_divideComplex, real part

Time bar (total: 9.1s)

analyze135.0ms (1.5%)

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: 117.0ms
Operation ival-mult, time spent: 111.0ms, 95.0% of total-time
Operation ival-add, time spent: 4.0ms, 3.0% of total-time
Operation ival-div, time spent: 2.0ms, 2.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.8s (19.8%)

Results
1.6s7792×256valid
152.0ms463×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 550.0ms
Operation ival-mult, time spent: 364.0ms, 66.0% of total-time
Operation ival-add, time spent: 107.0ms, 19.0% of total-time
Operation ival-div, time spent: 69.0ms, 13.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time
Bogosity

preprocess526.0ms (5.8%)

Algorithm
egg-herbie
Rules
1573×fma-neg
912×fma-define
864×times-frac
552×div-sub
333×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1021(-2.1997437549069546e-152 -8.293395329201424e-88 -3.0362846853242326e+171 -1.5775277486322414e-195)0-(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40-0-(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
00-0-x.im
00-0-y.im
00-0-(*.f64 x.im y.im)
00-0-y.re
00-0-x.re
00-0-(*.f64 y.im y.im)
00-0-(*.f64 x.re y.re)
00-0-(*.f64 y.re y.re)
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070976
1162976
2263976
3486976
41176976
53121976
64441976
75612976
86468976
96875976
107003976
117173976
127627976
137627976
147627976
157627976
167987976
Stop Event
node limit
Calls
Call 1
Inputs
(/.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.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 (neg.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.re y.re) (*.f64 (neg.f64 x.im) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re (neg.f64 y.re)) (*.f64 x.im y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im))))
(neg.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x.re) y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 (neg.f64 x.im) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re (neg.f64 y.re)) (*.f64 x.im y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im (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)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 y.re x.re) (*.f64 x.im y.im)) (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 y.im y.re) (*.f64 x.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 x.re x.re)))
(/.f64 (+.f64 (*.f64 x.re x.im) (*.f64 y.re y.im)) (+.f64 (*.f64 x.im x.im) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))
(/.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) (+.f64 (*.f64 y.im y.im) (*.f64 y.re y.re)))
Outputs
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im 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 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 (neg.f64 x.re) y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re (neg.f64 y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 (neg.f64 x.im) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re (neg.f64 y.re)) (*.f64 x.im y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re (neg.f64 y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im))))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(neg.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x.re) y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 (neg.f64 x.im) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(/.f64 (fma.f64 x.re (neg.f64 y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re (neg.f64 y.re)) (*.f64 x.im y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im))))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im)))))
(/.f64 (fma.f64 x.re (neg.f64 y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (fma.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 (fma.f64 x.re y.im (*.f64 y.re x.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 y.re x.re) (*.f64 x.im y.im)) (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 x.re x.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.im y.im (*.f64 x.re x.re)))
(/.f64 (+.f64 (*.f64 y.im y.re) (*.f64 x.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 x.re x.re)))
(/.f64 (fma.f64 x.re x.im (*.f64 y.re y.im)) (fma.f64 y.re y.re (*.f64 x.re x.re)))
(/.f64 (fma.f64 x.re x.im (*.f64 y.re y.im)) (fma.f64 x.re x.re (*.f64 y.re y.re)))
(/.f64 (+.f64 (*.f64 x.re x.im) (*.f64 y.re y.im)) (+.f64 (*.f64 x.im x.im) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re x.im (*.f64 y.re y.im)) (fma.f64 x.im x.im (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re x.im (*.f64 y.re y.im)) (fma.f64 y.im y.im (*.f64 x.im x.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 x.im x.im)))
(/.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) (+.f64 (*.f64 y.im y.im) (*.f64 y.re y.re)))
(/.f64 (fma.f64 x.re y.im (*.f64 y.re x.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-mult, time spent: 15.0ms, 59.0% of total-time
Operation ival-add, time spent: 6.0ms, 24.0% of total-time
Operation ival-div, time spent: 4.0ms, 16.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
61.0%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
61.0%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 36 to 20 computations (44.4% saved)

localize81.0ms (0.9%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 y.re y.re (*.f64 y.im y.im))
99.2%
(fma.f64 x.re y.re (*.f64 x.im y.im))
61.4%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
98.7%
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
61.4%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 85 to 15 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-mult, time spent: 11.0ms, 35.0% of total-time
Operation composed, time spent: 8.0ms, 25.0% of total-time
Operation ival-add, time spent: 8.0ms, 25.0% of total-time
Operation ival-div, time spent: 4.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series29.0ms (0.3%)

Counts
6 → 240
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))>
#<alt (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))>
#<alt (fma.f64 x.re y.re (*.f64 x.im y.im))>
#<alt (fma.f64 y.re y.re (*.f64 y.im y.im))>
Outputs
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.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.im) (*.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 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.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 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.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 x.re (+.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.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 x.re (+.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re 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.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.im y.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.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.re) (*.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.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.re) (*.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.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.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (*.f64 x.im y.im)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))>
#<alt (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))>
#<alt (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))>
#<alt (*.f64 x.im y.im)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))>
#<alt (*.f64 x.re y.re)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im (+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im)))>
#<alt (*.f64 x.im (+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im)))>
#<alt (*.f64 x.im (+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im)))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) x.im)))))>
#<alt (*.f64 x.re y.re)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
Calls

60 calls:

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

rewrite266.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
822×log1p-expm1-u
822×expm1-log1p-u
503×fma-define
241×fma-neg
218×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022214
1267194
23557194
Stop Event
node limit
Counts
6 → 268
Calls
Call 1
Inputs
(/.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 x.re y.re) (*.f64 x.im y.im))
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(fma.f64 y.re y.re (*.f64 y.im y.im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im 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.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im 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.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im 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.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im 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.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im 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.re y.re (*.f64 x.im y.im)))
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(*.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) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.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 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.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))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 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 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #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)))

simplify244.0ms (2.7%)

Algorithm
egg-herbie
Rules
478×cancel-sign-sub-inv
466×distribute-lft-neg-in
413×distribute-rgt-neg-in
256×fma-neg
234×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053623204
1139521832
2441821712
Stop Event
node limit
Counts
508 → 283
Calls
Call 1
Inputs
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
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(/.f64 (*.f64 x.re 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 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
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(/.f64 (*.f64 x.im y.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.im (+.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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
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(/.f64 x.re y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 x.im y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(*.f64 x.im y.im)
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
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(*.f64 x.re y.re)
(*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))
(*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))
(*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))
(*.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))
(*.f64 x.im y.im)
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
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(*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
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(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))
(*.f64 x.re y.re)
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(*.f64 x.im y.im)
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(*.f64 x.re y.re)
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im y.im) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 (neg.f64 y.im) x.im)) (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64))) (fma.f64 (*.f64 x.im y.im) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 x.re (*.f64 y.re (*.f64 x.im y.im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64))) (fma.f64 x.re y.re (*.f64 (neg.f64 y.im) x.im)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im y.im) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.re y.re (*.f64 (neg.f64 y.im) x.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64))) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))
(pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x.re) y.re) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re))) (pow.f64 (exp.f64 y.im) x.im)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y.im) x.im) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im))) (pow.f64 (exp.f64 x.re) y.re)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re)))))
(cbrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(log1p.f64 (expm1.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(exp.f64 (log.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re y.re (*.f64 x.im 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.im #s(literal 2 binary64)) (pow.f64 y.re #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)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))
(*.f64 (+.f64 (pow.f64 y.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) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.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 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.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))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 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 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #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 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (/.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.im) (*.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 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.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.im) (*.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 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.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.im) (*.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 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.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 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.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 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.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 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
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(fma.f64 x.im y.im (*.f64 y.re x.re))
(expm1.f64 (log1p.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(expm1.f64 (log1p.f64 (fma.f64 x.im y.im (*.f64 y.re x.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(fma.f64 x.im y.im (*.f64 y.re x.re))
(exp.f64 (log.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(fma.f64 x.im y.im (*.f64 y.re x.re))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 1 binary64)))
(fma.f64 x.im y.im (*.f64 y.re x.re))
(+.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.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 (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)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (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 #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 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(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 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(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 (+.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 #s(literal 1 binary64) (/.f64 (+.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 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #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 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 #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 (+.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 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #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 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (+.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 #s(literal 1 binary64) (/.f64 (+.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 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #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 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 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 #s(literal 1 binary64) (/.f64 (+.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 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #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 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.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 #s(literal 1 binary64) (/.f64 (+.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 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #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 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (-.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))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(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 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #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 (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))) (+.f64 #s(literal 1 binary64) (expm1.f64 (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))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (exp.f64 (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))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (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))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (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))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (exp.f64 (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))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (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))
(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))

eval73.0ms (0.8%)

Compiler

Compiled 5694 to 2210 computations (61.2% saved)

prune57.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New27013283
Fresh000
Picked112
Done000
Total27114285
Accuracy
99.8%
Counts
285 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.3%
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
61.0%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.2%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
57.2%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
50.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
46.7%
(/.f64 (+.f64 x.im (-.f64 (*.f64 y.re (/.f64 x.re y.im)) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
53.0%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
52.4%
(/.f64 (*.f64 y.re (fma.f64 x.im (/.f64 y.im y.re) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
41.4%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
35.6%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.6%
(/.f64 x.re y.re)
43.1%
(/.f64 x.im y.im)
71.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
40.7%
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
Compiler

Compiled 397 to 245 computations (38.3% saved)

localize168.0ms (1.8%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
94.3%
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
74.4%
(/.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))
71.1%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
98.8%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
91.4%
(/.f64 (*.f64 x.re y.re) y.im)
100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
99.2%
(fma.f64 x.re y.re (*.f64 x.im y.im))
72.4%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Compiler

Compiled 144 to 35 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
Operation ival-mult, time spent: 27.0ms, 30.0% of total-time
Operation composed, time spent: 24.0ms, 27.0% of total-time
Operation ival-div, time spent: 17.0ms, 19.0% of total-time
Operation ival-pow, time spent: 8.0ms, 9.0% of total-time
Operation ival-add, time spent: 7.0ms, 8.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 6.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series53.0ms (0.6%)

Counts
9 → 285
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))>
#<alt (/.f64 (*.f64 x.re y.re) y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))>
#<alt (*.f64 x.im (/.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 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt x.im>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))>
#<alt (+.f64 x.im (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re))) y.re)) (*.f64 x.im y.im)) y.re)))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))))>
#<alt (+.f64 x.re (*.f64 y.im (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))))>
#<alt x.im>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im))) y.im)) (*.f64 x.re y.re)) y.im)))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
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#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x.im y.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 x.im y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (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 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x.im y.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 x.im y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (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 (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
3.0ms
y.im
@-inf
(/ (* x.re y.re) y.im)
2.0ms
y.im
@0
(/ (* x.re y.re) y.im)
2.0ms
x.re
@0
(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms
y.re
@0
(/ (* x.im y.im) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.im
@0
(/ (* x.im y.im) (+ (* y.re y.re) (* y.im y.im)))

rewrite223.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
986×log1p-expm1-u
204×expm1-log1p-u
199×add-cube-cbrt
198×add-exp-log
198×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032298
1524294
26689294
Stop Event
node limit
Counts
9 → 360
Calls
Call 1
Inputs
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 (*.f64 x.re y.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 x.im (/.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 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.re y.re)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im y.im)))
(+.f64 (*.f64 (*.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (*.f64 (*.f64 x.im y.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re y.re (*.f64 x.im y.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(*.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #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 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))) (log.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.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) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(/.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im 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 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #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.im #s(literal 2 binary64)) (pow.f64 y.re #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)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (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 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.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 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))) (cbrt.f64 (pow.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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (*.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 (hypot.f64 y.re y.im) (cbrt.f64 (pow.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 (+.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 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.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))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 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 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(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)))))
(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)))

simplify471.0ms (5.2%)

Algorithm
egg-herbie
Rules
607×associate-*r*
519×fma-define
348×times-frac
342×*-commutative
278×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124232686
1333831107
Stop Event
node limit
Counts
645 → 762
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))))
(*.f64 #s(literal -1 binary64) x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re)))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re))) y.re)) (*.f64 x.im y.im)) y.re)))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))))
(+.f64 x.re (*.f64 y.im (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im)))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))))
(*.f64 #s(literal -1 binary64) x.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im)))
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im))) y.im)) (*.f64 x.re y.re)) y.im)))
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(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.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 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.im y.im)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x.im y.im) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #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.im #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im 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 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #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.im #s(literal 2 binary64)) (pow.f64 y.re #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)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (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 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.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 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))) (cbrt.f64 (pow.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 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (*.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 (hypot.f64 y.re y.im) (cbrt.f64 (pow.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 (+.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 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.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))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 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 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(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)))))
(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 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 y.re x.re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.re x.re))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re)))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re)))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re)))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 y.re x.re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.re x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re))) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re))) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re))) (neg.f64 x.re))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(fma.f64 y.re (/.f64 x.re y.im) x.im)
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im)
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))))
(fma.f64 y.re (fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im)) x.im)
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))
(+.f64 x.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))))
(+.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (pow.f64 y.re #s(literal 2 binary64))))
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(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #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))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 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.im #s(literal 3 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (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)))
(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.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 (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)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (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 (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 (cbrt.f64 (pow.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.im y.re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.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 2 binary64))) (*.f64 (hypot.f64 y.re y.im) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (hypot.f64 y.im y.re) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))) (cbrt.f64 (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 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 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 (+.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 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (*.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 (hypot.f64 y.re y.im) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (hypot.f64 y.re y.im) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (hypot.f64 y.im y.re) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.im y.re))))
(/.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 (*.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (+.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 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 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 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.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.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (+.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 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.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))
(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)))

eval278.0ms (3.1%)

Compiler

Compiled 16265 to 8004 computations (50.8% saved)

prune319.0ms (3.5%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New81412826
Fresh448
Picked325
Done011
Total82119840
Accuracy
99.9%
Counts
840 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.0%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
54.2%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
57.2%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
53.0%
(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
51.8%
(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) y.im)
41.4%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
35.6%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.6%
(/.f64 x.re y.re)
43.1%
(/.f64 x.im y.im)
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.re y.im) x.im)))
52.9%
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 #s(literal 1 binary64) y.im))
71.3%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
55.5%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
30.3%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
33.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
30.2%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.re))
24.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
32.2%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
40.8%
(*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)
Compiler

Compiled 487 to 313 computations (35.7% saved)

localize283.0ms (3.1%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
93.8%
(*.f64 x.im (/.f64 y.im y.re))
91.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.re))
100.0%
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
99.2%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
92.6%
(/.f64 (*.f64 x.im y.im) y.re)
99.7%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
99.2%
(fma.f64 x.re y.re (*.f64 x.im y.im))
99.2%
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
72.4%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Compiler

Compiled 171 to 47 computations (72.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
Operation ival-div, time spent: 98.0ms, 54.0% of total-time
Operation ival-pow, time spent: 32.0ms, 18.0% of total-time
Operation ival-mult, time spent: 22.0ms, 12.0% of total-time
Operation composed, time spent: 14.0ms, 8.0% of total-time
Operation ival-add, time spent: 6.0ms, 3.0% of total-time
Operation const, time spent: 3.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 1.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series82.0ms (0.9%)

Counts
9 → 318
Calls
Call 1
Inputs
#<alt (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.re))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))>
#<alt (*.f64 x.im (/.f64 y.im y.re))>
#<alt (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))>
Outputs
#<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))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (/.f64 #s(literal 1 binary64) y.im)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) 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 -1/2 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 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.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.im) (*.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 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.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 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.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 x.re (+.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.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 x.re (+.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 y.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt x.re>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
#<alt x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
Calls

93 calls:

TimeVariablePointExpression
37.0ms
y.im
@inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (neg x.re))
3.0ms
y.im
@inf
(pow (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) -1/2) 2)
1.0ms
x.re
@0
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (neg x.re))
1.0ms
y.re
@inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (neg x.re))
1.0ms
x.im
@inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* -1 (+ x.re (* x.im (/ y.im y.re)))))

rewrite213.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
892×log1p-expm1-u
210×associate-*r*
203×expm1-log1p-u
200×add-cube-cbrt
199×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035313
1521271
26853271
Stop Event
node limit
Counts
9 → 369
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 x.im (/.f64 y.im y.re))
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/4 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im)))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.re y.im)))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.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) (fma.f64 x.re y.re (*.f64 y.im x.im)))))
(/.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) #s(literal -1 binary64)) (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 1 binary64)) (hypot.f64 y.re y.im))
(/.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (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 (fma.f64 x.re y.re (*.f64 y.im x.im)) (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 (fma.f64 x.re y.re (*.f64 y.im x.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.re y.re (*.f64 y.im x.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.re y.re (*.f64 y.im 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 (sqrt.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.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.re y.re (*.f64 y.im x.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.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
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(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))) (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.re x.im) (/.f64 y.im y.re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)) (*.f64 x.re (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))) (-.f64 x.re (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(log.f64 (/.f64 (exp.f64 x.re) (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 1 binary64)))
(fma.f64 x.re #s(literal -1 binary64) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re) x.re)
(fma.f64 #s(literal 1 binary64) x.re (*.f64 y.im (/.f64 x.im y.re)))
(fma.f64 #s(literal 1 binary64) x.re (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im (/.f64 x.im y.re)) x.re)
(fma.f64 #s(literal -1 binary64) x.re (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(fma.f64 (/.f64 y.im y.re) x.im x.re)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (/.f64 x.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im (/.f64 x.im y.re))) x.re)
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 y.im (/.f64 x.im y.re)))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(fma.f64 (sqrt.f64 (*.f64 y.im (/.f64 x.im y.re))) (sqrt.f64 (*.f64 y.im (/.f64 x.im y.re))) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 y.im (/.f64 x.im y.re)))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))

simplify369.0ms (4%)

Algorithm
egg-herbie
Rules
644×fma-define
605×associate-*r*
517×associate-*l*
400×times-frac
290×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106932782
1292830964
Stop Event
node limit
Counts
687 → 662
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y.im)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 #s(literal -1 binary64) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))
(/.f64 #s(literal 1 binary64) y.re)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im)
(/.f64 #s(literal -1 binary64) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 x.re y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
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(/.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.re x.im) (/.f64 y.im y.re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)) (*.f64 x.re (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))) (-.f64 x.re (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(log.f64 (/.f64 (exp.f64 x.re) (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 1 binary64)))
(fma.f64 x.re #s(literal -1 binary64) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re) x.re)
(fma.f64 #s(literal 1 binary64) x.re (*.f64 y.im (/.f64 x.im y.re)))
(fma.f64 #s(literal 1 binary64) x.re (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im (/.f64 x.im y.re)) x.re)
(fma.f64 #s(literal -1 binary64) x.re (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(fma.f64 (/.f64 y.im y.re) x.im x.re)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (/.f64 x.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im (/.f64 x.im y.re))) x.re)
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 y.im (/.f64 x.im y.re)))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(fma.f64 (sqrt.f64 (*.f64 y.im (/.f64 x.im y.re))) (sqrt.f64 (*.f64 y.im (/.f64 x.im y.re))) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 y.im (/.f64 x.im y.re)))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
Outputs
(/.f64 #s(literal 1 binary64) y.im)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(fma.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) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.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) (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 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 y.im #s(literal 5 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 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)))))) y.re)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 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)))) #s(literal 1 binary64)) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 #s(literal -1 binary64) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 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)))))) y.re))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 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)))) #s(literal 1 binary64)) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (neg.f64 y.re))
(/.f64 #s(literal 1 binary64) y.re)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 y.re #s(literal 5 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 y.re #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
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(fma.f64 #s(literal 1 binary64) (*.f64 y.im (/.f64 x.im y.re)) x.re)
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 #s(literal -1 binary64) x.re (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(fma.f64 (/.f64 y.im y.re) x.im x.re)
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (/.f64 x.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im (/.f64 x.im y.re))) x.re)
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 y.im (/.f64 x.im y.re)))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 x.im (/.f64 y.im y.re)))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 x.im (neg.f64 (/.f64 y.im y.re))))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 y.im (/.f64 x.im (neg.f64 y.re))))
(fma.f64 (sqrt.f64 (*.f64 y.im (/.f64 x.im y.re))) (sqrt.f64 (*.f64 y.im (/.f64 x.im y.re))) x.re)
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 y.im (/.f64 x.im y.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re))
(-.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(-.f64 x.re (*.f64 y.im (/.f64 x.im y.re)))

eval537.0ms (5.9%)

Compiler

Compiled 25965 to 13478 computations (48.1% saved)

prune246.0ms (2.7%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1146161162
Fresh2911
Picked235
Done123
Total1151301181
Accuracy
99.9%
Counts
1181 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.6%
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re) y.re)
17.6%
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
54.2%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
57.2%
(/.f64 (+.f64 x.re (*.f64 (/.f64 y.im y.re) x.im)) y.re)
54.2%
(/.f64 (+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 y.im x.im))) y.re)
53.0%
(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
51.8%
(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) y.im)
41.4%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
19.6%
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
35.6%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
30.2%
(/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im))
8.7%
(/.f64 (neg.f64 x.re) y.re)
9.1%
(/.f64 (neg.f64 x.im) y.re)
8.8%
(/.f64 x.re (neg.f64 y.im))
46.6%
(/.f64 x.re y.re)
9.1%
(/.f64 x.re y.im)
7.6%
(/.f64 x.im y.re)
43.1%
(/.f64 x.im y.im)
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.re y.im) x.im)))
52.9%
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 #s(literal 1 binary64) y.im))
33.0%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
29.9%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (neg.f64 x.re))
33.0%
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
28.3%
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) (cbrt.f64 (hypot.f64 y.im y.re))) (neg.f64 x.re))
55.5%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
33.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
24.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
32.2%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
57.1%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
40.8%
(*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)
Compiler

Compiled 709 to 476 computations (32.9% saved)

localize157.0ms (1.7%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
94.3%
(*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)
74.4%
(*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
100.0%
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
99.0%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
93.8%
(*.f64 x.im (/.f64 y.im y.re))
98.0%
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
92.6%
(/.f64 (*.f64 x.im y.im) y.re)
100.0%
(+.f64 x.re (*.f64 (/.f64 y.im y.re) x.im))
99.2%
(/.f64 (+.f64 x.re (*.f64 (/.f64 y.im y.re) x.im)) y.re)
93.8%
(*.f64 (/.f64 y.im y.re) x.im)
Compiler

Compiled 129 to 36 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
Operation ival-mult, time spent: 23.0ms, 32.0% of total-time
Operation ival-div, time spent: 16.0ms, 22.0% of total-time
Operation ival-pow, time spent: 16.0ms, 22.0% of total-time
Operation composed, time spent: 9.0ms, 12.0% of total-time
Operation ival-add, time spent: 5.0ms, 7.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 3.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

series24.0ms (0.3%)

Counts
7 → 276
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 y.im y.re) x.im)>
#<alt (/.f64 (+.f64 x.re (*.f64 (/.f64 y.im y.re) x.im)) y.re)>
#<alt (+.f64 x.re (*.f64 (/.f64 y.im y.re) x.im))>
#<alt (/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))>
#<alt (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))>
#<alt (*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)>
Outputs
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt x.re>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
#<alt x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
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#<alt (/.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x.im y.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 x.im y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (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 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x.im y.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 x.im y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (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 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
x.im
@-inf
(* (/ y.im y.re) x.im)
1.0ms
y.re
@0
(* y.im (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) -2))
1.0ms
x.im
@inf
(/ (/ (* x.im y.im) y.re) y.re)
1.0ms
y.im
@0
(/ (/ (* x.im y.im) y.re) y.re)
0.0ms
x.im
@0
(/ (/ (* x.im y.im) y.re) y.re)

rewrite188.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1139×log1p-expm1-u
194×associate-*r*
184×expm1-log1p-u
183×add-cube-cbrt
182×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029229
1485214
26093214
Stop Event
node limit
Counts
7 → 276
Calls
Call 1
Inputs
(*.f64 (/.f64 y.im y.re) x.im)
(/.f64 (+.f64 x.re (*.f64 (/.f64 y.im y.re) x.im)) y.re)
(+.f64 x.re (*.f64 (/.f64 y.im y.re) x.im))
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (/.f64 x.im y.re)))) #s(literal 1 binary64))
(/.f64 x.im (/.f64 y.re y.im))
(/.f64 (*.f64 y.im x.im) y.re)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y.re (*.f64 y.im x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re (*.f64 y.im x.im)) #s(literal 1 binary64)))
(/.f64 (*.f64 y.im (neg.f64 x.im)) (neg.f64 y.re))
(/.f64 (neg.f64 (*.f64 y.im (neg.f64 x.im))) (neg.f64 (neg.f64 y.re)))
(/.f64 (/.f64 (*.f64 y.im x.im) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(/.f64 (/.f64 (*.f64 y.im x.im) #s(literal 1 binary64)) y.re)
(/.f64 (/.f64 (*.f64 y.im x.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (/.f64 x.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (/.f64 x.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 y.im x.im)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 y.im x.im) (neg.f64 y.re)))
(sqrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y.im (/.f64 x.im y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (/.f64 x.im y.re)))))
(cbrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.im (/.f64 x.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 y.im (/.f64 x.im y.re))))
(exp.f64 (log.f64 (*.f64 y.im (/.f64 x.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (/.f64 x.im y.re))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.re)) (*.f64 (/.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 y.im x.im) (neg.f64 y.re))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.re (/.f64 #s(literal 1 binary64) y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal -1 binary64))
(*.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (fma.f64 (/.f64 y.im y.re) x.im x.re))
(*.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (/.f64 #s(literal -1 binary64) y.re))
(*.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) y.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) y.re))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (neg.f64 y.re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y.re)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (/.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) y.re))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (*.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (/.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (neg.f64 y.re)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) (sqrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (fma.f64 (/.f64 y.im y.re) x.im x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (sqrt.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.re)) (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) y.re))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (cbrt.f64 y.re)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y.re) (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)))
(*.f64 (*.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1 binary64) y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (*.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (sqrt.f64 (/.f64 #s(literal -1 binary64) y.re))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y.re)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 1 binary64)) (fma.f64 (/.f64 y.im y.re) x.im x.re))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) (sqrt.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)))
(pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y.re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y.re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
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(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 #s(literal 1 binary64) y.re)))
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(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.re (/.f64 #s(literal 1 binary64) y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y.re (fma.f64 (/.f64 y.im y.re) x.im x.re))))
(/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)
(/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (neg.f64 y.re))
(/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (*.f64 y.re #s(literal -1 binary64)))
(/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (neg.f64 (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 (/.f64 y.im y.re) x.im x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 y.re (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64))) (*.f64 y.re (-.f64 x.re (*.f64 y.im (/.f64 x.im y.re)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))) y.re))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x.re (*.f64 y.im (/.f64 x.im y.re))) y.re))
(/.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64)))) (-.f64 x.re (*.f64 y.im (/.f64 x.im y.re))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y.re)) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)) (-.f64 x.re (*.f64 y.im (/.f64 x.im y.re))))
(/.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 1 binary64)) y.re)
(/.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y.re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y.re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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 y.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64))))
(log.f64 (pow.f64 (exp.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 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (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 y.im #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 y.im 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.im 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.im 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 (sqrt.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #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.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify326.0ms (3.6%)

Algorithm
egg-herbie
Rules
841×fma-neg
424×associate-*r*
365×associate-*l*
319×*-commutative
292×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077223524
1196822243
2724122189
Stop Event
node limit
Counts
552 → 432
Calls
Call 1
Inputs
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 x.re y.re)
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))
(/.f64 x.re y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))
(*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))
(*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))
(*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(/.f64 x.re y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (*.f64 x.im y.im) y.re)
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
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(+.f64 (*.f64 (neg.f64 x.re) (/.f64 #s(literal -1 binary64) y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.re (/.f64 #s(literal 1 binary64) y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y.re (fma.f64 (/.f64 y.im y.re) x.im x.re))))
(/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)
(/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (neg.f64 y.re))
(/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (*.f64 y.re #s(literal -1 binary64)))
(/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (neg.f64 (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 (/.f64 y.im y.re) x.im x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 y.re (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64))) (*.f64 y.re (-.f64 x.re (*.f64 y.im (/.f64 x.im y.re)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))) y.re))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x.re (*.f64 y.im (/.f64 x.im y.re))) y.re))
(/.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64)))) (-.f64 x.re (*.f64 y.im (/.f64 x.im y.re))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y.re)) (fma.f64 x.re x.re (*.f64 (*.f64 y.im (/.f64 x.im y.re)) (-.f64 (*.f64 y.im (/.f64 x.im y.re)) x.re))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (/.f64 x.im y.re)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)) (-.f64 x.re (*.f64 y.im (/.f64 x.im y.re))))
(/.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 1 binary64)) y.re)
(/.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (fma.f64 (/.f64 y.im y.re) x.im x.re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y.re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y.re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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 y.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64))))
(log.f64 (pow.f64 (exp.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 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (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 y.im #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 y.im 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.im 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.im 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 (sqrt.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #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.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 x.re y.re)
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (/.f64 #s(literal 1 binary64) y.re)))
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 (neg.f64 x.re) (-.f64 (neg.f64 (*.f64 x.im (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (neg.f64 (fma.f64 x.im (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 (neg.f64 x.re) (-.f64 (neg.f64 (*.f64 x.im (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (neg.f64 (fma.f64 x.im (/.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 x.re))
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(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #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))))
(*.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 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.im #s(literal 3 binary64))))
(*.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 y.im (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))

eval136.0ms (1.5%)

Compiler

Compiled 8112 to 3695 computations (54.5% saved)

prune153.0ms (1.7%)

Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New4975502
Fresh31720
Picked145
Done145
Total50230532
Accuracy
99.9%
Counts
532 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.6%
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re) y.re)
17.6%
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
54.2%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
57.2%
(/.f64 (+.f64 x.re (*.f64 (/.f64 y.im y.re) x.im)) y.re)
53.0%
(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
51.8%
(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) y.im)
19.6%
(/.f64 (*.f64 (/.f64 y.im y.re) x.im) y.re)
17.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 y.im x.im)) y.re)
41.4%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
20.4%
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im (/.f64 x.im y.re)) (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
30.2%
(/.f64 (neg.f64 x.re) (hypot.f64 y.re y.im))
8.7%
(/.f64 (neg.f64 x.re) y.re)
9.1%
(/.f64 (neg.f64 x.im) y.re)
8.8%
(/.f64 x.re (neg.f64 y.im))
46.6%
(/.f64 x.re y.re)
9.1%
(/.f64 x.re y.im)
7.6%
(/.f64 x.im y.re)
43.1%
(/.f64 x.im y.im)
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.re y.im) x.im)))
52.9%
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 #s(literal 1 binary64) y.im))
33.0%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
29.9%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (neg.f64 x.re))
28.3%
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) (cbrt.f64 (hypot.f64 y.im y.re))) (neg.f64 x.re))
55.5%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
20.4%
(*.f64 (/.f64 y.im y.re) (/.f64 x.im y.re))
33.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
24.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
32.2%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
40.8%
(*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)
16.7%
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
Compiler

Compiled 853 to 420 computations (50.8% saved)

regimes225.0ms (2.5%)

Counts
48 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.im))
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
(*.f64 (/.f64 y.im y.re) (/.f64 x.im y.re))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) x.im) y.re)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 y.im x.im)) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) y.im)
(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (*.f64 (/.f64 y.im y.re) x.im)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 y.im x.im))) y.re)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re) y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im 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 (neg.f64 x.re) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.re))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.re y.im) x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(/.f64 (*.f64 y.re (fma.f64 x.im (/.f64 y.im y.re) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (-.f64 (*.f64 y.re (/.f64 x.re y.im)) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (neg.f64 x.re))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im (/.f64 x.im y.re)) (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) (cbrt.f64 (hypot.f64 y.im y.re))) (neg.f64 x.re))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
Calls

5 calls:

57.0ms
x.re
54.0ms
y.im
53.0ms
y.re
36.0ms
x.im
21.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
AccuracySegmentsBranch
82.5%5x.re
80.1%3x.im
90.6%5y.re
87.3%5y.im
84.0%2(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes46.0ms (0.5%)

Counts
42 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.im))
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
(*.f64 (/.f64 y.im y.re) (/.f64 x.im y.re))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
(/.f64 (*.f64 (/.f64 y.im y.re) x.im) y.re)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 y.im x.im)) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) y.im)
(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (*.f64 (/.f64 y.im y.re) x.im)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 y.im x.im))) y.re)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re) y.re)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im 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 (neg.f64 x.re) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.re))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.re y.im) x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(/.f64 (*.f64 y.re (fma.f64 x.im (/.f64 y.im y.re) x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (-.f64 (*.f64 y.re (/.f64 x.re y.im)) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (neg.f64 x.re))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im (/.f64 x.im y.re)) (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im 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 x.im (*.f64 x.re (/.f64 y.re y.im))) 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 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
Calls

1 calls:

43.0ms
y.re
Results
AccuracySegmentsBranch
88.7%5y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes53.0ms (0.6%)

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

2 calls:

32.0ms
y.re
19.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
AccuracySegmentsBranch
76.5%3(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
88.6%5y.re
Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes25.0ms (0.3%)

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

1 calls:

23.0ms
y.re
Results
AccuracySegmentsBranch
85.0%3y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes72.0ms (0.8%)

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

4 calls:

21.0ms
x.im
18.0ms
x.re
17.0ms
y.re
14.0ms
y.im
Results
AccuracySegmentsBranch
65.3%7x.re
66.1%5x.im
76.4%5y.im
78.0%3y.re
Compiler

Compiled 20 to 16 computations (20% saved)

regimes25.0ms (0.3%)

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

2 calls:

13.0ms
y.im
11.0ms
y.re
Results
AccuracySegmentsBranch
69.8%3y.im
72.8%5y.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Accuracy

Total -25.4b remaining (-69.8%)

Threshold costs -25.4b (-69.8%)

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

4 calls:

2.0ms
y.im
2.0ms
x.im
2.0ms
y.re
2.0ms
x.re
Results
AccuracySegmentsBranch
43.1%1x.re
43.1%1x.im
43.1%1y.re
43.1%1y.im
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch99.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.472756498897308e+107
2.1877984380858152e+108
24.0ms
2.998910553289454e-32
2.1001472628119228e-26
30.0ms
-1.6419562997829565e-111
-1.081892798953047e-142
22.0ms
-1.3980525247832e+68
-1.1731875628777942e+64
Results
77.0ms518×256valid
3.0ms25×256infinite
0.0ms256valid
Compiler

Compiled 1264 to 771 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-mult, time spent: 17.0ms, 54.0% of total-time
Operation ival-add, time spent: 8.0ms, 25.0% of total-time
Operation ival-div, time spent: 6.0ms, 19.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch93.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
3.472756498897308e+107
2.1877984380858152e+108
17.0ms
0.0004480374775396092
0.002544317326562652
31.0ms
-1.6419562997829565e-111
-1.081892798953047e-142
24.0ms
-1.48707981278677e+74
-2.1437949343248212e+68
Results
73.0ms480×256valid
4.0ms31×256infinite
0.0ms256valid
Compiler

Compiled 1168 to 734 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-mult, time spent: 18.0ms, 63.0% of total-time
Operation ival-add, time spent: 6.0ms, 21.0% of total-time
Operation ival-div, time spent: 4.0ms, 14.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch87.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.472756498897308e+107
2.1877984380858152e+108
15.0ms
0.0004480374775396092
0.002544317326562652
29.0ms
-1.6419562997829565e-111
-1.081892798953047e-142
26.0ms
-3.030325083355166e+137
-5.751615859158581e+127
Results
71.0ms496×256valid
4.0ms31×256infinite
0.0ms256valid
Compiler

Compiled 1148 to 710 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
Operation ival-mult, time spent: 15.0ms, 58.0% of total-time
Operation ival-add, time spent: 6.0ms, 23.0% of total-time
Operation ival-div, time spent: 4.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch24.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
0.0053394500454816245
42688.753574549926
0.0ms
-1.7280065968928292e-20
-1.7127582982115645e-20
Results
20.0ms143×256valid
0.0ms256valid
Compiler

Compiled 278 to 179 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-mult, time spent: 4.0ms, 49.0% of total-time
Operation ival-div, time spent: 2.0ms, 25.0% of total-time
Operation ival-add, time spent: 2.0ms, 25.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch24.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
0.0053394500454816245
42688.753574549926
0.0ms
-1.7280065968928292e-20
-1.7127582982115645e-20
Results
20.0ms143×256valid
0.0ms256valid
Compiler

Compiled 224 to 152 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-mult, time spent: 4.0ms, 57.0% of total-time
Operation ival-add, time spent: 2.0ms, 29.0% of total-time
Operation ival-div, time spent: 1.0ms, 14.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
18803405883215815000.0
2.492920220270996e+19
23.0ms
-1.635635347522913e+23
-1141193456754555400.0
Results
29.0ms191×256valid
0.0ms256valid
Compiler

Compiled 218 to 161 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-mult, time spent: 6.0ms, 63.0% of total-time
Operation ival-add, time spent: 2.0ms, 21.0% of total-time
Operation ival-div, time spent: 1.0ms, 11.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify30.0ms (0.3%)

Algorithm
egg-herbie
Rules
18×*-commutative
14×+-commutative
12×neg-sub0
11×sub-neg
11×neg-mul-1
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0911213
11201213
21291213
31491213
41701213
51871205
62001205
72031205
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 y.re #s(literal -134999999999999995424598215888738694921877165768131867569279100518400 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))) (if (<=.f64 y.re #s(literal -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (if (<=.f64 y.re #s(literal 5663318844657249/182687704666362864775460604089535377456991567872 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 429999999999999996367724088634219242860635761328517837495618400133497561141157932100622449164218494342922240 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -53000000000000000012927276056327315790526275835492704595617332781383680 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))) (if (<=.f64 y.re #s(literal -1424579592556401/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 4242751136953197/9223372036854775808 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 429999999999999996367724088634219242860635761328517837495618400133497561141157932100622449164218494342922240 binary64)) (/.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 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -116000000000000008720240482316112200786685771464879352764017455873500847328120163741086767727339932109678850784506893053894590464 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -4763410263543689/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 4150517416584649/9223372036854775808 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 520000000000000022894287790177753170218087816578715077102743059500491942924583983659441767912123359708577792 binary64)) (/.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 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -2857840190937569/166153499473114484112975882535043072 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 800 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -2857840190937569/166153499473114484112975882535043072 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 39000 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.im #s(literal -105000000000000000000 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 24000000000000000000 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(/.f64 x.im y.im)
Outputs
(if (<=.f64 y.re #s(literal -134999999999999995424598215888738694921877165768131867569279100518400 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))) (if (<=.f64 y.re #s(literal -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (if (<=.f64 y.re #s(literal 5663318844657249/182687704666362864775460604089535377456991567872 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 429999999999999996367724088634219242860635761328517837495618400133497561141157932100622449164218494342922240 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -134999999999999995424598215888738694921877165768131867569279100518400 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))) (if (<=.f64 y.re #s(literal -6814113040271315/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (if (<=.f64 y.re #s(literal 5663318844657249/182687704666362864775460604089535377456991567872 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 429999999999999996367724088634219242860635761328517837495618400133497561141157932100622449164218494342922240 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))))
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(/.f64 x.im y.im)
Compiler

Compiled 323 to 156 computations (51.7% saved)

soundness719.0ms (7.9%)

Rules
822×log1p-expm1-u
822×expm1-log1p-u
607×associate-*r*
519×fma-define
503×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053623204
1139521832
2441821712
022214
1267194
23557194
0124232686
1333831107
Stop Event
node limit
node limit
node limit
Compiler

Compiled 318 to 103 computations (67.6% saved)

end0.0ms (0%)

preprocess97.0ms (1.1%)

Compiler

Compiled 636 to 208 computations (67.3% saved)

Profiling

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