 binary64)
#s(literal 2 binary64)
(fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))
(*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 (neg.f64 y.im) y.im)))
(*.f64 x.re (*.f64 (*.f64 #s(literal 0 binary64) y.im) #s(literal 2 binary64)))
#s(literal 0 binary64)
(neg.f64 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 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 (*.f64 y.im y.im)))
(*.f64 y.re (/.f64 (/.f64 x.im y.im) y.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.im y.im))
(*.f64 y.re (/.f64 x.im (*.f64 y.im y.im)))
(*.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
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 (neg.f64 (*.f64 y.im x.re)) (*.f64 y.re y.re))
(*.f64 y.im (/.f64 (neg.f64 x.re) (*.f64 y.re y.re)))
(*.f64 y.im (neg.f64 (/.f64 (/.f64 x.re y.re) y.re)))
(*.f64 x.re (neg.f64 (/.f64 (/.f64 y.im y.re) y.re)))
(*.f64 (neg.f64 x.re) (/.f64 (/.f64 y.im y.re) y.re))
(*.f64 y.im (/.f64 x.re (*.f64 y.re (neg.f64 y.re))))
(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
(/.f64 (neg.f64 (*.f64 y.im x.re)) y.re)
(*.f64 y.im (neg.f64 (/.f64 x.re y.re)))
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
(*.f64 y.im (/.f64 (neg.f64 x.re) y.re))
(*.f64 y.im (neg.f64 x.re))
(neg.f64 (*.f64 y.im x.re))
(*.f64 x.re (neg.f64 y.im))
y.im
(neg.f64 x.re)
x.re
y.re
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
(/.f64 (-.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 y.im x.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 (*.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (fma.f64 (neg.f64 x.re) (/.f64 y.im y.re) x.im) y.re)
(/.f64 (fma.f64 y.im (/.f64 (neg.f64 x.re) y.re) x.im) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re))))
(-.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 y.im x.re)))
(-.f64 x.im (*.f64 (*.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re)))
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
(fma.f64 (neg.f64 x.re) (/.f64 y.im y.re) x.im)
(fma.f64 y.im (/.f64 (neg.f64 x.re) y.re) x.im)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
x.im
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 y.im x.re))
(*.f64 (*.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 y.im (/.f64 x.re y.re))
(*.f64 x.re (/.f64 y.im y.re))
#s(literal 1 binary64)
(/.f64 y.re (*.f64 y.im x.re))
y.re
(*.f64 y.im x.re)
y.im
x.re

localize241.0ms (1.9%)

Memory
2.6MiB live, 160.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y.im x.re)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))
accuracy98.1%
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
accuracy93.5%
(/.f64 y.re (*.f64 y.im x.re))
accuracy100.0%
(*.f64 y.im (neg.f64 x.re))
accuracy100.0%
(neg.f64 x.re)
accuracy98.1%
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
accuracy93.5%
(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
accuracy100.0%
(/.f64 y.re y.im)
accuracy96.5%
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
accuracy92.5%
(*.f64 x.im (/.f64 y.re y.im))
accuracy100.0%
(/.f64 x.re y.im)
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
accuracy98.9%
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
accuracy61.9%
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
accuracy15.6%
(fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))
Samples
108.0ms223×1valid
29.0ms33×0valid
Compiler

Compiled 179 to 32 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-div: 34.0ms (47.1% of total)
ival-mult: 19.0ms (26.3% of total)
adjust: 6.0ms (8.3% of total)
ival-add: 6.0ms (8.3% of total)
ival-sub: 4.0ms (5.5% of total)
ival-neg: 3.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series86.0ms (0.7%)

Memory
1.9MiB live, 80.0MiB allocated
Counts
16 → 552
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))>
#<alt (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))>
#<alt (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))))>
#<alt (*.f64 y.re x.im)>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)>
#<alt (*.f64 x.im (/.f64 y.re y.im))>
#<alt (/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)>
#<alt (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)>
#<alt (/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)>
#<alt (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))>
#<alt (/.f64 y.re (*.f64 y.im x.re))>
#<alt (/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))>
#<alt (*.f64 y.im x.re)>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im)))>
#<alt (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im)))>
#<alt (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im)))>
#<alt (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im)))>
#<alt (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im)))>
#<alt (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im)))>
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#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) 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 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) 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 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))) (*.f64 #s(literal -1 binary64) 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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) 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 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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) 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 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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) 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 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 y.im))>
#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>
#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>
#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>
#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>
#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) x.re) y.im))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) x.re) y.im))>
#<alt (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) x.re) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)) (*.f64 #s(literal -1 binary64) y.im))))>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
Calls

144 calls:

TimeVariablePointExpression
39.0ms
y.re
@inf
(/ (- x.im (/ 1 (/ y.re (* y.im x.re)))) y.re)
1.0ms
x.im
@inf
(/ (+ (- (* y.re x.im) (* y.im x.re)) (* 2 (+ (* x.re (neg y.im)) (* y.im x.re)))) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.re
@-inf
(/ (+ (- (* y.re x.im) (* y.im x.re)) (* 2 (+ (* x.re (neg y.im)) (* y.im x.re)))) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.im
@-inf
(/ (+ (- (* y.re x.im) (* y.im x.re)) (* 2 (+ (* x.re (neg y.im)) (* y.im x.re)))) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
y.re
@0
(/ (+ (- (* y.re x.im) (* y.im x.re)) (* 2 (+ (* x.re (neg y.im)) (* y.im x.re)))) (+ (* y.re y.re) (* y.im y.im)))

rewrite368.0ms (2.9%)

Memory
15.9MiB live, 173.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
303×log1p-expm1-u
303×expm1-log1p-u
299×add-cube-cbrt
297×add-exp-log
297×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038555
1664490
Stop Event
node limit
Counts
16 → 471
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))
(fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re))))
(*.f64 y.re x.im)
(/.f64 x.re y.im)
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(*.f64 x.im (/.f64 y.re y.im))
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
(-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))
(/.f64 y.re (*.f64 y.im x.re))
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
(*.f64 y.im x.re)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 x.re y.im (*.f64 x.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im))))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re y.im) (*.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re y.im (*.f64 x.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))))
(pow.f64 (fma.f64 x.re y.im (*.f64 x.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re y.im (*.f64 x.re y.im)))))
(cbrt.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))))
(exp.f64 (log.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re y.im (*.f64 x.re y.im))) #s(literal 1 binary64)))
(-.f64 (*.f64 y.re x.im) (-.f64 (*.f64 x.re y.im) (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 2 binary64)) (-.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im))) #s(literal 2 binary64)) (-.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 3 binary64)) (*.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im))) #s(literal 2 binary64)) (*.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)))))))
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(+.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(+.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.re y.im))) (sqrt.f64 (*.f64 x.re y.im)) (*.f64 x.re y.im)))
(+.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x.im y.re (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 x.im y.re (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y.re x.im) (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y.re x.im) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re x.im)) (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re x.im)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 y.re x.im)) (sqrt.f64 (*.f64 y.re x.im)) (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 y.re x.im)) (sqrt.f64 (*.f64 y.re x.im)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(*.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)))))
(cbrt.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(exp.f64 (log.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 1 binary64)))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 #s(literal 1 binary64) (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re x.im)) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(fma.f64 (sqrt.f64 (*.f64 y.re x.im)) (sqrt.f64 (*.f64 y.re x.im)) (*.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 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 x.re y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))

simplify982.0ms (7.8%)

Memory
1.9MiB live, 637.3MiB allocated
Algorithm
egg-herbie
Rules
665×associate-*r*
539×fma-define
367×times-frac
330×cancel-sign-sub-inv
281×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0126341068
1326534753
Stop Event
node limit
Counts
1 023 → 796
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
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(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.re y.im))) (*.f64 x.im y.re)) (*.f64 x.re y.im))
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(*.f64 x.im y.re)
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(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.re y.im))) (*.f64 x.im y.re)) (*.f64 x.re y.im))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.re y.im))) (*.f64 x.im y.re)) (*.f64 x.re y.im))
(*.f64 x.im y.re)
(*.f64 x.im (-.f64 (+.f64 y.re (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.re y.im)) x.im))) (/.f64 (*.f64 x.re y.im) x.im)))
(*.f64 x.im (-.f64 (+.f64 y.re (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.re y.im)) x.im))) (/.f64 (*.f64 x.re y.im) x.im)))
(*.f64 x.im (-.f64 (+.f64 y.re (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.re y.im)) x.im))) (/.f64 (*.f64 x.re y.im) x.im)))
(*.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.re y.im))) (*.f64 x.re y.im)) x.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.re y.im))) (*.f64 x.re y.im)) x.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.re y.im))) (*.f64 x.re y.im)) x.im)))))
(*.f64 x.im y.re)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) #s(literal 2 binary64)) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x.re y.im (*.f64 x.re y.im)) (fma.f64 y.re x.im (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(+.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(+.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(+.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.re y.im))) (sqrt.f64 (*.f64 x.re y.im)) (*.f64 x.re y.im)))
(+.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x.im y.re (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 x.im y.re (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y.re x.im) (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y.re x.im) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re x.im)) (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re x.im)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 y.re x.im)) (sqrt.f64 (*.f64 y.re x.im)) (neg.f64 (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 (*.f64 x.re y.im) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 y.re x.im)) (sqrt.f64 (*.f64 y.re x.im)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(*.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)))))
(cbrt.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(exp.f64 (log.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 1 binary64)))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 #s(literal 1 binary64) (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re x.im)) (*.f64 x.re y.im))
(fma.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(fma.f64 (sqrt.f64 (*.f64 y.re x.im)) (sqrt.f64 (*.f64 y.re x.im)) (*.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 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 x.re y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) y.im))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)))
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
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(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im)) (*.f64 x.im y.re)) (*.f64 x.re y.im))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(*.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(*.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.re y.im) (fma.f64 x.re y.im (*.f64 x.im y.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (fma.f64 x.re y.im (*.f64 x.im y.re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.re y.im) (fma.f64 x.re y.im (*.f64 x.im y.re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) (fma.f64 x.re y.im (*.f64 x.im y.re))))
(pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 1 binary64))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 3 binary64))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(pow.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(pow.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 2 binary64))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(sqrt.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)))
(log.f64 (exp.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)))))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(cbrt.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 3 binary64)))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(expm1.f64 (log1p.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(expm1.f64 (log1p.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(expm1.f64 (log1p.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))
(log1p.f64 (expm1.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(exp.f64 (log.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 1 binary64)))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 y.re x.im) (*.f64 x.re y.im))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(fma.f64 #s(literal 1 binary64) (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(fma.f64 #s(literal 2 binary64) (*.f64 x.re y.im) (fma.f64 x.re y.im (*.f64 x.im y.re)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(fma.f64 #s(literal 2 binary64) (*.f64 x.re y.im) (fma.f64 x.re y.im (*.f64 x.im y.re)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re x.im)) (*.f64 x.re y.im))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(fma.f64 (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 y.re x.im (*.f64 x.re y.im))) (fma.f64 x.re y.im (*.f64 x.re y.im)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(fma.f64 #s(literal 2 binary64) (*.f64 x.re y.im) (fma.f64 x.re y.im (*.f64 x.im y.re)))
(fma.f64 (sqrt.f64 (*.f64 y.re x.im)) (sqrt.f64 (*.f64 y.re x.im)) (*.f64 x.re y.im))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(pow.f64 (*.f64 x.re y.im) #s(literal 1 binary64))
(*.f64 x.re y.im)
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(*.f64 x.re y.im)
(pow.f64 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(*.f64 x.re y.im)
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.re y.im)
(neg.f64 (*.f64 x.re y.im))
(-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re (*.f64 #s(literal 0 binary64) y.im))) (*.f64 x.re y.im))
(*.f64 x.re (neg.f64 y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x.re y.im))
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(*.f64 x.re y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(*.f64 x.re y.im)
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(*.f64 x.re y.im)
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(*.f64 x.re y.im)
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(*.f64 x.re y.im)
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))
(*.f64 x.re y.im)

eval125.0ms (1%)

Memory
21.8MiB live, 371.5MiB allocated
Compiler

Compiled 19 980 to 3 303 computations (83.5% saved)

prune164.0ms (1.3%)

Memory
-17.1MiB live, 592.4MiB allocated
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New9615966
Fresh2810
Picked145
Done055
Total96422986
Accuracy
100.0%
Counts
986 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.6%
(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
23.1%
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
52.5%
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
61.5%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
56.1%
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
57.1%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
43.1%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
24.1%
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
24.7%
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
43.2%
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.4%
(/.f64 (*.f64 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
23.3%
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
43.8%
(/.f64 (neg.f64 x.re) y.im)
13.0%
(/.f64 x.re y.im)
45.5%
(/.f64 x.im y.re)
56.7%
(/.f64 #s(literal 1 binary64) (/.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
45.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
23.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im (/.f64 y.re y.im))))
46.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)))
23.2%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
43.7%
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
21.9%
(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
Compiler

Compiled 704 to 316 computations (55.1% saved)

regimes60.0ms (0.5%)

Memory
-10.4MiB live, 187.9MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im (/.f64 y.re y.im))))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 (*.f64 y.re x.im) (/.f64 #s(literal 1 binary64) 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 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.re (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))) x.re) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) x.re) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
Outputs
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
Calls

5 calls:

12.0ms
y.im
11.0ms
x.im
11.0ms
y.re
11.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
11.0ms
x.re
Results
AccuracySegmentsBranch
81.3%2x.re
83.2%3x.im
87.2%3y.re
91.7%3y.im
87.3%3(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes23.0ms (0.2%)

Memory
21.5MiB live, 63.4MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im (/.f64 y.re y.im))))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 (*.f64 y.re x.im) (/.f64 #s(literal 1 binary64) 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 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.re (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))) x.re) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) x.re) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
Outputs
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
Calls

2 calls:

11.0ms
y.im
9.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
AccuracySegmentsBranch
87.3%3(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
86.9%4y.im
Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes37.0ms (0.3%)

Memory
-29.6MiB live, 85.9MiB allocated
Counts
35 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im (/.f64 y.re y.im))))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 (*.f64 y.re x.im) (/.f64 #s(literal 1 binary64) 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 x.re (-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 #s(literal 2 binary64) (fma.f64 x.re (neg.f64 y.im) (*.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.re (pow.f64 (cbrt.f64 (/.f64 x.im y.im)) #s(literal 3 binary64))) x.re) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.re x.im) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 y.re (/.f64 x.im y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) x.re) y.im)
Outputs
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
Calls

3 calls:

12.0ms
y.re
11.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
10.0ms
y.im
Results
AccuracySegmentsBranch
85.8%4y.im
87.0%5y.re
84.5%5(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes19.0ms (0.1%)

Memory
9.7MiB live, 52.3MiB allocated
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 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im (/.f64 y.re y.im))))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re y.re))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 (*.f64 y.re x.im) (/.f64 #s(literal 1 binary64) y.im))) y.im)
Outputs
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
Calls

2 calls:

9.0ms
y.re
7.0ms
y.im
Results
AccuracySegmentsBranch
80.8%3y.re
83.2%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes22.0ms (0.2%)

Memory
27.5MiB live, 66.6MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im (/.f64 y.re y.im))))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
Outputs
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
Calls

3 calls:

8.0ms
x.im
6.0ms
x.re
6.0ms
y.im
Results
AccuracySegmentsBranch
67.7%4x.re
66.1%5x.im
82.6%3y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0.1%)

Memory
-19.8MiB live, 19.5MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im (/.f64 y.re y.im))))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
Outputs
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
Calls

1 calls:

6.0ms
y.im
Results
AccuracySegmentsBranch
82.6%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.1%)

Memory
-2.4MiB live, 36.9MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im (/.f64 y.re y.im))))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
Outputs
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (neg.f64 x.re) y.im)
Calls

2 calls:

5.0ms
y.re
5.0ms
y.im
Results
AccuracySegmentsBranch
74.6%3y.re
78.2%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes25.0ms (0.2%)

Memory
1.4MiB live, 45.8MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
(/.f64 (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im (/.f64 y.re y.im))))
Outputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.im y.re)
Calls

2 calls:

20.0ms
y.re
4.0ms
y.im
Results
AccuracySegmentsBranch
70.5%3y.re
67.9%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory
-10.6MiB live, 29.1MiB allocated
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:

3.0ms
x.re
2.0ms
y.re
2.0ms
y.im
1.0ms
x.im
Results
AccuracySegmentsBranch
45.5%1x.im
45.5%1x.re
51.6%3y.im
45.5%1y.re
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
y.re
1.0ms
y.im
Results
AccuracySegmentsBranch
45.5%1y.re
45.5%1y.im
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch26.0ms (0.2%)

Memory
-12.7MiB live, 66.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
4.677470132908002e+159
3.386506467206513e+160
13.0ms
-3.715601352168629e+137
-1.7756143612456951e+134
Samples
16.0ms224×0valid
Compiler

Compiled 610 to 368 computations (39.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (65% of total)
ival-sub: 1.0ms (10.8% of total)
ival-div: 1.0ms (10.8% of total)
ival-add: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-inf
-1.6955308639616435e+306
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch46.0ms (0.4%)

Memory
14.0MiB live, 134.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7202963.106616243
1823326830585.6738
18.0ms
-1.922040873591254e-55
-1.9279294669703561e-72
9.0ms
-3.675118585307163e+102
-2.5625336713093873e+101
Samples
28.0ms400×0valid
Compiler

Compiled 856 to 554 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 12.0ms (66.7% of total)
ival-sub: 2.0ms (11.1% of total)
ival-div: 2.0ms (11.1% of total)
ival-add: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
7.7MiB live, 87.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7202963.106616243
1823326830585.6738
15.0ms
-3.0003548918271758e-25
-1.1282947298065074e-33
Samples
20.0ms288×0valid
Compiler

Compiled 562 to 378 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (68.5% of total)
ival-div: 2.0ms (15.2% of total)
ival-sub: 1.0ms (7.6% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
5.3MiB live, 83.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7202963.106616243
1823326830585.6738
15.0ms
-3.0003548918271758e-25
-1.1282947298065074e-33
Samples
20.0ms288×0valid
Compiler

Compiled 526 to 342 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (63.1% of total)
ival-div: 2.0ms (15.8% of total)
ival-sub: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory
-28.5MiB live, 90.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7202963.106616243
1823326830585.6738
15.0ms
-3.0003548918271758e-25
-1.1282947298065074e-33
Samples
22.0ms288×0valid
Compiler

Compiled 526 to 342 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (70.1% of total)
ival-div: 2.0ms (14% of total)
ival-sub: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
18.6MiB live, 96.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.9073976419393352e+167
1.2153376819401048e+174
15.0ms
-2.1213972538170729e+71
-8.325209250628095e+62
Samples
21.0ms288×0valid
Compiler

Compiled 436 to 306 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (63.5% of total)
ival-div: 2.0ms (15.9% of total)
ival-sub: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory
6.3MiB live, 87.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
26613.93335906893
3273486844264.523
17.0ms
-2.096549742248449e+81
-3.1914738098379777e+72
Samples
20.0ms288×0valid
Compiler

Compiled 328 to 252 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (63.7% of total)
ival-div: 2.0ms (15.9% of total)
ival-sub: 1.0ms (8% of total)
ival-add: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Memory
-3.3MiB live, 74.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2.0911711146651105e+202
5.511444131841546e+217
9.0ms
-1.7245121160266226e+152
-4.713430780580059e+151
Samples
16.0ms240×0valid
Compiler

Compiled 262 to 198 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (60.5% of total)
ival-sub: 1.0ms (10.1% of total)
ival-div: 1.0ms (10.1% of total)
ival-add: 1.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify34.0ms (0.3%)

Memory
2.6MiB live, 84.0MiB allocated
Algorithm
egg-herbie
Rules
34×unsub-neg
34×neg-mul-1
20×*-commutative
19×+-commutative
18×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121297
11641297
22001297
32261297
42451297
52961297
63761297
73781297
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y.im #s(literal -5199999999999999995183133233955831514129961648865173362244035904158285563388861332064768544118981311140653401829104127367556457151070208 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 4799999999999999968901386170007642845227243635602082101883482528550422636179187755897527228399343774785722324420004953696461434043168436662009069766444668944384 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (<=.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal -inf.0 binary64)) (/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re) (if (<=.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -3605593463970953/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 800000000000 binary64)) (/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -8711228593176025/348449143727040986586495598010130648530944 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 105000000 binary64)) (/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 1500000000000 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -3266710722441009/10889035741470030830827987437816582766592 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 2700000000 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -3599999999999999989063410194181653648063438373587692629031649280 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 194999999999999989197766481828410836470971698173578103547931009817563091375729186868535654055181674823621197235519872264297657100260183940588538597920378634541662732288 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.re #s(literal -679999999999999982185812085187020778825228033158890213782659441106503073792 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 200000 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (<=.f64 y.im #s(literal -170000000000000010188567748783081155559920848313238080367863190441581134282194043947797535762619177368193788449875883799003045212229720441589803627053056 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 214999999999999994104492243414643454477423818171273938377411036164786499662200909605387028529820225151774354303887984268152099397047767911653937235227484477222467736332707090333334522610632315362560966656000 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(/.f64 x.im y.re)
Outputs
(if (<=.f64 y.im #s(literal -5199999999999999995183133233955831514129961648865173362244035904158285563388861332064768544118981311140653401829104127367556457151070208 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 4799999999999999968901386170007642845227243635602082101883482528550422636179187755897527228399343774785722324420004953696461434043168436662009069766444668944384 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (<=.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal -inf.0 binary64)) (/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re) (if (<=.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal -inf.0 binary64)) (/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re) (if (<=.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal -inf.0 binary64)) (/.f64 (+.f64 x.im (/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re) (if (<=.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -3605593463970953/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 800000000000 binary64)) (/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -3605593463970953/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 800000000000 binary64)) (/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -3605593463970953/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 800000000000 binary64)) (/.f64 (+.f64 x.im (/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -8711228593176025/348449143727040986586495598010130648530944 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 105000000 binary64)) (/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -8711228593176025/348449143727040986586495598010130648530944 binary64)) (not (<=.f64 y.im #s(literal 105000000 binary64)))) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re))
(if (or (<=.f64 y.im #s(literal -8711228593176025/348449143727040986586495598010130648530944 binary64)) (not (<=.f64 y.im #s(literal 105000000 binary64)))) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (/.f64 (+.f64 x.im (/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 y.im x.re)))) y.re))
(if (<=.f64 y.im #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 1500000000000 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) (not (<=.f64 y.im #s(literal 1500000000000 binary64)))) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.im #s(literal -3266710722441009/10889035741470030830827987437816582766592 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 2700000000 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -3266710722441009/10889035741470030830827987437816582766592 binary64)) (not (<=.f64 y.im #s(literal 2700000000 binary64)))) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.im #s(literal -3599999999999999989063410194181653648063438373587692629031649280 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 194999999999999989197766481828410836470971698173578103547931009817563091375729186868535654055181674823621197235519872264297657100260183940588538597920378634541662732288 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -3599999999999999989063410194181653648063438373587692629031649280 binary64)) (not (<=.f64 y.im #s(literal 194999999999999989197766481828410836470971698173578103547931009817563091375729186868535654055181674823621197235519872264297657100260183940588538597920378634541662732288 binary64)))) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.re #s(literal -679999999999999982185812085187020778825228033158890213782659441106503073792 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 200000 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (or (<=.f64 y.re #s(literal -679999999999999982185812085187020778825228033158890213782659441106503073792 binary64)) (not (<=.f64 y.re #s(literal 200000 binary64)))) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im))
(if (<=.f64 y.im #s(literal -170000000000000010188567748783081155559920848313238080367863190441581134282194043947797535762619177368193788449875883799003045212229720441589803627053056 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 214999999999999994104492243414643454477423818171273938377411036164786499662200909605387028529820225151774354303887984268152099397047767911653937235227484477222467736332707090333334522610632315362560966656000 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(if (or (<=.f64 y.im #s(literal -170000000000000010188567748783081155559920848313238080367863190441581134282194043947797535762619177368193788449875883799003045212229720441589803627053056 binary64)) (not (<=.f64 y.im #s(literal 214999999999999994104492243414643454477423818171273938377411036164786499662200909605387028529820225151774354303887984268152099397047767911653937235227484477222467736332707090333334522610632315362560966656000 binary64)))) (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.im y.re)

soundness1.2s (9.5%)

Memory
-9.4MiB live, 1 583.0MiB allocated
Rules
942×log1p-expm1-u
942×expm1-log1p-u
915×times-frac
766×fmm-def
621×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037553
1677509
018161
1268151
23887151
076524434
1191320630
2633520610
0169056634
1472554888
036421
1635381
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1 479 to 421 computations (71.5% saved)

preprocess134.0ms (1.1%)

Memory
-4.7MiB live, 161.5MiB allocated
Compiler

Compiled 680 to 236 computations (65.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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