_divideComplex, real part

Time bar (total: 14.5s)

analyze36.0ms (0.2%)

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: 16.0ms
ival-mult: 11.0ms (70.1% of total)
ival-add: 3.0ms (19.1% of total)
ival-div: 2.0ms (12.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (11.1%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 568.0ms
ival-mult: 297.0ms (52.3% of total)
ival-add: 207.0ms (36.5% of total)
ival-div: 55.0ms (9.7% of total)
const: 8.0ms (1.4% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess404.0ms (2.8%)

Algorithm
egg-herbie
Rules
1573×fma-neg
912×fma-define
864×times-frac
552×div-sub
333×unsub-neg
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)))

explain125.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
991(-5.267361195041125e+86 1.4668047444667264e-289 -8.945134068634421e-95 -5.003645582582688e+157)2(-4.777822104901598e-39 -4.0696476707366636e+269 4.135832661872605e-159 -3.268848528889178e-279)(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
20-0-(+.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))
Results
90.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-add: 20.0ms (38.5% of total)
ival-div: 15.0ms (28.9% of total)
ival-mult: 15.0ms (28.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
63.3%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
63.3%
(/.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)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y.re y.re (*.f64 y.im y.im))
cost-diff0
(*.f64 x.im y.im)
cost-diff0
(fma.f64 x.re y.re (*.f64 x.im y.im))
cost-diff0
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
cost-diff0
(*.f64 y.im y.im)
cost-diff0
(*.f64 y.re y.re)
cost-diff0
(*.f64 x.im y.im)
cost-diff0
(*.f64 x.re y.re)
Rules
fma-define
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022336
126336
230336
Stop Event
saturated
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 x.re y.re)
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
(/.f64 (fma.f64 x.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))
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
(fma.f64 y.re y.re (*.f64 y.im y.im))
(*.f64 y.im y.im)
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 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(*.f64 x.re y.re)
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(fma.f64 y.im y.im (*.f64 y.re y.re))
(*.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 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
(fma.f64 y.re y.re (*.f64 y.im y.im))
(fma.f64 y.im y.im (*.f64 y.re y.re))
(*.f64 y.im y.im)

localize106.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y.im y.im)
accuracy100.0%
(*.f64 x.im y.im)
accuracy99.6%
(fma.f64 x.re y.re (*.f64 x.im y.im))
accuracy63.7%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
accuracy100.0%
(*.f64 x.im y.im)
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
accuracy99.3%
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
accuracy63.7%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
87.0ms256×0valid
Compiler

Compiled 85 to 15 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (41.1% of total)
ival-fma: 5.0ms (25.7% of total)
ival-div: 3.0ms (15.4% of total)
ival-add: 3.0ms (15.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series241.0ms (1.7%)

Counts
10 → 264
Calls
Call 1
Inputs
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 y.re y.re)>
#<alt (*.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))>
#<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))>
Outputs
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (/.f64 (*.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)))))>
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#<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)>
#<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 (*.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

78 calls:

TimeVariablePointExpression
206.0ms
x.re
@0
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
2.0ms
y.im
@inf
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
y.re
@0
(* y.re y.re)
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)))

rewrite293.0ms (2%)

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
022260
1267240
23561240
Stop Event
node limit
Counts
10 → 322
Calls
Call 1
Inputs
(*.f64 x.re y.re)
(*.f64 x.im y.im)
(*.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))
(/.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))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re y.re)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.re)))
(exp.f64 (log.f64 (*.f64 x.re y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im y.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.im y.im)))
(exp.f64 (log.f64 (*.f64 x.im y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y.re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))
(-.f64 (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)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (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 (/.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 (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))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (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 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.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))) (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))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.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 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 (/.f64 (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))
(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 3 binary64))
(pow.f64 (pow.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 3 binary64)) #s(literal 1/3 binary64))
(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))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (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 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (pow.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)))
(log.f64 (exp.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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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))))))
(cbrt.f64 (pow.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 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re y.re (*.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 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.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)))))
(exp.f64 (log.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)))))
(exp.f64 (*.f64 (log.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 (*.f64 x.re y.re) (*.f64 x.im y.im))
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 (neg.f64 y.im) x.im))) (/.f64 (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 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re y.re (*.f64 x.im y.im)))
(*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im 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)) (cbrt.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))) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(*.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 #s(literal 1 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 2 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re y.re (*.f64 (neg.f64 y.im) x.im))))
(/.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)))
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(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)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 x.im y.im))
(fma.f64 (*.f64 x.re y.re) #s(literal 1 binary64) (*.f64 x.im y.im))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(fma.f64 y.im x.im (*.f64 x.re y.re))
(fma.f64 (*.f64 x.im y.im) #s(literal 1 binary64) (*.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re y.re) (*.f64 x.im y.im))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im y.im) (*.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) x.re) (*.f64 x.im y.im))
(fma.f64 (cbrt.f64 (*.f64 x.re y.re)) (pow.f64 (cbrt.f64 (*.f64 x.re y.re)) #s(literal 2 binary64)) (*.f64 x.im y.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re y.re)) (*.f64 x.im y.im))
(fma.f64 (cbrt.f64 (*.f64 x.im y.im)) (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im y.im)) (*.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) x.im) (*.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) y.re) (*.f64 x.im y.im))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) y.im) (*.f64 x.re y.re))
(fma.f64 (sqrt.f64 (*.f64 x.re y.re)) (sqrt.f64 (*.f64 x.re y.re)) (*.f64 x.im y.im))
(fma.f64 (sqrt.f64 (*.f64 x.im y.im)) (sqrt.f64 (*.f64 x.im y.im)) (*.f64 x.re y.re))
(fma.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) y.re) (*.f64 x.im y.im))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) x.im) (*.f64 x.re y.re))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) y.im) (*.f64 x.re y.re))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) x.re) (*.f64 x.im y.im))
(fma.f64 (*.f64 x.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (*.f64 x.im y.im))
(fma.f64 (*.f64 x.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (*.f64 x.im y.im))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 x.im y.im))
(fma.f64 (*.f64 y.re (sqrt.f64 x.re)) (sqrt.f64 x.re) (*.f64 x.im y.im))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (*.f64 x.re y.re))
(fma.f64 (*.f64 x.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (*.f64 x.re y.re))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re y.re))
(fma.f64 (*.f64 y.im (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.re))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))
(*.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(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)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))

simplify347.0ms (2.4%)

Algorithm
egg-herbie
Rules
592×cancel-sign-sub-inv
532×distribute-lft-neg-in
474×distribute-rgt-neg-in
338×fma-neg
254×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060824150
1150622778
2482222658
Stop Event
node limit
Counts
586 → 338
Calls
Call 1
Inputs
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(/.f64 (*.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)))))
(+.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) (+.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 x.re y.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 (+.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 (+.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 (+.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 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.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 #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 #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.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)
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(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(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)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
Outputs
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (pow.f64 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 (/.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 y.im x.im) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #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 y.im x.im) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #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 y.im x.im) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #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.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #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.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.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.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.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.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.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.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #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.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.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.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.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.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.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 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.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))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 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))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.im (pow.f64 y.im #s(literal 3 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))
(fma.f64 y.re (fma.f64 y.re (-.f64 (neg.f64 (/.f64 (*.f64 y.re x.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))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 (neg.f64 (*.f64 y.re x.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))
(fma.f64 y.re (fma.f64 y.re (-.f64 (*.f64 y.re (neg.f64 (/.f64 x.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)
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(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))

eval44.0ms (0.3%)

Compiler

Compiled 6985 to 1205 computations (82.7% saved)

prune73.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New35214366
Fresh000
Picked112
Done000
Total35315368
Accuracy
100.0%
Counts
368 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.5%
(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))
54.8%
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
52.8%
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
63.3%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
51.3%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
53.1%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
54.8%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
40.3%
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))
39.9%
(/.f64 x.re y.re)
41.3%
(/.f64 x.im y.im)
48.2%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
49.9%
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
75.0%
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
40.6%
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
54.3%
(*.f64 x.im (+.f64 (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re (/.f64 y.re x.im)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
Compiler

Compiled 433 to 255 computations (41.1% saved)

simplify21.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y.re #s(literal 2 binary64))
cost-diff0
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
cost-diff0
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
cost-diff0
(/.f64 x.re y.re)
cost-diff0
(/.f64 y.re y.im)
cost-diff0
(fma.f64 x.re (/.f64 y.re y.im) x.im)
cost-diff0
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
cost-diff-6272
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
cost-diff-6272
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
cost-diff0
(*.f64 x.re y.re)
cost-diff0
(/.f64 (*.f64 x.re y.re) y.im)
cost-diff0
(/.f64 x.im y.im)
cost-diff0
(cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))
cost-diff0
(pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im))
cost-diff26112
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
Rules
14×fma-define
12×*-commutative
10×associate-*r/
associate-/l*
associate-*l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035711
155707
283661
3123654
4135654
5136654
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.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)) (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)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
#s(literal 2 binary64)
(hypot.f64 y.re y.im)
(/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im))
(/.f64 x.im y.im)
x.im
y.im
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
x.im
(/.f64 (*.f64 x.re y.re) y.im)
(*.f64 x.re y.re)
x.re
y.re
y.im
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(fma.f64 x.re (/.f64 y.re y.im) x.im)
x.re
(/.f64 y.re y.im)
y.re
y.im
x.im
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 x.re y.re)
x.re
y.re
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
x.im
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
y.im
(pow.f64 y.re #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.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 (/.f64 (cbrt.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 (/.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.im (*.f64 x.re y.re))) #s(literal 2 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))
(pow.f64 (cbrt.f64 (fma.f64 x.im y.im (*.f64 x.re y.re))) #s(literal 2 binary64))
(cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))
(cbrt.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(fma.f64 x.im y.im (*.f64 x.re y.re))
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
#s(literal 2 binary64)
(hypot.f64 y.re y.im)
(/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im))
(/.f64 (cbrt.f64 (fma.f64 x.im y.im (*.f64 x.re y.re))) (hypot.f64 y.re y.im))
(/.f64 x.im y.im)
x.im
y.im
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
x.im
(/.f64 (*.f64 x.re y.re) y.im)
(*.f64 x.re (/.f64 y.re y.im))
(*.f64 x.re y.re)
x.re
y.re
y.im
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(fma.f64 x.re (/.f64 y.re y.im) x.im)
x.re
(/.f64 y.re y.im)
y.re
y.im
x.im
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(/.f64 x.re y.re)
x.re
y.re
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
x.im
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
y.im
(pow.f64 y.re #s(literal 2 binary64))
#s(literal 2 binary64)

localize205.0ms (1.4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x.re y.re)
accuracy95.5%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
accuracy88.4%
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
accuracy87.9%
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
accuracy100.0%
(/.f64 y.re y.im)
accuracy99.6%
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
accuracy95.1%
(fma.f64 x.re (/.f64 y.re y.im) x.im)
accuracy100.0%
(*.f64 x.re y.re)
accuracy100.0%
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
accuracy99.6%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
accuracy91.8%
(/.f64 (*.f64 x.re y.re) y.im)
accuracy100.0%
(/.f64 x.im y.im)
accuracy99.6%
(fma.f64 x.re y.re (*.f64 x.im y.im))
accuracy99.2%
(pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64))
accuracy95.9%
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im))
accuracy75.8%
(cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))
Results
164.0ms256×0valid
Compiler

Compiled 175 to 27 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-hypot: 77.0ms (60.4% of total)
ival-div: 15.0ms (11.8% of total)
ival-fma: 13.0ms (10.2% of total)
ival-mult: 12.0ms (9.4% of total)
ival-pow: 6.0ms (4.7% of total)
ival-add: 2.0ms (1.6% of total)
ival-cbrt: 2.0ms (1.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series177.0ms (1.2%)

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

153 calls:

TimeVariablePointExpression
9.0ms
y.re
@inf
(cbrt (+ (* x.re y.re) (* x.im y.im)))
7.0ms
x.re
@inf
(/ (pow (cbrt (+ (* x.re y.re) (* x.im y.im))) 2) (sqrt (+ (* y.re y.re) (* y.im y.im))))
7.0ms
x.im
@inf
(/ (pow (cbrt (+ (* x.re y.re) (* x.im y.im))) 2) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms
y.im
@inf
(pow (cbrt (+ (* x.re y.re) (* x.im y.im))) 2)
6.0ms
y.re
@-inf
(pow (cbrt (+ (* x.re y.re) (* x.im y.im))) 2)

rewrite221.0ms (1.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
035476
1583460
Stop Event
node limit
Counts
16 → 538
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.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)) (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 x.im 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 x.im (/.f64 (*.f64 x.re y.re) y.im))
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(/.f64 y.re y.im)
(/.f64 x.re y.re)
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 y.re #s(literal 2 binary64))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
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)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (*.f64 (/.f64 (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))) (hypot.f64 y.re y.im)))
(/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (*.f64 (hypot.f64 y.re y.im) (/.f64 (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)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (cbrt.f64 (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 (/.f64 (hypot.f64 y.re y.im) (cbrt.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)) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) (/.f64 (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))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (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))) (/.f64 (hypot.f64 y.re y.im) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (/.f64 (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)))))
(/.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))))
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(expm1.f64 (log1p.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(exp.f64 (log.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(fma.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) x.im (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) (/.f64 x.re y.re))
(fma.f64 (sqrt.f64 (/.f64 x.re y.re)) (sqrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) y.re) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) y.re) (/.f64 x.re y.re))

simplify911.0ms (6.3%)

Algorithm
egg-herbie
Rules
728×times-frac
315×associate-*r*
313×+-commutative
247×neg-sub0
223×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02389154618885152
15802154618883922
Stop Event
node limit
Counts
988 → 1088
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)))))
(+.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) (+.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 x.re y.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 (+.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 (+.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 (+.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 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.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 #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 #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.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 (*.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) (+.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) (+.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) (+.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 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.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)))))))
(*.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)))))))
(*.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)))))))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.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)))))))))
(*.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)))))))))
(*.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)))))))))
(/.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 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) #s(literal 1/9 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 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (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 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (*.f64 (*.f64 x.re (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 16 binary64)) (pow.f64 y.im #s(literal 16 binary64)))) #s(literal 1/9 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (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 2/3 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) #s(literal 1/9 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 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (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 (+.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) #s(literal 1/9 binary64)) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (*.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal 8/27 binary64) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) #s(literal 1/9 binary64)) (*.f64 y.re (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 16 binary64)) (pow.f64 y.im #s(literal 16 binary64)))) #s(literal 1/9 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))) (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 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (*.f64 (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 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 16 binary64)) (pow.f64 y.im #s(literal 16 binary64)))) #s(literal 1/9 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
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(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) y.re) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) y.re) (/.f64 x.re y.re))
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 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.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 x.re (/.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 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.im y.im) (*.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 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.im y.im) (*.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 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.im y.im) (*.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 x.re (/.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 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (+.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 x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x.re) (-.f64 (/.f64 (neg.f64 y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.im y.im) (*.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 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (+.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 x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x.re) (-.f64 (/.f64 (neg.f64 y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.im y.im) (*.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 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (+.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 x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x.re) (-.f64 (/.f64 (neg.f64 y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.im y.im) (*.f64 x.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))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 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))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 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))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 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))
(fma.f64 y.re (fma.f64 y.re (-.f64 (neg.f64 (*.f64 x.re (/.f64 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 x.im (/.f64 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 x.re (fma.f64 #s(literal -1 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)))) y.re)
(/.f64 (+.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) 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 (+.f64 x.re (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (*.f64 x.re (/.f64 (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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))) y.re))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) 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 (*.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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) y.re)) 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 (*.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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 (neg.f64 x.re) (pow.f64 y.im #s(literal 2 binary64)))) y.re) (*.f64 x.im y.im)) y.re))) y.re))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x.im y.im) (/.f64 (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) y.re)) y.re)) x.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))))
(*.f64 x.re (/.f64 y.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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.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)))))))
(*.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 (*.f64 x.re y.re) x.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re x.im) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.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)))))))
(*.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 (*.f64 x.re y.re) x.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re x.im) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.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)))))))
(*.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 (*.f64 x.re y.re) x.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
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(*.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 x.re x.im) y.im) (pow.f64 y.re #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 x.re (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 x.re x.im) y.im) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))) (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 x.re (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 3 binary64))))))
(*.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 x.re x.im) y.im) (pow.f64 y.re #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (/.f64 (*.f64 x.re (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 x.re (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x.re x.im) y.im) (pow.f64 y.re #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))))
(/.f64 (+.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (*.f64 y.re (*.f64 x.im y.im))) (pow.f64 y.re #s(literal 3 binary64)))
(/.f64 (fma.f64 x.re (pow.f64 y.re #s(literal 2 binary64)) (*.f64 y.re (*.f64 x.im y.im))) (pow.f64 y.re #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (/.f64 y.re x.re) (*.f64 x.im y.im))) (*.f64 (/.f64 y.re x.re) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (/.f64 y.re x.re) (*.f64 x.im y.im))) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) x.re))
(/.f64 (+.f64 (*.f64 (neg.f64 x.re) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (neg.f64 y.re) (*.f64 x.im y.im))) (*.f64 (neg.f64 y.re) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 x.re) (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 y.re) x.im) y.im)) (neg.f64 (pow.f64 y.re #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 y.re) (*.f64 x.im y.im)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (neg.f64 (pow.f64 y.re #s(literal 3 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x.im y.im) y.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (pow.f64 y.re #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 x.im y.im) y.re (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (pow.f64 y.re #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 x.im y.im) (/.f64 y.re x.re)) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (/.f64 y.re x.re)))
(/.f64 (fma.f64 (*.f64 x.im y.im) (/.f64 y.re x.re) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) x.re))
(/.f64 (+.f64 (*.f64 (*.f64 x.im y.im) (neg.f64 y.re)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 x.re))) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.re)))
(/.f64 (fma.f64 (*.f64 x.im y.im) (neg.f64 y.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 x.re))) (neg.f64 (pow.f64 y.re #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im y.im) (neg.f64 y.re)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (neg.f64 (pow.f64 y.re #s(literal 3 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 x.re (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 x.re x.im) y.im) (pow.f64 y.re #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re)))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re (neg.f64 y.re))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (fma.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal -2 binary64)) (/.f64 (neg.f64 x.re) y.re)))
(pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 1 binary64))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 3 binary64))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(pow.f64 (pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(pow.f64 (sqrt.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 2 binary64))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)))
(log.f64 (exp.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)))))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(cbrt.f64 (pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 3 binary64)))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(expm1.f64 (log1p.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(exp.f64 (log.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(fma.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 y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(fma.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) x.im (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) (/.f64 x.re y.re))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(fma.f64 (sqrt.f64 (/.f64 x.re y.re)) (sqrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) y.re) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) y.re) (/.f64 x.re y.re))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) y.re) #s(literal 2 binary64)) (/.f64 x.re y.re))

eval255.0ms (1.8%)

Compiler

Compiled 59598 to 6542 computations (89% saved)

prune247.0ms (1.7%)

Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1344141358
Fresh459
Picked325
Done011
Total1351221373
Accuracy
100.0%
Counts
1373 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.5%
(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))
44.3%
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
25.8%
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
63.3%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
51.3%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
52.8%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
53.1%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
54.7%
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im y.re) x.re))) y.im)
45.4%
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.im)
40.3%
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))
27.2%
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
39.9%
(/.f64 x.re y.re)
41.3%
(/.f64 x.im y.im)
75.3%
(/.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))))
54.7%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
41.2%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
51.0%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
48.2%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
41.2%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
40.6%
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
44.3%
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
31.9%
(expm1.f64 (log1p.f64 (/.f64 x.im y.im)))
Compiler

Compiled 539 to 344 computations (36.2% saved)

simplify69.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y.re y.im)
cost-diff0
(fma.f64 x.re (/.f64 y.re y.im) x.im)
cost-diff0
(/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
cost-diff0
(/.f64 y.im y.re)
cost-diff0
(/.f64 (/.f64 y.im y.re) y.re)
cost-diff0
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
cost-diff0
(/.f64 x.re y.re)
cost-diff0
(*.f64 x.re y.re)
cost-diff0
(/.f64 (*.f64 x.re y.re) y.im)
cost-diff0
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
cost-diff0
(/.f64 x.re y.re)
cost-diff0
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff6400
(/.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)))
cost-diff6528
(/.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))))
Rules
226×times-frac
187×fma-define
131×associate-*r*
101×associate-*l*
95×associate-*r/
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
031625
159621
2100605
3174601
4373601
5675601
6893601
71050592
81119592
91161592
101256592
111325592
121363592
Stop Event
saturated
Calls
Call 1
Inputs
(/.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))))
#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)))
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
(fma.f64 x.re y.re (*.f64 x.im y.im))
x.re
(*.f64 x.im y.im)
x.im
(/.f64 x.re y.re)
x.re
y.re
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (*.f64 x.re y.re) y.im)
(*.f64 x.re y.re)
x.re
y.re
y.im
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(/.f64 x.re y.re)
x.re
y.re
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
x.im
(/.f64 (/.f64 y.im y.re) y.re)
(/.f64 y.im y.re)
y.im
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
#s(literal 1 binary64)
(/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
y.im
(fma.f64 x.re (/.f64 y.re y.im) x.im)
x.re
(/.f64 y.re y.im)
y.re
x.im
Outputs
(/.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 (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 y.re x.re (*.f64 y.im x.im)))))
(/.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
#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 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))) (hypot.f64 y.re y.im))
(*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (fma.f64 y.im x.im (*.f64 y.re x.re)))
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (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 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.re y.im))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 y.im x.im (*.f64 y.re x.re))
x.re
(*.f64 x.im y.im)
(*.f64 y.im x.im)
x.im
(/.f64 x.re y.re)
x.re
y.re
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 x.re (/.f64 y.re (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re y.re) y.im)
(*.f64 x.re (/.f64 y.re y.im))
(*.f64 y.re (/.f64 x.re y.im))
(*.f64 x.re y.re)
(*.f64 y.re x.re)
x.re
y.re
y.im
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
(fma.f64 x.im (/.f64 y.im (*.f64 y.re y.re)) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (*.f64 y.re y.re)) (/.f64 x.re y.re))
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(/.f64 x.re y.re)
x.re
y.re
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
(*.f64 x.im (/.f64 y.im (*.f64 y.re y.re)))
(*.f64 y.im (/.f64 x.im (*.f64 y.re y.re)))
x.im
(/.f64 (/.f64 y.im y.re) y.re)
(/.f64 y.im (*.f64 y.re y.re))
(/.f64 y.im y.re)
y.im
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 (fma.f64 y.re (/.f64 x.re y.im) x.im) y.im)
#s(literal 1 binary64)
(/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(/.f64 y.im (fma.f64 y.re (/.f64 x.re y.im) x.im))
y.im
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(fma.f64 y.re (/.f64 x.re y.im) x.im)
x.re
(/.f64 y.re y.im)
y.re
x.im

localize372.0ms (2.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y.re y.im)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
accuracy99.5%
(/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
accuracy95.1%
(fma.f64 x.re (/.f64 y.re y.im) x.im)
accuracy100.0%
(/.f64 x.re y.re)
accuracy99.8%
(/.f64 (/.f64 y.im y.re) y.re)
accuracy95.5%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
accuracy88.4%
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
accuracy100.0%
(*.f64 x.re y.re)
accuracy98.8%
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
accuracy91.8%
(/.f64 (*.f64 x.re y.re) y.im)
accuracy100.0%
(/.f64 x.re y.re)
accuracy99.9%
(/.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)))
accuracy99.6%
(fma.f64 x.re y.re (*.f64 x.im y.im))
accuracy99.1%
(/.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))))
accuracy76.7%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Results
240.0ms256×0valid
Compiler

Compiled 150 to 24 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 18.0ms (48.2% of total)
ival-fma: 7.0ms (18.7% of total)
ival-mult: 6.0ms (16.1% of total)
ival-hypot: 5.0ms (13.4% of total)
ival-add: 1.0ms (2.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series129.0ms (0.9%)

Counts
11 → 408
Calls
Call 1
Inputs
#<alt (/.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))))>
#<alt (/.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)))>
#<alt (hypot.f64 y.re y.im)>
#<alt (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))>
#<alt (/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)>
#<alt (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))>
#<alt (/.f64 (/.f64 y.im y.re) y.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))>
#<alt (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))>
#<alt (+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))>
Outputs
#<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)))))))>
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#<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 (*.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 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))))))>
Calls

108 calls:

TimeVariablePointExpression
43.0ms
y.re
@inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
13.0ms
y.re
@inf
(+ (/ x.re y.re) (* x.im (/ (/ y.im y.re) y.re)))
9.0ms
x.re
@inf
(/ y.im (+ (* x.re (/ y.re y.im)) x.im))
7.0ms
y.re
@inf
(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms
x.re
@inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))

rewrite268.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
439×log1p-expm1-u
234×expm1-log1p-u
232×add-exp-log
232×add-log-exp
232×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031414
1522362
27841362
Stop Event
node limit
Counts
11 → 432
Calls
Call 1
Inputs
(/.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 (hypot.f64 y.re y.im) (/.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 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
(/.f64 (/.f64 y.im y.re) y.re)
(/.f64 y.im y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.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 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))) (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64)) (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))) (sqrt.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y.re x.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 y.re x.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 y.re x.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 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 y.re x.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 y.re x.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 y.re x.re (*.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 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (log.f64 (hypot.f64 y.re y.im))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
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(*.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64))
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(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) x.im (/.f64 x.re y.re))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(fma.f64 (sqrt.f64 (/.f64 x.re y.re)) (sqrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) (/.f64 x.re y.re))

simplify1.1s (7.5%)

Algorithm
egg-herbie
Rules
739×fma-define
533×*-commutative
310×associate-*r/
299×mul-1-neg
275×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0179347384
1531945881
Stop Event
node limit
Counts
840 → 1049
Calls
Call 1
Inputs
(/.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)
(/.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 (*.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)))))
(+.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) (+.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 x.re y.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 (+.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 (+.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 (+.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 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.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 #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 #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 (*.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) (+.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) (+.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) (+.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 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.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)))))))
(*.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)))))))
(*.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)))))))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.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)))))))))
(*.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)))))))))
(*.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)))))))))
(/.f64 y.im x.im)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 y.im x.im))
(+.f64 (*.f64 y.re (-.f64 (*.f64 y.re (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) y.im))))) (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (/.f64 y.im x.im))
(+.f64 (*.f64 y.re (-.f64 (*.f64 y.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (*.f64 y.re (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) y.im)))))) (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) y.im))))) (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (/.f64 y.im x.im))
(/.f64 y.re x.re)
(*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 y.re (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re)))))
(*.f64 y.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (*.f64 y.im (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))) (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re)))))
(/.f64 y.re x.re)
(*.f64 #s(literal -1 binary64) (*.f64 y.re (-.f64 (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re)) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) y.re)) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) y.re)) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))) (*.f64 x.re y.re))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) y.re)) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) y.re)) (/.f64 #s(literal 1 binary64) x.re))))
(/.f64 y.re x.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 y.re x.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re y.re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) y.re))))) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 y.re x.re))
(+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (*.f64 y.im (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re y.re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) y.re)))))) (*.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) (*.f64 x.re y.re))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) y.re))))) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 y.re x.re))
(/.f64 y.im x.im)
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y.re
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y.im
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x.im
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x.re
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x.re
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x.im
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(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (-.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re)))
(pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) x.im (/.f64 x.re y.re))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(fma.f64 (sqrt.f64 (/.f64 x.re y.re)) (sqrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) (/.f64 x.re y.re))
Outputs
(/.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 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.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))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 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))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 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))
(fma.f64 y.re (fma.f64 y.re (-.f64 (neg.f64 (*.f64 x.re (/.f64 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))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 (*.f64 y.re (neg.f64 x.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 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.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 x.re (fma.f64 #s(literal -1 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)))) y.re)
(/.f64 (+.f64 x.re (fma.f64 x.im (/.f64 y.im y.re) (*.f64 (neg.f64 x.re) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) 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 (+.f64 x.re (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (*.f64 x.im (/.f64 y.im y.re))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (/.f64 (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))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.re (*.f64 x.im (/.f64 y.im (neg.f64 y.re)))) y.re))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) 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 (*.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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) y.re))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 (neg.f64 x.re) (pow.f64 y.im #s(literal 2 binary64)))) y.re) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (/.f64 (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) y.re)) 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))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(+.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))
(fma.f64 y.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 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))
(fma.f64 y.im (-.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 3 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))
(fma.f64 y.im (fma.f64 y.im (-.f64 (neg.f64 (*.f64 x.im (/.f64 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))
(fma.f64 y.im (fma.f64 y.im (-.f64 (/.f64 (*.f64 (neg.f64 y.im) x.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 (fma.f64 x.re (/.f64 y.re y.im) x.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 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.re y.im)))) y.im)
(/.f64 (+.f64 (-.f64 x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 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 (+.f64 x.im (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 x.re (/.f64 y.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 (+.f64 x.im (-.f64 (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (*.f64 x.im (/.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 #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))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) y.im))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) 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 (*.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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) 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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)) (*.f64 (neg.f64 x.im) (pow.f64 y.re #s(literal 2 binary64)))) y.im) (*.f64 x.re y.re)) y.im))) y.im))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (*.f64 x.re y.re) (/.f64 (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) y.im)) y.im))) y.im)
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (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 x.re y.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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (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 x.re y.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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (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 x.re 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 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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y.re
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y.im
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(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 3 binary64)))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(expm1.f64 (log1p.f64 (fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) x.im (/.f64 x.re y.re))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.re)) (*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(fma.f64 (sqrt.f64 (/.f64 x.re y.re)) (sqrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) (/.f64 x.re y.re))
(+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) #s(literal 2 binary64)) (/.f64 x.re y.re))

eval539.0ms (3.7%)

Compiler

Compiled 31645 to 5432 computations (82.8% saved)

prune365.0ms (2.5%)

Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New1379111390
Fresh41014
Picked235
Done033
Total1385271412
Accuracy
100.0%
Counts
1412 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.3%
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
25.8%
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
63.3%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
51.3%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
52.8%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
53.1%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
27.2%
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
45.4%
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.im)
40.3%
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))
39.9%
(/.f64 x.re y.re)
41.3%
(/.f64 x.im y.im)
32.5%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
24.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y.im (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 (/.f64 x.re x.im) (/.f64 (*.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) x.im))
39.4%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
54.7%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (*.f64 x.re (/.f64 y.re y.im)) x.im)))
41.2%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
75.2%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
50.9%
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
51.1%
(+.f64 (/.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 y.im x.im) y.re))))
51.0%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
48.2%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
26.4%
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
39.8%
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
41.2%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
40.6%
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
24.5%
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
44.3%
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
Compiler

Compiled 656 to 421 computations (35.8% saved)

simplify124.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x.im)
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
cost-diff0
(/.f64 y.re y.im)
cost-diff0
(*.f64 y.re (/.f64 y.re y.im))
cost-diff0
(/.f64 x.im (*.f64 y.re (/.f64 y.re y.im)))
cost-diff0
(/.f64 x.re y.re)
cost-diff0
(/.f64 x.re y.im)
cost-diff0
(/.f64 y.re y.im)
cost-diff0
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
cost-diff0
(/.f64 #s(literal 1 binary64) y.im)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
cost-diff0
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff6400
(*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
cost-diff6528
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
Rules
916×fma-define
620×unsub-neg
584×fma-neg
520×times-frac
475×div-sub
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
032590
168576
2113566
3241560
4425560
5724560
61029560
71536560
81789551
92197551
102915551
114318551
126803551
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
#s(literal 1 binary64)
(*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(fma.f64 y.re x.re (*.f64 y.im x.im))
x.re
(*.f64 y.im x.im)
x.im
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 #s(literal 1 binary64) y.im)
#s(literal 1 binary64)
y.im
x.im
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(/.f64 y.re y.im)
y.re
y.im
(/.f64 x.re y.im)
x.re
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
(/.f64 x.re y.re)
x.re
y.re
(/.f64 x.im (*.f64 y.re (/.f64 y.re y.im)))
x.im
(*.f64 y.re (/.f64 y.re y.im))
(/.f64 y.re y.im)
y.im
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
#s(literal 1 binary64)
(/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im))
(hypot.f64 y.re y.im)
y.re
y.im
(neg.f64 x.im)
x.im
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.re y.re (*.f64 y.im y.im))) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(*.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 y.re y.re (*.f64 y.im y.im))))
(/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
#s(literal 1 binary64)
(*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (fma.f64 y.im x.im (*.f64 y.re x.re)))
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.im x.im (*.f64 y.re x.re)))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 y.im x.im (*.f64 y.re x.re))
x.re
(*.f64 y.im x.im)
x.im
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.im y.im)
(/.f64 #s(literal 1 binary64) y.im)
#s(literal 1 binary64)
y.im
x.im
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(*.f64 y.re (/.f64 x.re (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 y.re (*.f64 y.im y.im)))
(/.f64 y.re y.im)
y.re
y.im
(/.f64 x.re y.im)
x.re
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 x.im (*.f64 y.re y.re)) y.im))
(fma.f64 (/.f64 x.im (*.f64 y.re y.re)) y.im (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (*.f64 y.re y.re)) (/.f64 x.re y.re))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(/.f64 x.re y.re)
x.re
y.re
(/.f64 x.im (*.f64 y.re (/.f64 y.re y.im)))
(*.f64 (/.f64 x.im (*.f64 y.re y.re)) y.im)
(*.f64 y.im (/.f64 x.im (*.f64 y.re y.re)))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
x.im
(*.f64 y.re (/.f64 y.re y.im))
(/.f64 y.re y.im)
y.im
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 x.im) (hypot.f64 y.re y.im))
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
#s(literal 1 binary64)
(/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im))
(hypot.f64 y.re y.im)
y.re
y.im
(neg.f64 x.im)
x.im

localize223.0ms (1.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 y.re y.im)
accuracy100.0%
(/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im))
accuracy100.0%
(neg.f64 x.im)
accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
accuracy100.0%
(/.f64 x.re y.re)
accuracy99.8%
(*.f64 y.re (/.f64 y.re y.im))
accuracy95.5%
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
accuracy88.0%
(/.f64 x.im (*.f64 y.re (/.f64 y.re y.im)))
accuracy100.0%
(/.f64 y.re y.im)
accuracy100.0%
(/.f64 x.re y.im)
accuracy96.7%
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y.im)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
accuracy99.6%
(fma.f64 y.re x.re (*.f64 y.im x.im))
accuracy99.6%
(*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
accuracy76.6%
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))
Results
188.0ms256×0valid
Compiler

Compiled 145 to 24 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-div: 129.0ms (86.9% of total)
ival-mult: 9.0ms (6.1% of total)
ival-hypot: 5.0ms (3.4% of total)
ival-fma: 3.0ms (2% of total)
ival-add: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series74.0ms (0.5%)

Counts
14 → 444
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))>
#<alt (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))>
#<alt (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)>
#<alt (/.f64 #s(literal 1 binary64) y.im)>
#<alt (*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im)))>
#<alt (*.f64 y.re (/.f64 y.re y.im))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))>
#<alt (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im))>
#<alt (neg.f64 x.im)>
#<alt (fma.f64 y.re x.re (*.f64 y.im x.im))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))>
Outputs
#<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)))))>
#<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 y.im x.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 y.im x.im))>
#<alt (+.f64 (*.f64 y.re (-.f64 (*.f64 y.re (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) y.im))))) (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (/.f64 y.im x.im))>
#<alt (+.f64 (*.f64 y.re (-.f64 (*.f64 y.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (*.f64 y.re (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) y.im)))))) (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) y.im))))) (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (/.f64 y.im x.im))>
#<alt (/.f64 y.re x.re)>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (/.f64 #s(literal 1 binary64) x.re)))>
#<alt (*.f64 y.re (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re)))))>
#<alt (*.f64 y.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (*.f64 y.im (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))) (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re)))))>
#<alt (/.f64 y.re x.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (-.f64 (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re)) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) y.re)) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) y.re)) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))) (*.f64 x.re y.re))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) y.re)) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) y.re)) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (/.f64 y.re x.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 y.re x.re))>
#<alt (+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re y.re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) y.re))))) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 y.re x.re))>
#<alt (+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (*.f64 y.im (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re y.re)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) y.re)))))) (*.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) (*.f64 x.re y.re))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) y.re))))) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 y.re x.re))>
#<alt (/.f64 y.im x.im)>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (/.f64 #s(literal 1 binary64) x.im)))>
#<alt (*.f64 y.im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.re) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im)))))>
#<alt (*.f64 y.im (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (*.f64 y.re (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))))) (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.re) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im)))))>
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#<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 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))))))>
Calls

120 calls:

TimeVariablePointExpression
7.0ms
x.re
@0
(+ (/ x.re y.re) (/ x.im (* y.re (/ y.re y.im))))
4.0ms
y.re
@-inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im)))
1.0ms
x.im
@-inf
(/ x.im (* y.re (/ y.re y.im)))
1.0ms
x.im
@inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im)))
1.0ms
x.re
@0
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im)))

rewrite148.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
032439
1527384
Stop Event
node limit
Counts
14 → 528
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 #s(literal 1 binary64) y.im)
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(/.f64 x.re y.im)
(/.f64 x.im (*.f64 y.re (/.f64 y.re y.im)))
(*.f64 y.re (/.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
(/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im))
(neg.f64 x.im)
(fma.f64 y.re x.re (*.f64 y.im x.im))
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64)) (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))) (neg.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (hypot.f64 y.re y.im) (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64))
(/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal -1 binary64))
(/.f64 (*.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64)) (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))) (neg.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (hypot.f64 y.re y.im) (/.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (hypot.f64 y.re y.im)) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
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(/.f64 (neg.f64 (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 y.re x.im))) (neg.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)))
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(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 2 binary64)) (/.f64 (*.f64 x.re x.im) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) (/.f64 x.re y.re)))
(/.f64 (/.f64 (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 y.re x.im)) y.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))
(pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)))))
(log.f64 (/.f64 (exp.f64 (/.f64 x.re y.re)) (exp.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.re) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.re)) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (/.f64 x.re y.re))
(fma.f64 (sqrt.f64 (/.f64 x.re y.re)) (sqrt.f64 (/.f64 x.re y.re)) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 (/.f64 (sqrt.f64 x.im) (/.f64 y.re (sqrt.f64 y.im))) (/.f64 (sqrt.f64 x.im) (/.f64 y.re (sqrt.f64 y.im))) (/.f64 x.re y.re))

simplify608.0ms (4.2%)

Algorithm
egg-herbie
Rules
584×*-commutative
303×mul-1-neg
302×neg-sub0
281×associate-*r/
255×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0204649505
1609447932
Stop Event
node limit
Counts
972 → 1173
Calls
Call 1
Inputs
(/.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)
(/.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 (*.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)))))
(+.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) (+.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 x.re y.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 (+.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 (+.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 (+.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 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.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 #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 #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 (*.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) (+.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) (+.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) (+.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 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.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)))))))
(*.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)))))))
(*.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)))))))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.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)))))))))
(*.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)))))))))
(*.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)))))))))
(/.f64 y.im x.im)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 y.im x.im))
(+.f64 (*.f64 y.re (-.f64 (*.f64 y.re (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) y.im))))) (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (/.f64 y.im x.im))
(+.f64 (*.f64 y.re (-.f64 (*.f64 y.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (*.f64 y.re (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) y.im)))))) (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) y.im))))) (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (/.f64 y.im x.im))
(/.f64 y.re x.re)
(*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (/.f64 #s(literal 1 binary64) x.re)))
(*.f64 y.re (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re)))))
(*.f64 y.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (*.f64 y.im (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))) (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re)))))
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(/.f64 (neg.f64 (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 y.re x.im))) (neg.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 2 binary64)) (/.f64 (*.f64 x.re x.im) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 2 binary64)) (/.f64 (*.f64 x.re x.im) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) (/.f64 x.re y.re)))
(/.f64 (/.f64 (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 y.re x.im)) y.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))
(pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)))))
(log.f64 (/.f64 (exp.f64 (/.f64 x.re y.re)) (exp.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.re) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.re)) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (/.f64 x.re y.re))
(fma.f64 (sqrt.f64 (/.f64 x.re y.re)) (sqrt.f64 (/.f64 x.re y.re)) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 (/.f64 (sqrt.f64 x.im) (/.f64 y.re (sqrt.f64 y.im))) (/.f64 (sqrt.f64 x.im) (/.f64 y.re (sqrt.f64 y.im))) (/.f64 x.re y.re))
Outputs
(/.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 x.im y.im) (*.f64 x.re (/.f64 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))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 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))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 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))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 (*.f64 y.re (neg.f64 x.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 x.im (/.f64 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 x.re (fma.f64 #s(literal -1 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)))) y.re)
(/.f64 (+.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) 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 (+.f64 x.re (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (*.f64 x.re (/.f64 (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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.re) (*.f64 x.im (/.f64 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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) y.re))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 (neg.f64 x.re) (pow.f64 y.im #s(literal 2 binary64)))) y.re) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (/.f64 (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) y.re)) 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))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(+.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))
(fma.f64 y.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 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))
(fma.f64 y.im (-.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 3 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))
(fma.f64 y.im (fma.f64 y.im (-.f64 (neg.f64 (*.f64 x.im (/.f64 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))
(fma.f64 y.im (fma.f64 y.im (-.f64 (/.f64 (neg.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 x.re (/.f64 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 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.re y.im)))) y.im)
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.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 (-.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 (+.f64 x.im (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64))) (*.f64 x.re (/.f64 y.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 (+.f64 x.im (-.f64 (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))) (*.f64 x.im (/.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 #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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))) y.im))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (*.f64 x.re (/.f64 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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) 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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)) (*.f64 (neg.f64 x.im) (pow.f64 y.re #s(literal 2 binary64)))) y.im) (*.f64 x.re y.re)) y.im))) y.im))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (*.f64 x.re y.re) (/.f64 (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) y.im)) y.im))) y.im)
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.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 x.im (/.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 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 x.re 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))))
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(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) (neg.f64 x.re)) (*.f64 y.re (/.f64 x.im y.re))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) x.im) (*.f64 (/.f64 y.re x.re) #s(literal 1 binary64))) (*.f64 (/.f64 y.re x.re) (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) x.im)))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) y.im) (/.f64 y.re x.re)) (*.f64 (/.f64 y.re x.re) (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) y.im)))
(/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 (/.f64 y.re x.re) x.im)) (*.f64 (/.f64 y.re x.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 x.im (/.f64 y.re x.re))) (*.f64 (/.f64 y.re x.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.f64 (/.f64 y.re x.re) x.im)) (*.f64 (/.f64 y.re x.re) (neg.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) (*.f64 x.im (/.f64 y.re x.re))) (*.f64 (/.f64 y.re x.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(/.f64 (-.f64 (/.f64 y.re y.im) (*.f64 (/.f64 y.re x.re) (/.f64 x.im y.re))) (*.f64 (/.f64 y.re x.re) (/.f64 y.re y.im)))
(/.f64 (-.f64 (*.f64 x.re (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) x.im)) (*.f64 y.re #s(literal 1 binary64))) (*.f64 y.re (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) x.im)))
(/.f64 (-.f64 (*.f64 x.re (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) y.im)) y.re) (*.f64 y.re (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) y.im)))
(/.f64 (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.f64 y.re x.im)) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im))
(*.f64 (/.f64 (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.f64 x.im y.re)) (pow.f64 y.re #s(literal 3 binary64))) y.im)
(/.f64 (-.f64 (*.f64 x.re (neg.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (*.f64 y.re x.im)) (*.f64 y.re (neg.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(/.f64 (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) (*.f64 x.im y.re)) (*.f64 y.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(/.f64 (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 y.re (/.f64 x.im y.re))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))
(/.f64 (-.f64 (*.f64 (neg.f64 x.re) (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) x.im)) (*.f64 (neg.f64 y.re) #s(literal 1 binary64))) (*.f64 (neg.f64 y.re) (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) x.im)))
(/.f64 (+.f64 (*.f64 (neg.f64 x.re) (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) y.im)) y.re) (*.f64 (neg.f64 y.re) (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) y.im)))
(/.f64 (fma.f64 (neg.f64 x.re) (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) y.im) y.re) (*.f64 (neg.f64 y.re) (/.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) y.im)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.f64 (neg.f64 y.re) x.im)) (*.f64 (neg.f64 y.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)))) (*.f64 y.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (*.f64 y.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(/.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (*.f64 (neg.f64 y.re) x.im)) (*.f64 (neg.f64 y.re) (neg.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(/.f64 (+.f64 (*.f64 (neg.f64 x.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) (*.f64 x.im y.re)) (*.f64 (neg.f64 y.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (*.f64 y.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.re) (/.f64 y.re y.im)) (*.f64 (neg.f64 y.re) (/.f64 x.im y.re))) (neg.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(/.f64 (+.f64 (*.f64 (/.f64 y.re y.im) (neg.f64 x.re)) (*.f64 y.re (/.f64 x.im y.re))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)))
(/.f64 (fma.f64 (/.f64 y.re y.im) (neg.f64 x.re) (*.f64 y.re (/.f64 x.im y.re))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)))
(/.f64 (neg.f64 (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 y.re x.im))) (neg.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (neg.f64 y.im)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 2 binary64)) (/.f64 (*.f64 x.re x.im) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x.im x.re) (pow.f64 y.re #s(literal 3 binary64))) y.im))))
(neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64))) (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x.im x.re) (pow.f64 y.re #s(literal 3 binary64))) y.im))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 2 binary64)) (/.f64 (*.f64 x.re x.im) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x.im x.re) (pow.f64 y.re #s(literal 3 binary64))) y.im)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) (/.f64 x.re y.re)))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re)))
(/.f64 (/.f64 (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 y.re x.im)) y.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))
(/.f64 (+.f64 (*.f64 (neg.f64 x.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) (*.f64 x.im y.re)) (*.f64 (neg.f64 y.re) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (*.f64 y.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 1 binary64))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))) #s(literal 3 binary64))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))) #s(literal 2 binary64))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(log.f64 (/.f64 (exp.f64 (/.f64 x.re y.re)) (exp.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))))
(-.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re)) #s(literal 3 binary64)))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) (/.f64 x.re y.re))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.re) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re y.re))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.re)) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (/.f64 x.re y.re))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(fma.f64 (sqrt.f64 (/.f64 x.re y.re)) (sqrt.f64 (/.f64 x.re y.re)) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 (/.f64 (sqrt.f64 x.im) (/.f64 y.re (sqrt.f64 y.im))) (/.f64 (sqrt.f64 x.im) (/.f64 y.re (sqrt.f64 y.im))) (/.f64 x.re y.re))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 x.im) (/.f64 y.re (sqrt.f64 y.im))) #s(literal 2 binary64)) (/.f64 x.re y.re))

eval490.0ms (3.4%)

Compiler

Compiled 35156 to 5765 computations (83.6% saved)

prune569.0ms (3.9%)

Pruning

32 alts after pruning (24 fresh and 8 done)

PrunedKeptTotal
New1526141540
Fresh61016
Picked325
Done066
Total1535321567
Accuracy
100.0%
Counts
1567 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.3%
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
25.8%
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
27.1%
(/.f64 (/.f64 y.re y.im) (/.f64 y.im x.re))
63.3%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
51.3%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
52.8%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
53.1%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
45.4%
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.im)
40.3%
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))
11.0%
(/.f64 (neg.f64 x.im) y.re)
24.1%
(/.f64 x.re (*.f64 (/.f64 y.im y.re) y.im))
39.9%
(/.f64 x.re y.re)
32.2%
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
14.3%
(/.f64 x.im (neg.f64 y.im))
9.7%
(/.f64 x.im y.re)
41.3%
(/.f64 x.im y.im)
24.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y.im (*.f64 x.re (/.f64 (*.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) x.im))
19.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re) #s(literal 1/2 binary64))) (neg.f64 x.im)))
11.3%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.re) x.im))
14.3%
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.im) x.im))
39.4%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
10.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
54.7%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (*.f64 x.re (/.f64 y.re y.im)) x.im)))
29.3%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 y.im (fma.f64 y.re x.re (*.f64 y.im x.im)))))
50.9%
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
49.8%
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 (/.f64 x.im y.re) y.re) y.im))
52.5%
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 y.re y.im))))
51.0%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
39.8%
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
41.2%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
40.6%
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
44.3%
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
Compiler

Compiled 967 to 443 computations (54.2% saved)

regimes421.0ms (2.9%)

Counts
55 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 x.im) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.im) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.re) x.im))
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(/.f64 x.re (*.f64 (/.f64 y.im y.re) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 y.re y.im) (/.f64 y.im x.re))
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) 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 x.im) y.re)) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 (/.f64 x.im y.re) y.re) y.im))
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (*.f64 x.re (/.f64 y.re y.im)) x.im)))
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im y.re) x.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 y.re y.im))))
(+.f64 (/.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 y.im x.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 x.im (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re) #s(literal 1/2 binary64))) (neg.f64 x.im)))
(expm1.f64 (log1p.f64 (/.f64 x.im y.im)))
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 y.im (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.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 x.im y.im)) (hypot.f64 y.re y.im))))
(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 x.im (+.f64 (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re (/.f64 y.re x.im)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y.im (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 (/.f64 x.re x.im) (/.f64 (*.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y.im (*.f64 x.re (/.f64 (*.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) x.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.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)
Calls

5 calls:

209.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
147.0ms
x.im
29.0ms
x.re
16.0ms
y.im
15.0ms
y.re
Results
AccuracySegmentsBranch
77.9%2x.re
77.9%2x.im
87.8%5y.re
89.0%4y.im
87.2%3(/.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)

regimes22.0ms (0.2%)

Counts
54 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 x.im) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.im) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.re) x.im))
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(/.f64 x.re (*.f64 (/.f64 y.im y.re) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 y.re y.im) (/.f64 y.im x.re))
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) 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 x.im) y.re)) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 (/.f64 x.im y.re) y.re) y.im))
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (*.f64 x.re (/.f64 y.re y.im)) x.im)))
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im y.re) x.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 y.re y.im))))
(+.f64 (/.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 y.im x.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 x.im (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re) #s(literal 1/2 binary64))) (neg.f64 x.im)))
(expm1.f64 (log1p.f64 (/.f64 x.im y.im)))
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 y.im (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.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 x.im y.im)) (hypot.f64 y.re y.im))))
(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 x.im (+.f64 (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re (/.f64 y.re x.im)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y.im (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 (/.f64 x.re x.im) (/.f64 (*.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 y.im (*.f64 x.re (/.f64 (*.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) x.im))
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.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 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

1 calls:

18.0ms
y.im
Results
AccuracySegmentsBranch
88.8%4y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes94.0ms (0.6%)

Counts
49 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 x.im) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.im) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.re) x.im))
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(/.f64 x.re (*.f64 (/.f64 y.im y.re) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 y.re y.im) (/.f64 y.im x.re))
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) 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 x.im) y.re)) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 (/.f64 x.im y.re) y.re) y.im))
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (*.f64 x.re (/.f64 y.re y.im)) x.im)))
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im y.re) x.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 y.re y.im))))
(+.f64 (/.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 y.im x.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 x.im (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re) #s(literal 1/2 binary64))) (neg.f64 x.im)))
(expm1.f64 (log1p.f64 (/.f64 x.im y.im)))
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 y.im (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

1 calls:

90.0ms
y.im
Results
AccuracySegmentsBranch
88.8%4y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes31.0ms (0.2%)

Counts
48 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 x.im) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.im) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.re) x.im))
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(/.f64 x.re (*.f64 (/.f64 y.im y.re) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 y.re y.im) (/.f64 y.im x.re))
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) 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 x.im) y.re)) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 (/.f64 x.im y.re) y.re) y.im))
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (*.f64 x.re (/.f64 y.re y.im)) x.im)))
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im y.re) x.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 y.re y.im))))
(+.f64 (/.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 y.im x.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 x.im (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re) #s(literal 1/2 binary64))) (neg.f64 x.im)))
(expm1.f64 (log1p.f64 (/.f64 x.im y.im)))
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 y.im (fma.f64 y.re x.re (*.f64 y.im x.im)))))
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.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 x.re (/.f64 y.re y.im))) y.im)
Calls

2 calls:

15.0ms
y.im
12.0ms
(/.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
76.6%3(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
87.0%4y.im
Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes20.0ms (0.1%)

Counts
46 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 x.im) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.im) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.re) x.im))
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(/.f64 x.re (*.f64 (/.f64 y.im y.re) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 y.re y.im) (/.f64 y.im x.re))
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) 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 x.im) y.re)) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 (/.f64 x.im y.re) y.re) y.im))
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (*.f64 x.re (/.f64 y.re y.im)) x.im)))
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im y.re) x.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 y.re y.im))))
(+.f64 (/.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 y.im x.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 x.im (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y.re (*.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re) #s(literal 1/2 binary64))) (neg.f64 x.im)))
(expm1.f64 (log1p.f64 (/.f64 x.im y.im)))
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
Calls

1 calls:

13.0ms
y.im
Results
AccuracySegmentsBranch
85.4%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

Counts
37 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 x.im) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.im) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.re) x.im))
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(/.f64 x.re (*.f64 (/.f64 y.im y.re) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 y.re y.im) (/.f64 y.im x.re))
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) 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 x.im) y.re)) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 (/.f64 x.im y.re) y.re) y.im))
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (*.f64 x.re (/.f64 y.re y.im)) x.im)))
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im y.re) x.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 y.re y.im))))
(+.f64 (/.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 y.im x.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 x.im (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (neg.f64 x.im)))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.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)
Calls

1 calls:

10.0ms
y.im
Results
AccuracySegmentsBranch
87.0%4y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.1%)

Counts
33 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 x.im) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.im) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.re) x.im))
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(/.f64 x.re (*.f64 (/.f64 y.im y.re) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 y.re y.im) (/.f64 y.im x.re))
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) 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 x.im) y.re)) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 (/.f64 x.im y.re) y.re) y.im))
(+.f64 (/.f64 x.re y.re) (/.f64 x.im (*.f64 y.re (/.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (*.f64 x.re (/.f64 y.re y.im)) x.im)))
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im y.re) x.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 y.re y.im))))
(+.f64 (/.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 y.im x.im) y.re))))
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

1 calls:

10.0ms
y.im
Results
AccuracySegmentsBranch
85.4%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Counts
22 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.im (neg.f64 y.im))
(/.f64 (neg.f64 x.im) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.im) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.re) x.im))
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
(/.f64 x.re (*.f64 (/.f64 y.im y.re) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 y.re y.im) (/.f64 y.im x.re))
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) 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)
Outputs
(/.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)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

1 calls:

7.0ms
y.im
Results
AccuracySegmentsBranch
84.9%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes29.0ms (0.2%)

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

4 calls:

8.0ms
y.re
7.0ms
y.im
6.0ms
x.im
6.0ms
x.re
Results
AccuracySegmentsBranch
58.3%3x.im
54.8%1x.re
72.8%3y.re
75.5%3y.im
Compiler

Compiled 20 to 16 computations (20% saved)

regimes14.0ms (0.1%)

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

2 calls:

7.0ms
y.im
6.0ms
y.re
Results
AccuracySegmentsBranch
62.5%3y.re
66.0%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

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

4 calls:

2.0ms
x.im
2.0ms
y.re
2.0ms
y.im
1.0ms
x.re
Results
AccuracySegmentsBranch
41.3%1x.re
41.3%1x.im
43.0%2y.re
41.3%1y.im
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
y.im
1.0ms
y.re
Results
AccuracySegmentsBranch
41.3%1y.im
41.3%1y.re
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch70.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
1.0324349553049671e+53
2.290600075773893e+58
18.0ms
1.9018396253007163e-77
2.663782679684116e-67
15.0ms
-5.300849773079092e+29
-6.336352778257605e+25
Results
52.0ms432×0valid
Compiler

Compiled 1086 to 598 computations (44.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 13.0ms (65.3% of total)
ival-add: 4.0ms (20.1% of total)
ival-div: 3.0ms (15.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch160.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
2.290600075773893e+58
3.323574547459654e+59
18.0ms
1.9018396253007163e-77
2.663782679684116e-67
108.0ms
-5.300849773079092e+29
-6.336352778257605e+25
Results
143.0ms384×0valid
Compiler

Compiled 810 to 497 computations (38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 105.0ms (80.8% of total)
ival-add: 22.0ms (16.9% of total)
ival-div: 3.0ms (2.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch77.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.290600075773893e+58
3.323574547459654e+59
40.0ms
1.9018396253007163e-77
2.663782679684116e-67
22.0ms
-5.300849773079092e+29
-6.336352778257605e+25
Results
39.0ms384×0valid
Compiler

Compiled 810 to 497 computations (38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 19.0ms (75.9% of total)
ival-add: 4.0ms (16% of total)
ival-div: 2.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch60.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
2.290600075773893e+58
3.323574547459654e+59
19.0ms
1.9018396253007163e-77
2.663782679684116e-67
24.0ms
-5.300849773079092e+29
-6.336352778257605e+25
Results
34.0ms384×0valid
Compiler

Compiled 762 to 465 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 13.0ms (67.4% of total)
ival-add: 4.0ms (20.7% of total)
ival-div: 3.0ms (15.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
8.181442477794501e-54
1.3429880393811356e-53
18.0ms
-5.300849773079092e+29
-6.336352778257605e+25
Results
20.0ms192×0valid
Compiler

Compiled 358 to 229 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (69.9% of total)
ival-add: 2.0ms (15.5% of total)
ival-div: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.290600075773893e+58
3.323574547459654e+59
20.0ms
1.9018396253007163e-77
2.663782679684116e-67
17.0ms
-5.300849773079092e+29
-6.336352778257605e+25
Results
33.0ms384×0valid
Compiler

Compiled 794 to 497 computations (37.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 11.0ms (62.4% of total)
ival-add: 4.0ms (22.7% of total)
ival-div: 2.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
8.181442477794501e-54
1.3429880393811356e-53
14.0ms
-5.300849773079092e+29
-6.336352778257605e+25
Results
24.0ms192×0valid
Compiler

Compiled 362 to 233 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (69.2% of total)
ival-add: 2.0ms (23.1% of total)
ival-div: 1.0ms (11.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
8.181442477794501e-54
1.3429880393811356e-53
15.0ms
-5.300849773079092e+29
-6.336352778257605e+25
Results
16.0ms192×0valid
Compiler

Compiled 362 to 233 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (61.5% of total)
ival-add: 2.0ms (20.5% of total)
ival-div: 1.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.2267759894396503e-62
7.119500173229613e-56
17.0ms
-2.15122212956201e+25
-6080529363567748.0
Results
25.0ms288×0valid
Compiler

Compiled 422 to 287 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (69.6% of total)
ival-add: 3.0ms (20.9% of total)
ival-div: 2.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
8.181442477794501e-54
1.3429880393811356e-53
27.0ms
-2.15122212956201e+25
-6080529363567748.0
Results
28.0ms208×0valid
Compiler

Compiled 234 to 173 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (61.3% of total)
ival-add: 2.0ms (20.4% of total)
ival-div: 1.0ms (10.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
6.630458797045406e+192
3.5044381421394555e+197
Results
10.0ms128×0valid
Compiler

Compiled 154 to 113 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (68.6% of total)
ival-div: 1.0ms (17.1% of total)
ival-add: 1.0ms (17.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
if-if-or-not
*-commutative
+-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321707
11631707
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y.im #s(literal -74999999999999999278579712 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 230757981694141/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 1020000000000000045829134520594322372814006762707018055680 binary64)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.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))))
(if (<=.f64 y.im #s(literal -269999999999999999739349172224 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 7691847846639019/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 329999999999999994002112343329125334035147624505638846988288 binary64)) (/.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 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -449999999999999978491609088 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 7822218149124427/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 329999999999999994002112343329125334035147624505638846988288 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -67999999999999996711665664 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 7842588508887771/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 319999999999999982019823679181236186105508941712422302908416 binary64)) (/.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 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -90000000000000006006243328 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 5607668906767333/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(if (<=.f64 y.im #s(literal -95000000000000005385486336 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 8236916103037091/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 279999999999999978692159419650925877458390755836279138549760 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.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -819999999999999966915330048 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 5607668906767333/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -106000000000000007455794790400 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 8627182933488205/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (/.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)))
(if (<=.f64 y.im #s(literal -8500000000000000 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 2091946924697607/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -16000000000000000000000 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 5176309760092923/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(if (<=.f64 y.re #s(literal 155000000000000000726241469670130463852347714530708660866624514788763231709439026722120635107987566334900167350098231555353471147985142007726156057680835652677190349572715461634410773145569883848704 binary64)) (/.f64 x.im y.im) (/.f64 x.im y.re))
(/.f64 x.im y.im)
Outputs
(if (<=.f64 y.im #s(literal -74999999999999999278579712 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 230757981694141/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 1020000000000000045829134520594322372814006762707018055680 binary64)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.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))))
(if (<=.f64 y.im #s(literal -74999999999999999278579712 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 230757981694141/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 1020000000000000045829134520594322372814006762707018055680 binary64)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -269999999999999999739349172224 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 7691847846639019/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 329999999999999994002112343329125334035147624505638846988288 binary64)) (/.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 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -269999999999999999739349172224 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 7691847846639019/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 329999999999999994002112343329125334035147624505638846988288 binary64)) (/.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 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -449999999999999978491609088 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 7822218149124427/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 329999999999999994002112343329125334035147624505638846988288 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -67999999999999996711665664 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 7842588508887771/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 319999999999999982019823679181236186105508941712422302908416 binary64)) (/.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 x.re (/.f64 y.re y.im))) y.im))))
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(/.f64 x.im y.im)

soundness2.8s (19%)

Rules
1573×fma-neg
912×fma-define
864×times-frac
822×log1p-expm1-u
822×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031414
1522362
27841362
022260
1267240
23561240
02389154618885152
15802154618883922
035476
1583460
0179347384
1531945881
060824150
1150622778
2482222658
070976
1162976
2263976
3486976
41176976
53121976
64441976
75612976
86468976
96875976
107003976
117173976
127627976
137627976
147627976
157627976
167987976
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1146 to 304 computations (73.5% saved)

preprocess81.0ms (0.6%)

Compiler

Compiled 880 to 268 computations (69.5% saved)

end0.0ms (0%)

Profiling

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