_divideComplex, imaginary part

Time bar (total: 11.0s)

analyze35.0ms (0.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 20 to 12 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
Operation ival-mult, time spent: 13.0ms, 73.0% of total-time
Operation ival-sub, time spent: 2.0ms, 11.0% of total-time
Operation ival-div, time spent: 2.0ms, 11.0% of total-time
Operation ival-add, time spent: 2.0ms, 11.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.6s (14.8%)

Results
1.5s7782×256valid
62.0ms473×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 428.0ms
Operation ival-mult, time spent: 257.0ms, 60.0% of total-time
Operation ival-div, time spent: 63.0ms, 15.0% of total-time
Operation ival-sub, time spent: 51.0ms, 12.0% of total-time
Operation ival-add, time spent: 48.0ms, 11.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Bogosity

preprocess508.0ms (4.6%)

Algorithm
egg-herbie
Rules
1255×fma-define
795×fmm-def
503×div-sub
415×distribute-rgt-in
411×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1020-1(8.842451868161042e-137 -1.1264047729968054e+143 2.6586556743226077e-185 -1.9194613739019394e-161)(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
20-0-(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
00-0-x.im
00-0-y.im
00-0-y.re
00-0-x.re
00-0-(*.f64 y.im y.im)
00-0-(*.f64 x.im y.re)
00-0-(*.f64 x.re y.im)
00-0-(*.f64 y.re y.re)
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
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)))
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
Operation ival-mult, time spent: 70.0ms, 87.0% of total-time
Operation ival-div, time spent: 4.0ms, 5.0% of total-time
Operation ival-sub, time spent: 3.0ms, 4.0% of total-time
Operation ival-add, time spent: 3.0ms, 4.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 32 to 16 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
61.7%
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
61.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 37 to 21 computations (43.2% saved)

localize82.0ms (0.7%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 y.im y.im (*.f64 y.re y.re))
99.2%
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
62.1%
(/.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)))
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
99.3%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
62.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
Operation ival-mult, time spent: 14.0ms, 39.0% of total-time
Operation composed, time spent: 9.0ms, 25.0% of total-time
Operation ival-add, time spent: 6.0ms, 17.0% of total-time
Operation ival-div, time spent: 4.0ms, 11.0% of total-time
Operation ival-sub, time spent: 2.0ms, 6.0% of total-time
Operation ival-neg, time spent: 1.0ms, 3.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series29.0ms (0.3%)

Counts
6 → 234
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>
#<alt (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))>
#<alt (/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))>
#<alt (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))>
#<alt (fma.f64 y.im y.im (*.f64 y.re y.re))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
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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)))))>
Calls

60 calls:

TimeVariablePointExpression
4.0ms
x.im
@0
(/ (+ (* x.im y.re) (* x.re (neg y.im))) (+ (* y.im y.im) (* y.re y.re)))
2.0ms
x.re
@0
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.im
@0
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.im
@-inf
(/ (- (* x.im y.re) (* 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)))

rewrite290.0ms (2.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
025230
1385194
24625194
Stop Event
node limit
Counts
6 → 330
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 (*.f64 y.re y.re) (*.f64 y.im y.im))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
(fma.f64 y.im y.im (*.f64 y.re y.re))
Outputs
(+.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x.im y.re) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 x.im y.re)) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (cbrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (*.f64 x.im y.re) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im y.re) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x.im #s(literal 1 binary64)) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x.im (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 y.re (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (neg.f64 (*.f64 x.re (/.f64 y.im (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 x.im y.re) (+.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 x.re) y.im (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.re y.im))) (sqrt.f64 (*.f64 x.re y.im)) (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (+.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(+.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))) (-.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(exp.f64 (log.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.im y.im (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64))))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(-.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)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re 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))) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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.im #s(literal 6 binary64)) (pow.f64 y.re #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) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (+.f64 y.re y.im) (-.f64 y.re y.im))
(/.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.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re 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.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.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))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.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 (pow.f64 (hypot.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.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 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)))

simplify469.0ms (4.3%)

Algorithm
egg-herbie
Rules
494×distribute-lft-neg-in
490×fmm-def
270×fma-define
243×*-commutative
230×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059931088
1157929023
2541428519
Stop Event
node limit
Counts
564 → 374
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
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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)))))))
(*.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)))))))
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(*.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 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (neg.f64 (*.f64 x.re (/.f64 y.im (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 x.im y.re) (+.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 x.re) y.im (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.re y.im))) (sqrt.f64 (*.f64 x.re y.im)) (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (+.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(+.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(-.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))) (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.re y.im))) (-.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im)))) (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))) (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))) (-.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(exp.f64 (log.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.im y.im (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64))))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(-.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)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re 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))) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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.im #s(literal 6 binary64)) (pow.f64 y.re #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) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (+.f64 y.re y.im) (-.f64 y.re y.im))
(/.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.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re 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.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.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))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.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 (pow.f64 (hypot.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.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 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)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 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)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x.re) y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
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(/.f64 (fma.f64 x.re y.im (*.f64 y.re x.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
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(/.f64 (-.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))
(/.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 (*.f64 y.im y.re) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 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))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))
(sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 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)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))

eval171.0ms (1.6%)

Compiler

Compiled 8426 to 3146 computations (62.7% saved)

prune78.0ms (0.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New36014374
Fresh000
Picked112
Done000
Total36115376
Accuracy
99.9%
Counts
376 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.4%
(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)))))
20.1%
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
53.3%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
61.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
61.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.9%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
44.6%
(/.f64 (+.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
53.7%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
39.0%
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
50.8%
(/.f64 (*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.5%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.4%
(/.f64 (neg.f64 x.re) y.im)
46.1%
(/.f64 x.im y.re)
40.8%
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
39.9%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
Compiler

Compiled 441 to 283 computations (35.8% saved)

localize170.0ms (1.5%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
95.7%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
71.1%
(/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
74.0%
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
100.0%
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
98.8%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
94.7%
(*.f64 y.re (/.f64 x.im y.im))
100.0%
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
99.3%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
62.1%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
Compiler

Compiled 143 to 38 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
Operation ival-mult, time spent: 21.0ms, 26.0% of total-time
Operation composed, time spent: 18.0ms, 22.0% of total-time
Operation ival-pow, time spent: 14.0ms, 17.0% of total-time
Operation ival-div, time spent: 13.0ms, 16.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 6.0% of total-time
Operation ival-add, time spent: 4.0ms, 5.0% of total-time
Operation ival-sub, time spent: 3.0ms, 4.0% of total-time
Operation ival-neg, time spent: 3.0ms, 4.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series47.0ms (0.4%)

Counts
9 → 324
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))>
#<alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))>
#<alt (*.f64 y.re (/.f64 x.im y.im))>
#<alt (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)>
#<alt (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)>
#<alt (/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))>
#<alt (*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))>
#<alt (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.im y.re)>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<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)))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
Calls

81 calls:

TimeVariablePointExpression
9.0ms
x.im
@-inf
(- (* y.re (/ x.im y.im)) x.re)
4.0ms
x.re
@0
(/ (* (neg x.re) y.im) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
y.re
@inf
(/ (neg y.im) (pow (sqrt (+ (* y.im y.im) (* y.re y.re))) 2))
1.0ms
x.re
@inf
(/ (* (neg x.re) y.im) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
y.im
@0
(/ (* (neg x.re) y.im) (+ (* y.re y.re) (* y.im y.im)))

rewrite111.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
034300
1605276
Stop Event
node limit
Counts
9 → 355
Calls
Call 1
Inputs
(/.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 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(*.f64 y.re (/.f64 x.im y.im))
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im 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))))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 x.im (/.f64 y.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.im (/.f64 y.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 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.im y.im (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))
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(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.im y.im (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(-.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)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (*.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (*.f64 (hypot.f64 y.re y.im) (sqrt.f64 (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im)))
(*.f64 (+.f64 y.re y.im) (-.f64 y.re y.im))
(*.f64 (*.f64 (hypot.f64 y.re y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))) (neg.f64 (pow.f64 (hypot.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.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.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))))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 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)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 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 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y.re y.im))) #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 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.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 (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)))

simplify428.0ms (3.9%)

Algorithm
egg-herbie
Rules
434×associate-*r*
389×fma-define
367×associate-*l*
312×associate-*r/
274×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097032635
1247930438
Stop Event
node limit
Counts
679 → 616
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
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(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))) (neg.f64 (pow.f64 (hypot.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.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.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))))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 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)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 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 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y.re y.im))) #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 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.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 (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)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x.re) y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (neg.f64 y.im) (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (neg.f64 y.im) (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (neg.f64 y.im) (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (neg.f64 y.im) (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.im))) (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.im))) (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.im))) (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.im)))))
(*.f64 x.im (neg.f64 (fma.f64 x.re (/.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.im)))))
(*.f64 x.im (neg.f64 (fma.f64 x.re (/.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.im)))))
(*.f64 x.im (neg.f64 (fma.f64 x.re (/.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))
(fma.f64 y.re (fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (neg.f64 y.im)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 y.re (fma.f64 y.re (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (neg.f64 y.im)))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im y.re))))) y.re)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im y.re))) x.im) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 (+.f64 x.im (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(-.f64 (/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 x.re (/.f64 y.im y.re)))) y.re) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (pow.f64 y.re #s(literal 3 binary64))))
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re y.im) (/.f64 (neg.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) y.re)) y.re))) y.re))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x.re y.im (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.im y.re)))) y.re) x.im) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x.re y.im) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im))) y.re))) y.re))) y.re))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x.re y.im (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) y.re))) y.re) x.im) (neg.f64 y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (neg.f64 y.im) (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
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(expm1.f64 (log1p.f64 (*.f64 (*.f64 x.re 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 (*.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.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 (*.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.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 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 x.re 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 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.im y.im (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 #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)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.im y.im (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 #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)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))))))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (*.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(*.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))) (+.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 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (-.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)))
(*.f64 (*.f64 (hypot.f64 y.re y.im) (sqrt.f64 (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(*.f64 (+.f64 y.re y.im) (-.f64 y.re y.im))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 (*.f64 (hypot.f64 y.re y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.re y.im)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))) (+.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 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (-.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))) (+.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 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (-.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.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.im y.re) #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.re #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 (hypot.f64 y.re 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 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (neg.f64 (-.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (-.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.im y.re) #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.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #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 (*.f64 y.im y.re) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 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))))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 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)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y.re y.im))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y.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 (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)))

eval387.0ms (3.5%)

Compiler

Compiled 14367 to 6422 computations (55.3% saved)

prune205.0ms (1.9%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New7906796
Fresh369
Picked145
Done011
Total79417811
Accuracy
100.0%
Counts
811 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
53.0%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
61.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
61.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.9%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
53.7%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
39.0%
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
50.8%
(/.f64 (*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.5%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.4%
(/.f64 (neg.f64 x.re) y.im)
46.1%
(/.f64 x.im y.re)
40.8%
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
38.9%
(*.f64 y.re (-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))
17.6%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
42.3%
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
47.8%
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.im)))
56.1%
(*.f64 x.re (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im))))
Compiler

Compiled 414 to 267 computations (35.5% saved)

localize170.0ms (1.5%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
93.6%
(*.f64 x.re (/.f64 y.im y.re))
90.4%
(*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
62.1%
(/.f64 (*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
100.0%
(+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re))
99.2%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
93.7%
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
100.0%
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
99.2%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
93.6%
(*.f64 x.re (/.f64 y.im y.re))
100.0%
(/.f64 y.im (hypot.f64 y.re y.im))
100.0%
(/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im))
99.9%
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
95.7%
(*.f64 x.re (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im))))
Compiler

Compiled 174 to 32 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
Operation ival-div, time spent: 20.0ms, 32.0% of total-time
Operation ival-mult, time spent: 20.0ms, 32.0% of total-time
Operation composed, time spent: 11.0ms, 18.0% of total-time
Operation ival-add, time spent: 4.0ms, 6.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 3.0% of total-time
Operation ival-sub, time spent: 1.0ms, 2.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

series57.0ms (0.5%)

Counts
13 → 504
Calls
Call 1
Inputs
#<alt (*.f64 x.re (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im))))>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))>
#<alt (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im))>
#<alt (/.f64 y.im (hypot.f64 y.re y.im))>
#<alt (*.f64 x.re (/.f64 y.im y.re))>
#<alt (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)>
#<alt (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))>
#<alt (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)>
#<alt (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re))>
#<alt (/.f64 (*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))>
#<alt (*.f64 x.re (/.f64 y.im y.re))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64)))))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 6 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (/.f64 #s(literal -1 binary64) y.im)>
#<alt (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.im) (/.f64 (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) y.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (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) y.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.im) (/.f64 (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) y.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (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) y.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 y.im (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 y.im (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 y.im (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) y.im)>
#<alt (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)>
#<alt (/.f64 (-.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 #s(literal -1 binary64) (/.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)))))) y.im)>
#<alt (/.f64 #s(literal -1 binary64) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.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)))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.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))))) y.im))>
#<alt (/.f64 #s(literal -1 binary64) y.im)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))>
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#<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 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) x.re)))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im)))))>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
Calls

126 calls:

TimeVariablePointExpression
5.0ms
x.re
@0
(/ (* (neg x.re) y.im) y.re)
3.0ms
x.im
@inf
(/ (- x.im (* x.re (/ y.im y.re))) y.re)
2.0ms
y.re
@-inf
(/ (+ x.im (/ (* (neg x.re) y.im) y.re)) y.re)
1.0ms
y.re
@inf
(/ -1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms
x.im
@-inf
(/ (* y.re (- x.im (* x.re (/ y.im y.re)))) (+ (* y.re y.re) (* y.im y.im)))

rewrite136.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
237×associate-*r*
235×log1p-expm1-u
235×expm1-log1p-u
231×add-exp-log
231×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032445
1554398
Stop Event
node limit
Counts
13 → 483
Calls
Call 1
Inputs
(*.f64 x.re (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re))
(/.f64 (*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
(*.f64 x.re (/.f64 y.im y.re))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im))
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) y.im) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) #s(literal 1 binary64)) (/.f64 (hypot.f64 y.re y.im) y.im))
(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (neg.f64 y.im)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im))
(pow.f64 (/.f64 (*.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 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 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 (sqrt.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.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 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 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.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 x.re #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) y.im) (hypot.f64 y.re y.im)))
(/.f64 y.im (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 y.im (*.f64 (*.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64)) (hypot.f64 y.re y.im)))
(/.f64 y.im (*.f64 (hypot.f64 y.re y.im) (*.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im))
(/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (*.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64)) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) y.im) (*.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (neg.f64 y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im)))))
(/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (neg.f64 y.im) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 y.im) (*.f64 (*.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (neg.f64 y.im) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (neg.f64 y.im) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (*.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 y.im) #s(literal -1 binary64)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (neg.f64 y.im)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (neg.f64 y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 (neg.f64 y.im) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)) (hypot.f64 y.re y.im))
(/.f64 (/.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im)))
(pow.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (neg.f64 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 (neg.f64 y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
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(cbrt.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(log1p.f64 (expm1.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(exp.f64 (log.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x.re (/.f64 y.re y.im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 1 binary64))
(/.f64 x.re (/.f64 y.re y.im))
(/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 x.re y.im)))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) (neg.f64 y.re))
(/.f64 (*.f64 x.re y.im) (neg.f64 (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re (*.f64 x.re y.im)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 x.re y.im) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(/.f64 (/.f64 (*.f64 x.re y.im) #s(literal 1 binary64)) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 x.re y.im)) #s(literal -1 binary64))
(neg.f64 (/.f64 x.re (/.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re (/.f64 y.re y.im)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x.re (/.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 x.re (/.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 x.re (/.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 1 binary64)))

simplify357.0ms (3.2%)

Algorithm
egg-herbie
Rules
653×times-frac
623×fma-define
334×*-commutative
312×distribute-lft-in
305×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0128043534
1338942136
Stop Event
node limit
Counts
987 → 799
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.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 y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (/.f64 (*.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)))
(/.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)))
(/.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)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (/.f64 (*.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)))
(/.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)))
(/.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)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64)))))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 6 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im)
(*.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.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 (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))
(/.f64 #s(literal -1 binary64) y.im)
(-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y.im))
(-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))
(-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.im) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.im) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 y.im (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) y.im)
(/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 (-.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 #s(literal -1 binary64) (/.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)))))) y.im)
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(/.f64 #s(literal -1 binary64) y.im)
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(/.f64 #s(literal -1 binary64) y.re)
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(*.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (/.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (*.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (*.f64 y.re (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.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 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) y.re)
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 y.re (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 1 binary64)) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.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 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.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 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 y.re (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im y.re) (*.f64 (/.f64 x.re (/.f64 y.re y.im)) y.re))
(+.f64 (*.f64 y.re x.im) (*.f64 y.re (/.f64 x.re (/.f64 y.re y.im))))
(+.f64 (*.f64 y.re (/.f64 x.re (/.f64 y.re y.im))) (*.f64 y.re x.im))
(+.f64 (*.f64 (/.f64 x.re (/.f64 y.re y.im)) y.re) (*.f64 x.im y.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))) #s(literal 1 binary64))
(/.f64 (*.f64 y.re (+.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(/.f64 (*.f64 y.re (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))) (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(/.f64 (*.f64 y.re (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) y.re) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) y.re) (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) y.re) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.re) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(cbrt.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(log1p.f64 (expm1.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(exp.f64 (log.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x.re (/.f64 y.re y.im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 1 binary64))
(/.f64 x.re (/.f64 y.re y.im))
(/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 x.re y.im)))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (*.f64 x.re y.im) (neg.f64 y.re))
(/.f64 (*.f64 x.re y.im) (neg.f64 (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re (*.f64 x.re y.im)) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 x.re y.im) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(/.f64 (/.f64 (*.f64 x.re y.im) #s(literal 1 binary64)) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 x.re y.im)) #s(literal -1 binary64))
(neg.f64 (/.f64 x.re (/.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re (/.f64 y.re y.im)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x.re (/.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 x.re (/.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 x.re (/.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im 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 (*.f64 (neg.f64 x.re) y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im 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 (*.f64 (neg.f64 x.re) y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im 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 (*.f64 (neg.f64 x.re) y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im 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 (*.f64 (neg.f64 x.re) y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im 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 (*.f64 (neg.f64 x.re) y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im 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 (*.f64 (neg.f64 x.re) y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im 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 (*.f64 (neg.f64 x.re) y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) y.re) (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 y.re (-.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) y.re) (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 y.re (/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) y.re) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 y.re (/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (/.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 1 binary64))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(pow.f64 (cbrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 3 binary64))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(pow.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(pow.f64 (sqrt.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 2 binary64))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(sqrt.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log.f64 (pow.f64 (exp.f64 y.re) (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(cbrt.f64 (pow.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)) #s(literal 3 binary64)))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64))))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(expm1.f64 (log1p.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(log1p.f64 (expm1.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(exp.f64 (log.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 1 binary64)))
(*.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
(-.f64 #s(literal 0 binary64) (/.f64 x.re (/.f64 y.re y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.im y.re))))
(/.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 x.re y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (*.f64 x.re y.im) (neg.f64 y.re))
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
(/.f64 (*.f64 x.re y.im) (neg.f64 (neg.f64 y.re)))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.re y.im)))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re (*.f64 x.re y.im)) #s(literal 1 binary64)))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (/.f64 (*.f64 x.re y.im) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (/.f64 (*.f64 x.re y.im) #s(literal 1 binary64)) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(*.f64 x.re (/.f64 y.im y.re))
(pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64))
(*.f64 x.re (/.f64 y.im y.re))
(pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64))
(*.f64 x.re (/.f64 y.im y.re))
(pow.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.re (/.f64 y.im y.re))
(pow.f64 (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))
(*.f64 x.re (/.f64 y.im y.re))
(pow.f64 (/.f64 y.re (*.f64 x.re y.im)) #s(literal -1 binary64))
(*.f64 x.re (/.f64 y.im y.re))
(neg.f64 (/.f64 x.re (/.f64 y.re y.im)))
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
(sqrt.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x.re (/.f64 y.im y.re)))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re)))
(*.f64 x.re (/.f64 y.im y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re (/.f64 y.re y.im)))))
(*.f64 x.re (/.f64 y.im y.re))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x.re) (/.f64 y.im y.re))))
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
(cbrt.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))
(*.f64 x.re (/.f64 y.im y.re))
(expm1.f64 (log1p.f64 (/.f64 x.re (/.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 x.re (/.f64 y.re y.im))))
(*.f64 x.re (/.f64 y.im y.re))
(exp.f64 (log.f64 (/.f64 x.re (/.f64 y.re y.im))))
(*.f64 x.re (/.f64 y.im y.re))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 1 binary64)))
(*.f64 x.re (/.f64 y.im y.re))

eval444.0ms (4%)

Compiler

Compiled 20416 to 8965 computations (56.1% saved)

prune257.0ms (2.3%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New9754979
Fresh167
Picked235
Done055
Total97818996
Accuracy
100.0%
Counts
996 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
53.0%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
61.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
61.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.9%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
57.2%
(/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im))
39.0%
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
50.8%
(/.f64 (*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.5%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
22.0%
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
20.8%
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
42.4%
(/.f64 (neg.f64 x.re) y.im)
46.1%
(/.f64 x.im y.re)
40.8%
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
38.9%
(*.f64 y.re (-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))
42.3%
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
47.8%
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.im)))
29.3%
(*.f64 x.re (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64)))
Compiler

Compiled 392 to 255 computations (34.9% saved)

localize293.0ms (2.7%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
95.1%
(-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))
93.2%
(/.f64 x.re (*.f64 y.im y.re))
89.0%
(/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))
87.7%
(*.f64 y.re (-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
74.1%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
98.6%
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
94.2%
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
99.7%
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
100.0%
(/.f64 y.im (neg.f64 (hypot.f64 y.re y.im)))
99.5%
(/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im))
97.7%
(*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re)
Compiler

Compiled 150 to 42 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 202.0ms
Operation ival-neg, time spent: 123.0ms, 61.0% of total-time
Operation ival-div, time spent: 25.0ms, 12.0% of total-time
Operation ival-mult, time spent: 19.0ms, 9.0% of total-time
Operation ival-pow, time spent: 16.0ms, 8.0% of total-time
Operation composed, time spent: 9.0ms, 4.0% of total-time
Operation ival-add, time spent: 3.0ms, 1.0% of total-time
Operation ival-sub, time spent: 3.0ms, 1.0% of total-time
Operation const, time spent: 2.0ms, 1.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 1.0% of total-time

series87.0ms (0.8%)

Counts
11 → 321
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re)>
#<alt (/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im))>
#<alt (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im)))>
#<alt (*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))>
#<alt (*.f64 y.im (/.f64 x.re (neg.f64 y.re)))>
#<alt (/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)>
#<alt (/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 y.re (-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 x.re (*.f64 y.im y.re))>
#<alt (-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64))))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))))))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.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.re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt x.re>
#<alt (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.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.re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))>
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#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
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#<alt (/.f64 (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)) y.im)>
#<alt (/.f64 (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)) y.im)>
#<alt (/.f64 (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re))) y.im))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re)))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re)))>
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#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)) y.re)>
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#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)) y.re)>
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#<alt (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))>
Calls

96 calls:

TimeVariablePointExpression
36.0ms
y.im
@-inf
(* (/ y.im (neg (sqrt (+ (* y.re y.re) (* y.im y.im))))) x.re)
4.0ms
x.re
@inf
(/ x.re (* y.im y.re))
2.0ms
x.re
@inf
(/ (* y.im (/ x.re (neg y.re))) y.re)
2.0ms
y.re
@inf
(/ (* y.re x.im) (+ (* y.re y.re) (* y.im y.im)))
2.0ms
x.re
@0
(* (/ y.im (neg (sqrt (+ (* y.re y.re) (* y.im y.im))))) x.re)

rewrite123.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
036378
1614331
Stop Event
node limit
Counts
11 → 352
Calls
Call 1
Inputs
(*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re)
(/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im))
(/.f64 y.im (neg.f64 (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.re (-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))
(/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 x.re (*.f64 y.im y.re))
(-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y.im x.re) (hypot.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y.im x.re) (hypot.f64 y.im y.re)))) #s(literal 1 binary64))
(/.f64 x.re (/.f64 (hypot.f64 y.im y.re) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) (*.f64 y.im x.re)))
(/.f64 (*.f64 y.im x.re) (hypot.f64 y.im y.re))
(/.f64 (neg.f64 (*.f64 y.im x.re)) (hypot.f64 y.im y.re))
(pow.f64 (/.f64 (*.f64 y.im x.re) (hypot.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y.im x.re) (hypot.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y.im x.re) (hypot.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y.im x.re) (hypot.f64 y.im y.re))) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 y.im x.re) (hypot.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y.im x.re) (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y.im (hypot.f64 y.im y.re))) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y.im x.re) (hypot.f64 y.im y.re)))))
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(+.f64 (fma.f64 (cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y.im y.re)) x.re))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y.im y.re))) x.re (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y.im y.re)) x.re)))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64)))) (neg.f64 (*.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 1 binary64)))) (fma.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 1 binary64) (*.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re)))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) y.im) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y.im y.re)) x.re))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y.im y.re))) x.re (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y.im y.re)) x.re)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) y.im) (neg.f64 (*.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 1 binary64)))) (fma.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 1 binary64) (*.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) y.im) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re)))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(*.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) (sqrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(*.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re))))
(*.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))))))
(*.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 x.im) y.im) (sqrt.f64 (/.f64 x.re (*.f64 y.im y.re)))) (-.f64 (/.f64 (sqrt.f64 x.im) y.im) (sqrt.f64 (/.f64 x.re (*.f64 y.im y.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re)) (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))) (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re)))
(/.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))))
(/.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))))
(/.f64 (+.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re)))
(/.f64 (+.f64 (*.f64 x.im (/.f64 (*.f64 y.im y.re) x.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (+.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (neg.f64 x.re))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re)))
(/.f64 (+.f64 (*.f64 y.re x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.im))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))
(/.f64 (+.f64 (*.f64 y.im y.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) x.re)) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (*.f64 y.im y.re)))
(/.f64 (+.f64 (/.f64 (*.f64 y.im y.re) x.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (+.f64 (*.f64 y.im y.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (neg.f64 x.re))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (*.f64 y.im y.re)))
(/.f64 (+.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (/.f64 x.re y.im))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) y.re))
(/.f64 (+.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im y.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) x.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.im y.re)))
(/.f64 (+.f64 (*.f64 (neg.f64 x.im) (/.f64 (*.f64 y.im y.re) x.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (+.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im y.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (neg.f64 x.re))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.im y.re)))
(/.f64 (+.f64 (*.f64 y.re x.im) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) y.re))
(/.f64 (-.f64 (*.f64 x.im (/.f64 (*.f64 y.im y.re) x.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (neg.f64 x.re))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.im))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))
(/.f64 (-.f64 (*.f64 y.im y.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) x.re)) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (*.f64 y.im y.re)))
(/.f64 (-.f64 (/.f64 (*.f64 y.im y.re) x.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (-.f64 (*.f64 y.im y.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (neg.f64 x.re))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (*.f64 y.im y.re)))
(/.f64 (-.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (/.f64 x.re y.im))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) y.re))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im y.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) x.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.im y.re)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) (/.f64 (*.f64 y.im y.re) x.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im y.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (neg.f64 x.re))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.im y.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) y.re))
(/.f64 (neg.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))) (neg.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))))
(pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(exp.f64 (log.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 1 binary64)))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64)))) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) y.im) (/.f64 x.re (*.f64 y.im y.re)))

simplify271.0ms (2.5%)

Algorithm
egg-herbie
Rules
678×associate-*r*
628×fma-define
388×times-frac
307×*-commutative
219×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124633319
1346331468
Stop Event
node limit
Counts
673 → 776
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64))))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))))))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64))))))))))
(*.f64 #s(literal -1 binary64) x.re)
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(+.f64 (fma.f64 (cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64)))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re)))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) y.im) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y.im y.re)) x.re))) (fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y.im y.re))) x.re (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y.im y.re)) x.re)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) y.im) (neg.f64 (*.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 1 binary64)))) (fma.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 1 binary64) (*.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) y.im) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re)))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 x.re (*.f64 y.im y.re))) (cbrt.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(*.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) (sqrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(*.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re))))
(*.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))))))
(*.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 x.im) y.im) (sqrt.f64 (/.f64 x.re (*.f64 y.im y.re)))) (-.f64 (/.f64 (sqrt.f64 x.im) y.im) (sqrt.f64 (/.f64 x.re (*.f64 y.im y.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re)) (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))) (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re)))
(/.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))))
(/.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))))
(/.f64 (+.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re)))
(/.f64 (+.f64 (*.f64 x.im (/.f64 (*.f64 y.im y.re) x.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (+.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (neg.f64 x.re))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re)))
(/.f64 (+.f64 (*.f64 y.re x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.im))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))
(/.f64 (+.f64 (*.f64 y.im y.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) x.re)) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (*.f64 y.im y.re)))
(/.f64 (+.f64 (/.f64 (*.f64 y.im y.re) x.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (+.f64 (*.f64 y.im y.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (neg.f64 x.re))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (*.f64 y.im y.re)))
(/.f64 (+.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (/.f64 x.re y.im))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) y.re))
(/.f64 (+.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im y.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) x.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.im y.re)))
(/.f64 (+.f64 (*.f64 (neg.f64 x.im) (/.f64 (*.f64 y.im y.re) x.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (+.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im y.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (neg.f64 x.re))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.im y.re)))
(/.f64 (+.f64 (*.f64 y.re x.im) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) y.re))
(/.f64 (-.f64 (*.f64 x.im (/.f64 (*.f64 y.im y.re) x.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (neg.f64 x.re))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.im))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))
(/.f64 (-.f64 (*.f64 y.im y.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) x.re)) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (*.f64 y.im y.re)))
(/.f64 (-.f64 (/.f64 (*.f64 y.im y.re) x.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (-.f64 (*.f64 y.im y.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (neg.f64 x.re))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (*.f64 y.im y.re)))
(/.f64 (-.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (/.f64 x.re y.im))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) y.re))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im y.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) x.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.im y.re)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) (/.f64 (*.f64 y.im y.re) x.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im y.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (neg.f64 x.re))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.im y.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) y.re))
(/.f64 (neg.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))) (neg.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))))
(pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(exp.f64 (log.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 1 binary64)))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64)))) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) y.im) (/.f64 x.re (*.f64 y.im y.re)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
(*.f64 y.im (/.f64 (neg.f64 x.re) y.re))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64))))))
(*.f64 y.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re y.re) (*.f64 #s(literal 1/2 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))))))
(*.f64 y.im (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x.re) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re y.re)))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))))))
(*.f64 y.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re y.re) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))))))
(*.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x.re) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (neg.f64 x.re) y.re)))
(*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64))))))))))
(*.f64 y.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re y.re) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64))) (*.f64 #s(literal 5/16 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64))))))))))
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(*.f64 #s(literal -1 binary64) x.re)
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(/.f64 (-.f64 (/.f64 (*.f64 y.im y.re) x.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (-.f64 (*.f64 y.im (/.f64 y.re x.re)) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) (/.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) x.re) x.im))
(/.f64 (-.f64 (*.f64 y.im (/.f64 y.re x.re)) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) (/.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (/.f64 y.re x.re)) x.im))
(/.f64 (-.f64 (*.f64 y.im y.re) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (neg.f64 x.re))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (*.f64 y.im y.re)))
(/.f64 (fma.f64 y.im y.re (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im))) (/.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) x.im))
(/.f64 (fma.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (*.f64 y.im y.re)) (/.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) x.im))
(/.f64 (-.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (/.f64 x.re y.im))) (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) y.re))
(/.f64 (-.f64 y.re (*.f64 (/.f64 x.re y.im) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im))) (*.f64 y.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im y.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) x.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.im y.re)))
(*.f64 (fma.f64 x.im (*.f64 y.im y.re) (*.f64 x.re (neg.f64 (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)))
(/.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) (/.f64 (*.f64 y.im y.re) x.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 y.im y.re) x.re)))
(/.f64 (+.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im (/.f64 y.re x.re))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (neg.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) x.re))
(/.f64 (fma.f64 (neg.f64 x.im) (*.f64 y.im (/.f64 y.re x.re)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 (neg.f64 y.im) #s(literal 3 binary64)) (/.f64 y.re x.re)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) (*.f64 y.im y.re)) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (neg.f64 x.re))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.im y.re)))
(/.f64 (fma.f64 x.im (*.f64 y.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re))
(/.f64 (fma.f64 x.re (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.im y.re))) (*.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))) (*.f64 (neg.f64 (pow.f64 y.im #s(literal 2 binary64))) y.re))
(/.f64 (fma.f64 y.re x.im (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.im))) (*.f64 y.re (neg.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))) (neg.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.im y.re))))
(*.f64 (fma.f64 x.im (*.f64 y.im y.re) (*.f64 x.re (neg.f64 (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)))
(/.f64 (-.f64 (*.f64 x.im (*.f64 y.im y.re)) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))))))
(neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (neg.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 (/.f64 x.re (*.f64 y.im y.re)) (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(neg.f64 (/.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64)) (neg.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 (/.f64 x.re (*.f64 y.im y.re)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 (/.f64 x.re (*.f64 y.im y.re)) (-.f64 (/.f64 x.re (*.f64 y.im y.re)) (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64)))))))
(pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 1 binary64))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 3 binary64))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(pow.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(pow.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 2 binary64))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))))
(log.f64 (exp.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))))))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(cbrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re))) #s(literal 3 binary64)))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(exp.f64 (log.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))) #s(literal 1 binary64)))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 x.im (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.im (pow.f64 y.im #s(literal -2 binary64)))) (/.f64 x.re (*.f64 y.im y.re)))
(fma.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) y.im) (/.f64 x.re (*.f64 y.im y.re)))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 x.im) y.im) #s(literal 2 binary64)) (/.f64 x.re (*.f64 y.im y.re)))
(+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re)))

eval534.0ms (4.8%)

Compiler

Compiled 16756 to 8564 computations (48.9% saved)

prune434.0ms (3.9%)

Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New82711838
Fresh235
Picked235
Done178
Total83224856
Accuracy
100.0%
Counts
856 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.3%
(/.f64 (/.f64 (*.f64 y.im x.re) y.re) y.re)
20.4%
(/.f64 (/.f64 (neg.f64 (*.f64 y.im x.re)) y.re) y.re)
53.3%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
53.0%
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
61.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
61.7%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.9%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
57.2%
(/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im))
20.8%
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
10.3%
(/.f64 (*.f64 (/.f64 y.im y.re) x.re) y.re)
39.0%
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.5%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
29.4%
(/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im))
42.4%
(/.f64 (neg.f64 x.re) y.im)
46.1%
(/.f64 x.im y.re)
42.3%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re #s(literal -1 binary64))))
30.1%
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re y.im)) #s(literal -1 binary64))
22.0%
(*.f64 (/.f64 y.im (/.f64 y.re x.re)) (/.f64 #s(literal -1 binary64) y.re))
41.8%
(*.f64 y.re (/.f64 (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)) y.im))
35.0%
(*.f64 y.re (/.f64 (neg.f64 x.re) (*.f64 y.im y.re)))
40.8%
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
42.3%
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
47.8%
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.im)))
21.1%
(neg.f64 (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
Compiler

Compiled 682 to 353 computations (48.2% saved)

regimes216.0ms (2%)

Counts
37 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re y.im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 y.im y.re) x.re) y.re)
(/.f64 (/.f64 (*.f64 y.im x.re) y.re) y.re)
(neg.f64 (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(*.f64 y.re (/.f64 (neg.f64 x.re) (*.f64 y.im y.re)))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (/.f64 (neg.f64 (*.f64 y.im x.re)) y.re) y.re)
(*.f64 (/.f64 y.im (/.f64 y.re x.re)) (/.f64 #s(literal -1 binary64) y.re))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(*.f64 y.re (/.f64 (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)) y.im))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.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)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64)))
(*.f64 y.re (-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (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 (*.f64 x.im (/.f64 y.re y.im)) x.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Outputs
(/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.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 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
Calls

5 calls:

56.0ms
x.im
53.0ms
x.re
44.0ms
y.im
38.0ms
y.re
21.0ms
(/.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
74.0%6x.re
79.0%6x.im
84.7%4y.re
86.6%5y.im
80.3%5(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes40.0ms (0.4%)

Counts
33 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re y.im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 y.im y.re) x.re) y.re)
(/.f64 (/.f64 (*.f64 y.im x.re) y.re) y.re)
(neg.f64 (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(*.f64 y.re (/.f64 (neg.f64 x.re) (*.f64 y.im y.re)))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (/.f64 (neg.f64 (*.f64 y.im x.re)) y.re) y.re)
(*.f64 (/.f64 y.im (/.f64 y.re x.re)) (/.f64 #s(literal -1 binary64) y.re))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(*.f64 y.re (/.f64 (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)) y.im))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.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)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64)))
(*.f64 y.re (-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im))))
Outputs
(/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
Calls

1 calls:

37.0ms
y.im
Results
AccuracySegmentsBranch
86.6%5y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes64.0ms (0.6%)

Counts
30 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re y.im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 y.im y.re) x.re) y.re)
(/.f64 (/.f64 (*.f64 y.im x.re) y.re) y.re)
(neg.f64 (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(*.f64 y.re (/.f64 (neg.f64 x.re) (*.f64 y.im y.re)))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (/.f64 (neg.f64 (*.f64 y.im x.re)) y.re) y.re)
(*.f64 (/.f64 y.im (/.f64 y.re x.re)) (/.f64 #s(literal -1 binary64) y.re))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(*.f64 y.re (/.f64 (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)) y.im))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.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)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64)))
(*.f64 y.re (-.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))
(*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im 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))))
Outputs
(/.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)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
Calls

2 calls:

32.0ms
y.im
30.0ms
y.re
Results
AccuracySegmentsBranch
84.7%4y.re
84.1%4y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes40.0ms (0.4%)

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

2 calls:

22.0ms
y.im
16.0ms
y.re
Results
AccuracySegmentsBranch
82.3%3y.im
83.6%4y.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes32.0ms (0.3%)

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

2 calls:

16.0ms
y.im
14.0ms
y.re
Results
AccuracySegmentsBranch
81.9%3y.re
81.9%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes30.0ms (0.3%)

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

2 calls:

16.0ms
y.im
13.0ms
y.re
Results
AccuracySegmentsBranch
81.6%3y.re
81.6%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes26.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re y.im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 y.im y.re) x.re) y.re)
(/.f64 (/.f64 (*.f64 y.im x.re) y.re) y.re)
(neg.f64 (*.f64 y.im (/.f64 (/.f64 x.re y.re) y.re)))
(*.f64 y.re (/.f64 (neg.f64 x.re) (*.f64 y.im y.re)))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) (neg.f64 x.re)) y.re)
(/.f64 (/.f64 (neg.f64 (*.f64 y.im x.re)) y.re) y.re)
(*.f64 (/.f64 y.im (/.f64 y.re x.re)) (/.f64 #s(literal -1 binary64) y.re))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
Outputs
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (neg.f64 x.re) y.im)
Calls

2 calls:

13.0ms
y.re
12.0ms
y.im
Results
AccuracySegmentsBranch
77.4%3y.im
73.2%3y.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes107.0ms (1%)

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

3 calls:

77.0ms
y.re
14.0ms
y.im
14.0ms
x.im
Results
AccuracySegmentsBranch
69.3%3y.re
61.5%7x.im
70.3%3y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes75.0ms (0.7%)

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

4 calls:

71.0ms
x.im
1.0ms
x.re
1.0ms
y.re
1.0ms
y.im
Results
AccuracySegmentsBranch
46.1%1x.im
46.1%1x.re
46.1%1y.re
46.1%1y.im
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch70.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
6.992469556487905e+131
2.5009691473985934e+137
10.0ms
1.5880640738504432e-153
2.478518257886543e-153
23.0ms
-1.0129290837929036e-91
-5.925550454363526e-97
12.0ms
-1.4996196481679662e+80
-6.749343393449699e+79
Results
57.0ms405×256valid
3.0ms26×256infinite
0.0ms256valid
Compiler

Compiled 946 to 602 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-mult, time spent: 13.0ms, 61.0% of total-time
Operation ival-div, time spent: 3.0ms, 14.0% of total-time
Operation ival-sub, time spent: 2.0ms, 9.0% of total-time
Operation ival-add, time spent: 2.0ms, 9.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch76.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
6.992469556487905e+131
2.5009691473985934e+137
10.0ms
1.5880640738504432e-153
2.478518257886543e-153
29.0ms
-1.0129290837929036e-91
-5.925550454363526e-97
12.0ms
-1.4996196481679662e+80
-6.749343393449699e+79
Results
58.0ms404×256valid
3.0ms27×256infinite
0.0ms256valid
Compiler

Compiled 972 to 602 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-mult, time spent: 12.0ms, 59.0% of total-time
Operation ival-div, time spent: 3.0ms, 15.0% of total-time
Operation ival-sub, time spent: 2.0ms, 10.0% of total-time
Operation ival-add, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch67.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
9.973077187394972e+90
3.49015221850292e+97
25.0ms
1.4926251223705013e-47
2.28936841999662e-40
18.0ms
-983657225062.0195
-4201872005.500829
Results
58.0ms391×256valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 834 to 521 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-mult, time spent: 11.0ms, 56.0% of total-time
Operation ival-div, time spent: 4.0ms, 20.0% of total-time
Operation ival-sub, time spent: 2.0ms, 10.0% of total-time
Operation ival-add, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch49.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
26246886.21650235
807158314807932.8
24.0ms
-1.0129290837929036e-91
-5.925550454363526e-97
Results
37.0ms276×256valid
3.0ms11×256infinite
0.0ms256valid
Compiler

Compiled 548 to 359 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-mult, time spent: 8.0ms, 59.0% of total-time
Operation ival-sub, time spent: 2.0ms, 15.0% of total-time
Operation ival-div, time spent: 2.0ms, 15.0% of total-time
Operation ival-add, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch149.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
26246886.21650235
807158314807932.8
125.0ms
-1.0129290837929036e-91
-5.925550454363526e-97
Results
139.0ms273×256valid
2.0ms14×256infinite
0.0ms256valid
Compiler

Compiled 530 to 341 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-mult, time spent: 8.0ms, 59.0% of total-time
Operation ival-sub, time spent: 2.0ms, 15.0% of total-time
Operation ival-div, time spent: 2.0ms, 15.0% of total-time
Operation ival-add, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch48.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
1.8823962860511046e-32
4.668768750986873e-27
19.0ms
-983657225062.0195
-4201872005.500829
Results
42.0ms250×256valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 474 to 305 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-mult, time spent: 7.0ms, 58.0% of total-time
Operation ival-sub, time spent: 2.0ms, 17.0% of total-time
Operation ival-div, time spent: 2.0ms, 17.0% of total-time
Operation ival-add, time spent: 2.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
2.708788132807492e+91
1.6597059792309443e+97
3.0ms
-4.10069619222574e-50
-3.8789617635712714e-50
Results
22.0ms158×256valid
0.0ms256valid
0.0ms256infinite
Compiler

Compiled 256 to 177 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-mult, time spent: 4.0ms, 48.0% of total-time
Operation ival-add, time spent: 2.0ms, 24.0% of total-time
Operation ival-sub, time spent: 1.0ms, 12.0% of total-time
Operation ival-div, time spent: 1.0ms, 12.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch374.0ms (3.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
371.0ms
26246886.21650235
807158314807932.8
3.0ms
-4.10069619222574e-50
-3.8789617635712714e-50
Results
22.0ms159×256valid
0.0ms256valid
Compiler

Compiled 196 to 147 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-mult, time spent: 4.0ms, 54.0% of total-time
Operation ival-sub, time spent: 1.0ms, 13.0% of total-time
Operation ival-div, time spent: 1.0ms, 13.0% of total-time
Operation ival-add, time spent: 1.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify234.0ms (2.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01121414
11511414
21841402
32151402
42321402
52401402
62421402
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 y.im #s(literal -84000000000000003181721036411744113228958847502321649209283723077404735119032320 binary64)) (/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal -5988783586073275/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 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 8680113577089545/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 799999999999999929620444007657854511302822919756205841459690948469420652615210262167679512793696278032855794724798960889386785308672 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 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -92000000000000001604165450560055694883180624341761229153707850265447247017672704 binary64)) (/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal -8537421996899439/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 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 7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 2350000000000000128177106941848020931323883178004572002465625960085219844617674081206193626557773013742777063525879894468911599452160 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.re #s(literal -112000000000 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 8021834716940879/411376139330301510538742295639337626245683966408394965837152256 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.re #s(literal 13999999999999999304621153724861406510890525201588187015797505562249289936557715464155824128 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.im #s(literal -3302638007025703/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 420000000 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -7339195571168229/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 82000000 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.re #s(literal -4300000000 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 5853945614614289/2787593149816327892691964784081045188247552 binary64)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.im #s(literal -8424983333484575/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 980000000000000030930542111395182809467388957584109740228939846985338072686129087931184316416 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -8214358750147461/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 7500000000 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(/.f64 x.im y.re)
Outputs
(if (<=.f64 y.im #s(literal -84000000000000003181721036411744113228958847502321649209283723077404735119032320 binary64)) (/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal -5988783586073275/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 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 8680113577089545/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 799999999999999929620444007657854511302822919756205841459690948469420652615210262167679512793696278032855794724798960889386785308672 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 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -84000000000000003181721036411744113228958847502321649209283723077404735119032320 binary64)) (/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal -5988783586073275/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 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 8680113577089545/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re) (if (<=.f64 y.im #s(literal 799999999999999929620444007657854511302822919756205841459690948469420652615210262167679512793696278032855794724798960889386785308672 binary64)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -84000000000000003181721036411744113228958847502321649209283723077404735119032320 binary64)) (/.f64 (*.f64 (/.f64 (neg.f64 y.im) (hypot.f64 y.re y.im)) x.re) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal -5988783586073275/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 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 8680113577089545/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re) (if (<=.f64 y.im #s(literal 799999999999999929620444007657854511302822919756205841459690948469420652615210262167679512793696278032855794724798960889386785308672 binary64)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -84000000000000003181721036411744113228958847502321649209283723077404735119032320 binary64)) (/.f64 (*.f64 (/.f64 (neg.f64 y.im) (hypot.f64 y.re y.im)) x.re) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal -5988783586073275/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 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 8680113577089545/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re) (if (<=.f64 y.im #s(literal 799999999999999929620444007657854511302822919756205841459690948469420652615210262167679512793696278032855794724798960889386785308672 binary64)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -92000000000000001604165450560055694883180624341761229153707850265447247017672704 binary64)) (/.f64 (*.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))) x.re) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal -8537421996899439/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 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 7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 2350000000000000128177106941848020931323883178004572002465625960085219844617674081206193626557773013742777063525879894468911599452160 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
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(/.f64 x.im y.re)
Compiler

Compiled 378 to 200 computations (47.1% saved)

soundness1.4s (12.7%)

Rules
920×log1p-expm1-u
920×expm1-log1p-u
494×distribute-lft-neg-in
490×fmm-def
434×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032445
1554398
097032635
1247930438
025230
1385194
24625194
034300
1605276
059931088
1157929023
2541428519
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1014 to 459 computations (54.7% saved)

end0.0ms (0%)

preprocess99.0ms (0.9%)

Compiler

Compiled 730 to 226 computations (69% saved)

Profiling

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