_divideComplex, real part

Time bar (total: 10.2s)

analyze35.0ms (0.3%)

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

Compiled 20 to 12 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-mult, time spent: 11.0ms, 67.0% of total-time
Operation ival-add, time spent: 3.0ms, 18.0% of total-time
Operation ival-div, time spent: 2.0ms, 12.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample2.0s (19.6%)

Results
1.8s7772×256valid
67.0ms483×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 749.0ms
Operation ival-mult, time spent: 523.0ms, 70.0% of total-time
Operation ival-div, time spent: 114.0ms, 15.0% of total-time
Operation ival-add, time spent: 102.0ms, 14.0% of total-time
Operation const, time spent: 10.0ms, 1.0% of total-time
Bogosity

preprocess516.0ms (5.1%)

Algorithm
egg-herbie
Rules
1573×fmm-def
912×fma-define
860×times-frac
537×div-sub
318×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
951(2.30465114317859e-109 1.2500192785557825e+60 -1.4289174762533963e+214 2.319298435148004e-253)2(-2.0432067221848717e-284 1.471058933698886e+129 2.986172162862339e-159 1.1258052090367666e-238)(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
30-0-(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
00-0-x.im
00-0-y.im
00-0-(*.f64 x.im y.im)
00-0-y.re
00-0-x.re
00-0-(*.f64 y.im y.im)
00-0-(*.f64 x.re y.re)
00-0-(*.f64 y.re y.re)
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070976
1162976
2263976
3484976
41174976
53112976
64405976
75572976
86433976
96831976
106959976
117132976
127586976
137586976
147586976
157586976
167946976
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 (neg.f64 x.re) y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 (neg.f64 x.im) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re (neg.f64 y.re)) (*.f64 x.im y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im))))
(neg.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x.re) y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 (neg.f64 x.im) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re (neg.f64 y.re)) (*.f64 x.im y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im)))))
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 y.re x.re) (*.f64 x.im y.im)) (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 y.im y.re) (*.f64 x.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 x.re x.re)))
(/.f64 (+.f64 (*.f64 x.re x.im) (*.f64 y.re y.im)) (+.f64 (*.f64 x.im x.im) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))
(/.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) (+.f64 (*.f64 y.im y.im) (*.f64 y.re y.re)))
Outputs
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 (neg.f64 x.re) y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re (neg.f64 y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 (neg.f64 x.im) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re (neg.f64 y.re)) (*.f64 x.im y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re (neg.f64 y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im))))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(neg.f64 (/.f64 (+.f64 (*.f64 (neg.f64 x.re) y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 (neg.f64 x.im) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(/.f64 (fma.f64 x.re (neg.f64 y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re (neg.f64 y.re)) (*.f64 x.im y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im))))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(neg.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im)))))
(/.f64 (fma.f64 x.re (neg.f64 y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.im (*.f64 y.re x.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 y.re x.re) (*.f64 x.im y.im)) (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 x.re x.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.im y.im (*.f64 x.re x.re)))
(/.f64 (+.f64 (*.f64 y.im y.re) (*.f64 x.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 x.re x.re)))
(/.f64 (fma.f64 x.re x.im (*.f64 y.re y.im)) (fma.f64 y.re y.re (*.f64 x.re x.re)))
(/.f64 (fma.f64 x.re x.im (*.f64 y.re y.im)) (fma.f64 x.re x.re (*.f64 y.re y.re)))
(/.f64 (+.f64 (*.f64 x.re x.im) (*.f64 y.re y.im)) (+.f64 (*.f64 x.im x.im) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re x.im (*.f64 y.re y.im)) (fma.f64 x.im x.im (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re x.im (*.f64 y.re y.im)) (fma.f64 y.im y.im (*.f64 x.im x.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 x.im x.im)))
(/.f64 (+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) (+.f64 (*.f64 y.im y.im) (*.f64 y.re y.re)))
(/.f64 (fma.f64 x.re y.im (*.f64 y.re x.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
Operation ival-mult, time spent: 15.0ms, 57.0% of total-time
Operation ival-div, time spent: 5.0ms, 19.0% of total-time
Operation ival-add, time spent: 5.0ms, 19.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
64.4%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

localize55.0ms (0.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
99.0%
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
64.7%
(/.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 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-mult, time spent: 7.0ms, 50.0% of total-time
Operation ival-add, time spent: 5.0ms, 36.0% of total-time
Operation ival-div, time spent: 2.0ms, 14.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series20.0ms (0.2%)

Counts
3 → 120
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))>
Outputs
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<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

30 calls:

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

rewrite258.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
819×log1p-expm1-u
819×expm1-log1p-u
503×fma-define
241×fmm-def
218×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018107
125497
2354397
Stop Event
node limit
Counts
3 → 156
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (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 (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 (/.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 (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 (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)))))
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(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.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 (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 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))

simplify164.0ms (1.6%)

Algorithm
egg-herbie
Rules
487×cancel-sign-sub-inv
467×distribute-lft-neg-in
417×distribute-rgt-neg-in
288×fmm-def
234×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053412258
1139311542
2443611482
Stop Event
node limit
Counts
276 → 282
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))))
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(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
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(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.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(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.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 (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 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.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))
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(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (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.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (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.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 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y.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 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (*.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.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (*.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.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))

eval75.0ms (0.7%)

Compiler

Compiled 5695 to 2211 computations (61.2% saved)

prune58.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New26814282
Fresh000
Picked101
Done000
Total26914283
Accuracy
99.9%
Counts
283 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.8%
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
51.8%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
52.7%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
51.0%
(/.f64 (+.f64 x.im (/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)) y.im)
56.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
58.4%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
37.9%
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
37.9%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
53.8%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.2%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
39.9%
(/.f64 x.re y.re)
45.2%
(/.f64 x.im y.im)
76.9%
(*.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)))
77.8%
(*.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)))
Compiler

Compiled 460 to 272 computations (40.9% saved)

localize222.0ms (2.2%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
96.9%
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
94.7%
(/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)
92.9%
(*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))
84.2%
(/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
73.2%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
100.0%
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
99.5%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
91.3%
(/.f64 (*.f64 x.re y.re) y.im)
100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
99.2%
(fma.f64 x.re y.re (*.f64 x.im y.im))
78.5%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Compiler

Compiled 195 to 61 computations (68.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
Operation ival-div, time spent: 31.0ms, 28.0% of total-time
Operation ival-mult, time spent: 26.0ms, 24.0% of total-time
Operation ival-pow, time spent: 20.0ms, 18.0% of total-time
Operation composed, time spent: 14.0ms, 13.0% of total-time
Operation ival-add, time spent: 8.0ms, 7.0% of total-time
Operation ival-sub, time spent: 5.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 3.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time

series64.0ms (0.6%)

Counts
12 → 414
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))>
#<alt (fma.f64 x.re y.re (*.f64 x.im y.im))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))>
#<alt (/.f64 (*.f64 x.re y.re) y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)>
#<alt (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))>
#<alt (/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)>
#<alt (-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))>
Outputs
#<alt (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt x.im>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))>
#<alt (+.f64 x.im (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re))) y.re)) (*.f64 x.im y.im)) y.re)))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))))>
#<alt (+.f64 x.re (*.f64 y.im (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))))>
#<alt x.im>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im))) y.im)) (*.f64 x.re y.re)) y.im)))>
#<alt (*.f64 x.im y.im)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 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)))))>
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Calls

123 calls:

TimeVariablePointExpression
3.0ms
y.re
@-inf
(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms
y.im
@-inf
(/ (* x.re y.re) y.im)
3.0ms
x.im
@-inf
(/ (- (* y.re x.re) (* x.im (/ (pow y.re 2) y.im))) y.im)
2.0ms
x.re
@0
(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms
x.re
@inf
(/ (+ x.im (/ (* x.re y.re) y.im)) y.im)

rewrite146.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
249×log1p-expm1-u
249×expm1-log1p-u
243×add-cube-cbrt
241×add-exp-log
241×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034430
1580412
Stop Event
node limit
Counts
12 → 412
Calls
Call 1
Inputs
(/.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))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 (*.f64 x.re y.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)
(*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))
(/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 2 binary64))) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(+.f64 (*.f64 (*.f64 x.re y.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.im y.im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.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))) (cbrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.re 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))) (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))
(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)))))
(cbrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(log1p.f64 (expm1.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(exp.f64 (log.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(/.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 1 binary64)) (neg.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)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re y.re (*.f64 x.im y.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 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(/.f64 (*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 1 binary64)) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (neg.f64 (hypot.f64 y.re y.im)))
(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))
(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 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (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 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))))
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(+.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(+.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (neg.f64 x.im) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(+.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 2 binary64))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(+.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (neg.f64 (*.f64 (/.f64 y.re (sqrt.f64 y.im)) (sqrt.f64 x.im))) (*.f64 (/.f64 y.re (sqrt.f64 y.im)) (sqrt.f64 x.im)) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(+.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (+.f64 (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(+.f64 (fma.f64 x.re y.re (neg.f64 (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 y.re x.re (neg.f64 (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x.re y.re) (neg.f64 (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re y.re)) (neg.f64 (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x.re y.re)) (sqrt.f64 (*.f64 x.re y.re)) (neg.f64 (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x.re y.re) #s(literal 1 binary64)) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (+.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.f64 x.re y.re))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re y.re (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x.re y.re)) (*.f64 (/.f64 y.re (sqrt.f64 y.im)) (sqrt.f64 x.im))) (-.f64 (sqrt.f64 (*.f64 x.re y.re)) (*.f64 (/.f64 y.re (sqrt.f64 y.im)) (sqrt.f64 x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (+.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.f64 x.re y.re)))) (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 (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 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (+.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.f64 x.re y.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 2 binary64))) (fma.f64 x.re y.re (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (+.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.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 (pow.f64 y.re #s(literal 2 binary64)) y.im)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.re y.re (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)))) (*.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (*.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))) (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))) (-.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(exp.f64 (log.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 1 binary64)))
(fma.f64 x.re y.re (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(fma.f64 y.re x.re (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(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 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(fma.f64 (sqrt.f64 (*.f64 x.re y.re)) (sqrt.f64 (*.f64 x.re y.re)) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))

simplify346.0ms (3.4%)

Algorithm
egg-herbie
Rules
571×times-frac
395×*-commutative
341×distribute-rgt-in
341×distribute-lft-in
219×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0142543136
1396541675
Stop Event
node limit
Counts
826 → 896
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)))) (*.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (*.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))) (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))) (-.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(exp.f64 (log.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 1 binary64)))
(fma.f64 x.re y.re (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(fma.f64 y.re x.re (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(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 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(fma.f64 (sqrt.f64 (*.f64 x.re y.re)) (sqrt.f64 (*.f64 x.re y.re)) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
Outputs
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 y.re x.re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.re x.re))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 y.re x.re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.re x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))) (neg.f64 x.re))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))))
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))
(+.f64 x.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))))
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))))
(+.f64 x.re (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))
(-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re)))
(*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)) (*.f64 x.im y.im)) y.re)))
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(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 2 binary64))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(log.f64 (exp.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) #s(literal 3 binary64)))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(exp.f64 (log.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 1 binary64)))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(fma.f64 x.re y.re (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(fma.f64 y.re x.re (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(fma.f64 x.re y.re (fma.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(fma.f64 x.re y.re (fma.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) (fma.f64 (neg.f64 x.im) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(fma.f64 x.re y.re (fma.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(fma.f64 x.re y.re (fma.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) (fma.f64 (neg.f64 x.im) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(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 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.re x.re)) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.re x.re))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (sqrt.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))
(fma.f64 x.re y.re (fma.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) (fma.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(fma.f64 x.re y.re (fma.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im)) (fma.f64 (neg.f64 x.im) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))))
(fma.f64 (sqrt.f64 (*.f64 x.re y.re)) (sqrt.f64 (*.f64 x.re y.re)) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 y.im))))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))

eval527.0ms (5.2%)

Compiler

Compiled 20841 to 9861 computations (52.7% saved)

prune288.0ms (2.8%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New9509959
Fresh279
Picked235
Done000
Total95419973
Accuracy
100.0%
Counts
973 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.9%
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
22.1%
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
51.8%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
52.7%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
53.8%
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im)) y.im)
56.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
58.4%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
24.4%
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
37.9%
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
37.9%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
53.8%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.2%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
39.9%
(/.f64 x.re y.re)
45.2%
(/.f64 x.im y.im)
77.5%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
59.5%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
30.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re))
29.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re)))))
30.0%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
Compiler

Compiled 529 to 324 computations (38.8% saved)

localize181.0ms (1.8%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 y.im (hypot.f64 y.re y.im))
97.8%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
100.0%
(+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))
93.3%
(*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im))))
89.8%
(*.f64 x.re (/.f64 y.re x.im))
64.7%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
100.0%
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
99.5%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
93.2%
(*.f64 x.im (/.f64 y.im y.re))
99.9%
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
99.2%
(fma.f64 x.re y.re (*.f64 x.im y.im))
78.5%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Compiler

Compiled 163 to 26 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
Operation ival-div, time spent: 60.0ms, 60.0% of total-time
Operation ival-mult, time spent: 17.0ms, 17.0% of total-time
Operation composed, time spent: 12.0ms, 12.0% of total-time
Operation ival-add, time spent: 7.0ms, 7.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 2.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series51.0ms (0.5%)

Counts
10 → 420
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))>
#<alt (*.f64 x.im (/.f64 y.im y.re))>
#<alt (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)>
#<alt (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))>
#<alt (/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 x.re (/.f64 y.re x.im))>
#<alt (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im))))>
#<alt (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))>
#<alt (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))>
#<alt (/.f64 y.im (hypot.f64 y.re y.im))>
Outputs
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<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)))))>
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Calls

105 calls:

TimeVariablePointExpression
6.0ms
y.re
@0
(* x.im (/ y.im y.re))
5.0ms
x.im
@0
(/ (* x.im (+ y.im (* x.re (/ y.re x.im)))) (+ (* y.re y.re) (* y.im y.im)))
2.0ms
y.re
@0
(/ y.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms
x.im
@-inf
(/ (* x.im (+ y.im (* x.re (/ y.re x.im)))) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.re
@-inf
(/ (* x.im (+ y.im (* x.re (/ y.re x.im)))) (+ (* y.re y.re) (* y.im y.im)))

rewrite139.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
263×log1p-expm1-u
263×expm1-log1p-u
261×add-cube-cbrt
259×add-exp-log
259×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032375
1570340
Stop Event
node limit
Counts
10 → 317
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 y.re x.im))
(*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im))))
(+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 y.im (hypot.f64 y.re y.im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.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 (/.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 (/.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 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (neg.f64 (hypot.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (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) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (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 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (cbrt.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 (cbrt.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 (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 (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)) (cbrt.f64 (pow.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 (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))) (cbrt.f64 (pow.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))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.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 x.re y.re (*.f64 x.im y.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 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (cbrt.f64 (hypot.f64 y.re y.im))))
(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 #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)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(neg.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (neg.f64 (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)))
(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))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (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 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re)))) #s(literal 1 binary64))
(/.f64 x.im (/.f64 y.re y.im))
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im y.im)))
(/.f64 (neg.f64 (*.f64 x.im y.im)) (neg.f64 y.re))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y.im y.re)) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)) (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))
(*.f64 (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) y.re))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (cbrt.f64 y.re)))
(pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (neg.f64 y.re)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) y.re))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))) (/.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
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(*.f64 (+.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y.im y.im (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (-.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im)))))
(*.f64 (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y.im (/.f64 (*.f64 x.re y.re) x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y.im y.im (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (-.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im))) (+.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y.im (/.f64 (*.f64 x.re y.re) x.im)) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 3 binary64))) (fma.f64 y.im y.im (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (-.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 2 binary64))) (-.f64 y.im (/.f64 (*.f64 x.re y.re) x.im)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y.im y.im (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (-.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 2 binary64)))) (neg.f64 (-.f64 y.im (/.f64 (*.f64 x.re y.re) x.im))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im))
(pow.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(fma.f64 (/.f64 y.re x.im) x.re y.im)
(fma.f64 #s(literal 1 binary64) y.im (/.f64 (*.f64 x.re y.re) x.im))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) x.im) y.im)
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 y.im) (/.f64 (*.f64 x.re y.re) x.im))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x.re y.re) x.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x.re y.re) x.im)) y.im)
(fma.f64 (sqrt.f64 (/.f64 (*.f64 x.re y.re) x.im)) (sqrt.f64 (/.f64 (*.f64 x.re y.re) x.im)) y.im)
(fma.f64 (sqrt.f64 y.im) (sqrt.f64 y.im) (/.f64 (*.f64 x.re y.re) x.im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 x.im (*.f64 (/.f64 (hypot.f64 y.re y.im) y.im) (hypot.f64 y.re y.im)))
(/.f64 y.im (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) y.im) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.im y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))))
(/.f64 (neg.f64 y.im) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 x.im) (*.f64 (/.f64 (hypot.f64 y.re y.im) y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) x.im) (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.im #s(literal 1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 (*.f64 y.im (neg.f64 x.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 y.im) x.im) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 y.im) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 (*.f64 (neg.f64 y.im) (neg.f64 x.im)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 x.im #s(literal 1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 (*.f64 x.im (neg.f64 y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) y.im) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 (*.f64 (neg.f64 x.im) (neg.f64 y.im)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (*.f64 x.im y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) x.im)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))) (neg.f64 (hypot.f64 y.re y.im)))
(pow.f64 (/.f64 (*.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 (*.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 (*.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 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.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 (*.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 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.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 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 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 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 y.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 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 y.im (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 y.im) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) y.im) #s(literal -1 binary64))
(neg.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))))
(neg.f64 (/.f64 (neg.f64 y.im) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)))

simplify384.0ms (3.8%)

Algorithm
egg-herbie
Rules
706×associate-*r*
638×times-frac
515×fma-define
277×*-commutative
271×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113835413
1313033630
Stop Event
node limit
Counts
737 → 667
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)
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(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(fma.f64 (/.f64 y.re x.im) x.re y.im)
(fma.f64 #s(literal 1 binary64) y.im (/.f64 (*.f64 x.re y.re) x.im))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) x.im) y.im)
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 y.im) (/.f64 (*.f64 x.re y.re) x.im))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x.re y.re) x.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 x.re y.re) x.im)) y.im)
(fma.f64 (sqrt.f64 (/.f64 (*.f64 x.re y.re) x.im)) (sqrt.f64 (/.f64 (*.f64 x.re y.re) x.im)) y.im)
(fma.f64 (sqrt.f64 y.im) (sqrt.f64 y.im) (/.f64 (*.f64 x.re y.re) x.im))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 x.im (*.f64 (/.f64 (hypot.f64 y.re y.im) y.im) (hypot.f64 y.re y.im)))
(/.f64 y.im (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) y.im) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.im y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))))
(/.f64 (neg.f64 y.im) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 x.im) (*.f64 (/.f64 (hypot.f64 y.re y.im) y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) x.im) (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.im #s(literal 1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 (*.f64 y.im (neg.f64 x.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 y.im) x.im) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 y.im) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 (*.f64 (neg.f64 y.im) (neg.f64 x.im)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 x.im #s(literal 1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 (*.f64 x.im (neg.f64 y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) y.im) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 (*.f64 (neg.f64 x.im) (neg.f64 y.im)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (*.f64 x.im y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) x.im)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))) (neg.f64 (hypot.f64 y.re y.im)))
(pow.f64 (/.f64 (*.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 (*.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 (*.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 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.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 (*.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 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.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 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 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 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 y.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 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 y.im (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 y.im) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) y.im) #s(literal -1 binary64))
(neg.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))))
(neg.f64 (/.f64 (neg.f64 y.im) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 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 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 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 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 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 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 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 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 (+.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 (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.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 (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.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 (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 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 (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) (neg.f64 x.re))
(*.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 (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) (neg.f64 x.re))
(*.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 (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) (neg.f64 x.re))
(/.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))
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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(/.f64 y.im y.re)
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(*.f64 #s(literal -1 binary64) (/.f64 y.im y.re))
(/.f64 (neg.f64 y.im) y.re)
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(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im #s(literal 1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 x.im (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) y.im))
(/.f64 x.im (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) y.im))
(/.f64 (*.f64 x.im (neg.f64 y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re 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 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) y.im) (neg.f64 (pow.f64 (hypot.f64 y.re 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 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im)))
(/.f64 x.im (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) y.im))
(/.f64 x.im (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) y.im))
(/.f64 (*.f64 (neg.f64 x.im) (neg.f64 y.im)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re 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 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 x.im y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re 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 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) x.im)) (neg.f64 (hypot.f64 y.re 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 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))) (neg.f64 (hypot.f64 y.re 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 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 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 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 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 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 (*.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))
(/.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 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (exp.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re 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 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re 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 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 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 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.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 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re 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 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re 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 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 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 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 y.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(*.f64 #s(literal 1 binary64) (/.f64 y.im (hypot.f64 y.re y.im)))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 (hypot.f64 y.re y.im))))
(/.f64 (/.f64 y.im (cbrt.f64 (hypot.f64 y.im y.re))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 y.im (sqrt.f64 (hypot.f64 y.re y.im))))
(/.f64 (/.f64 y.im (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 y.im) (sqrt.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y.im) (sqrt.f64 (hypot.f64 y.re y.im)))) (sqrt.f64 (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (cbrt.f64 y.im) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) (hypot.f64 y.re y.im)))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 (hypot.f64 y.im y.re))))
(pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(pow.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(pow.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) y.im) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) y.im))
(neg.f64 (/.f64 y.im (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(neg.f64 (/.f64 (neg.f64 y.im) (hypot.f64 y.re y.im)))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(sqrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y.im (hypot.f64 y.im y.re)))
(log.f64 (exp.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im (hypot.f64 y.re y.im)))))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(cbrt.f64 (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(expm1.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (/.f64 y.im (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(exp.f64 (log.f64 (/.f64 y.im (hypot.f64 y.re y.im))))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))

eval296.0ms (2.9%)

Compiler

Compiled 17380 to 6628 computations (61.9% saved)

prune252.0ms (2.5%)

Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New8385843
Fresh2911
Picked235
Done033
Total84220862
Accuracy
100.0%
Counts
862 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.1%
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
59.4%
(/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
59.5%
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im))
51.8%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
51.9%
(/.f64 (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im)) y.re)
52.7%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
53.8%
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im)) y.im)
56.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
58.4%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
24.4%
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
37.9%
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
37.9%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
53.8%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.2%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
30.1%
(/.f64 (neg.f64 x.im) (hypot.f64 y.re y.im))
39.9%
(/.f64 x.re y.re)
45.2%
(/.f64 x.im y.im)
77.5%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
19.7%
(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
30.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re))
Compiler

Compiled 478 to 291 computations (39.1% saved)

localize249.0ms (2.4%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
100.0%
(-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re)
92.4%
(/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)
91.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re))
99.2%
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im)) y.im)
99.1%
(*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))
94.7%
(/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im)
92.0%
(*.f64 x.im (/.f64 y.re y.im))
100.0%
(+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im))
99.5%
(/.f64 (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im)) y.re)
91.1%
(*.f64 (/.f64 x.im y.re) y.im)
98.0%
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
92.2%
(*.f64 y.re (/.f64 x.re y.im))
99.7%
(*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
99.2%
(fma.f64 x.re y.re (*.f64 x.im y.im))
78.4%
(/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))
Compiler

Compiled 222 to 37 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
Operation ival-mult, time spent: 27.0ms, 34.0% of total-time
Operation ival-div, time spent: 23.0ms, 29.0% of total-time
Operation composed, time spent: 16.0ms, 20.0% of total-time
Operation ival-add, time spent: 6.0ms, 8.0% of total-time
Operation ival-sub, time spent: 3.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series105.0ms (1%)

Counts
15 → 660
Calls
Call 1
Inputs
#<alt (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))>
#<alt (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))))>
#<alt (*.f64 y.re (/.f64 x.re y.im))>
#<alt (/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)>
#<alt (*.f64 (/.f64 x.im y.re) y.im)>
#<alt (/.f64 (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im)) y.re)>
#<alt (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im))>
#<alt (*.f64 x.im (/.f64 y.re y.im))>
#<alt (/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im)>
#<alt (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im)) y.im)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re))>
#<alt (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)>
#<alt (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re)>
Outputs
#<alt (/.f64 #s(literal 1 binary64) x.im)>
#<alt (+.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 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) x.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.im))>
#<alt (/.f64 #s(literal 1 binary64) x.re)>
#<alt (+.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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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) x.re) (/.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)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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) x.re) (/.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)))))))))>
#<alt (/.f64 #s(literal -1 binary64) x.re)>
#<alt (-.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 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))) y.re))) y.re)) (/.f64 #s(literal 1 binary64) x.re))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64))))) y.re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)))) y.re))) y.re)) (/.f64 #s(literal 1 binary64) x.re))>
#<alt (/.f64 #s(literal 1 binary64) x.re)>
#<alt (+.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 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) x.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.re))>
#<alt (/.f64 #s(literal 1 binary64) x.im)>
#<alt (+.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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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) x.im) (/.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)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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) x.im) (/.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)))))))))>
#<alt (/.f64 #s(literal -1 binary64) x.im)>
#<alt (-.f64 (/.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 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im))) y.im))) y.im)) (/.f64 #s(literal 1 binary64) x.im))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 2 binary64))))) y.im)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)))) y.im))) y.im)) (/.f64 #s(literal 1 binary64) x.im))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re y.re)) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) x.re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 (/.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 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) x.re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 (/.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 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))) x.re)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.re y.re)) (sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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Calls

165 calls:

TimeVariablePointExpression
14.0ms
y.im
@inf
(/ (+ x.im (/ (* y.re (- x.re (* x.im (/ y.re y.im)))) y.im)) y.im)
5.0ms
x.re
@inf
(- (/ (* x.im (neg y.im)) y.re) x.re)
3.0ms
x.im
@-inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
2.0ms
x.re
@inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
2.0ms
y.im
@inf
(* x.im (/ y.re y.im))

rewrite137.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
334×log1p-expm1-u
334×expm1-log1p-u
332×add-cube-cbrt
330×add-exp-log
330×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040611
1720567
Stop Event
node limit
Counts
15 → 310
Calls
Call 1
Inputs
(/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(*.f64 y.re (/.f64 x.re y.im))
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(*.f64 (/.f64 x.im y.re) y.im)
(/.f64 (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im)) y.re)
(+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im))
(*.f64 x.im (/.f64 y.re y.im))
(/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im)
(*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im)) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re))
(/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)
(-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y.re y.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.re y.re (*.f64 y.im x.im))))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.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 (fma.f64 x.re y.re (*.f64 y.im x.im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.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 y.im x.im)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 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 y.im x.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.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 x.re y.re (*.f64 y.im x.im))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))))) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))))))
(*.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.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 x.re y.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 x.re y.re (*.f64 y.im x.im)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal -1 binary64))
(pow.f64 (/.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 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 x.re y.re (*.f64 y.im x.im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.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 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 x.re y.re (*.f64 y.im x.im))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal 1 binary64)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.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 y.im x.im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.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 y.im x.im)))))))
(cbrt.f64 (pow.f64 (/.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 y.im x.im)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.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 y.im x.im))))))
(log1p.f64 (expm1.f64 (/.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 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 x.re y.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 x.re y.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 x.re y.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 x.re y.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 x.re y.re (*.f64 y.im x.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.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 x.re y.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 x.re y.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 x.re y.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 x.re y.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 x.re y.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 x.re y.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 x.re y.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 x.re y.re (*.f64 y.im x.im))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.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 x.re y.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 x.re y.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 x.re y.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 x.re y.re (*.f64 y.im x.im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (/.f64 x.re y.im)))) #s(literal 1 binary64))
(/.f64 (*.f64 y.re x.re) y.im)
(pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (/.f64 x.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x.re y.im)) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (/.f64 x.re y.im)))))
(cbrt.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.re (/.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (*.f64 y.re (/.f64 x.re y.im))))
(exp.f64 (log.f64 (*.f64 y.re (/.f64 x.re y.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (/.f64 x.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)))) #s(literal 1 binary64))
(*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))
(*.f64 #s(literal 1 binary64) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)))
(*.f64 (*.f64 y.re (/.f64 x.re y.im)) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))))
(*.f64 (sqrt.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (sqrt.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))))
(pow.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im (*.f64 y.re (/.f64 x.re y.im))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.re) (/.f64 (/.f64 x.re y.im) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)))))
(cbrt.f64 (pow.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))))
(log1p.f64 (expm1.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))))
(exp.f64 (log.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im x.im)))
(/.f64 (*.f64 y.im x.im) y.re)
(/.f64 (*.f64 y.im x.im) (neg.f64 y.re))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 y.im x.im)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re))
(*.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)) (sqrt.f64 (/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)))
(pow.f64 (/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)) #s(literal 3 binary64))
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(pow.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re)))) #s(literal 1 binary64))
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)))
(*.f64 (/.f64 x.im y.re) y.im)
(*.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 y.im x.im)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 x.re))
(+.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (fma.f64 (neg.f64 (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re))
(+.f64 (fma.f64 x.im (/.f64 y.im y.re) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 x.im (/.f64 y.im y.re) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) (sqrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 y.im (/.f64 x.im y.re) x.re))
(pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(exp.f64 (log.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.im y.re) (neg.f64 x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 x.re))
(fma.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.re))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 x.re))
(fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 x.re))

simplify416.0ms (4.1%)

Algorithm
egg-herbie
Rules
509×distribute-lft-in
483×*-commutative
357×mul-1-neg
263×+-commutative
247×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0158652522
1491650604
Stop Event
node limit
Counts
970 → 901
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) x.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))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) x.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 #s(literal 1 binary64) x.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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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) x.re) (/.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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) x.re) (/.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 #s(literal -1 binary64) x.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 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))) y.re))) y.re)) (/.f64 #s(literal 1 binary64) x.re))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64))))) y.re)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)))) y.re))) y.re)) (/.f64 #s(literal 1 binary64) x.re))
(/.f64 #s(literal 1 binary64) x.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 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) x.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.re))
(/.f64 #s(literal 1 binary64) x.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))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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) x.im) (/.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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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) x.im) (/.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)))))))))
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(exp.f64 (log.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re)))) #s(literal 1 binary64))
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)))
(*.f64 (/.f64 x.im y.re) y.im)
(*.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 y.im x.im)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 x.re))
(+.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (fma.f64 (neg.f64 (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re))
(+.f64 (fma.f64 x.im (/.f64 y.im y.re) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 x.im (/.f64 y.im y.re) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 (*.f64 x.re #s(literal 1 binary64)))) (fma.f64 (neg.f64 x.re) #s(literal 1 binary64) (*.f64 x.re #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) (sqrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 y.im (/.f64 x.im y.re) x.re))
(pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(exp.f64 (log.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.im y.re) (neg.f64 x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 x.re))
(fma.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.re))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 x.re))
(fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 x.re))
Outputs
(/.f64 #s(literal 1 binary64) x.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))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (/.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) x.im))
(-.f64 (/.f64 #s(literal 1 binary64) x.im) (*.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (/.f64 y.re y.im)))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 binary64) x.im))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) y.im) (*.f64 y.re (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) x.im))
(fma.f64 y.re (-.f64 (*.f64 y.re (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))) (/.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) y.im)) (/.f64 #s(literal 1 binary64) x.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im))) (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) x.im))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) y.im) (*.f64 y.re (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) x.re) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) x.im))
(fma.f64 y.re (-.f64 (*.f64 y.re (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (fma.f64 y.re (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x.re) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))))) (/.f64 (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) y.im)) (/.f64 #s(literal 1 binary64) x.im))
(/.f64 #s(literal 1 binary64) x.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))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.im (*.f64 y.re (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x.re))
(-.f64 (/.f64 #s(literal 1 binary64) x.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re (pow.f64 x.re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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) x.re) (/.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)))))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.im (*.f64 y.re (pow.f64 x.re #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.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) x.re) (/.f64 (/.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))) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.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) x.re) (/.f64 (/.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))) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.im (*.f64 y.re (pow.f64 x.re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.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) x.re) (/.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)))))))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.im (*.f64 y.re (pow.f64 x.re #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.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) x.re) (/.f64 (/.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))) (pow.f64 y.re #s(literal 2 binary64))))))))
(-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.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) x.re) (/.f64 (/.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))) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 y.re (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) x.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 (*.f64 x.im (/.f64 y.im (*.f64 y.re (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x.re))
(fma.f64 x.im (/.f64 y.im (*.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) x.re))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))) y.re))) y.re)) (/.f64 #s(literal 1 binary64) x.re))
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(+.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (fma.f64 (neg.f64 (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re))
(+.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (+.f64 (neg.f64 x.re) x.re))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))))
(+.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (fma.f64 (neg.f64 (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re))
(+.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (+.f64 (neg.f64 x.re) x.re))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) (sqrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (fma.f64 x.re x.re (*.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (fma.f64 x.re x.re (*.f64 x.im (*.f64 (/.f64 y.im y.re) x.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 y.im (/.f64 x.im y.re) x.re))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 1 binary64))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) #s(literal 3 binary64))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(pow.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) #s(literal 2 binary64))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(log.f64 (exp.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(exp.f64 (log.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)) #s(literal 1 binary64)))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(fma.f64 x.im (/.f64 y.im y.re) (neg.f64 x.re))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 x.re))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(fma.f64 (*.f64 y.im x.im) (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.re))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 x.re))
(-.f64 (*.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))) x.re)
(fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 x.re))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)

eval455.0ms (4.5%)

Compiler

Compiled 26073 to 13529 computations (48.1% saved)

prune370.0ms (3.6%)

Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New1024111035
Fresh369
Picked235
Done066
Total1029261055
Accuracy
100.0%
Counts
1055 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.4%
(/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
59.5%
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im))
51.8%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
51.9%
(/.f64 (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im)) y.re)
52.7%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
56.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
53.8%
(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im))) y.im)
58.4%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
24.4%
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
37.9%
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
37.9%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
23.6%
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
53.8%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.2%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
11.9%
(/.f64 (neg.f64 x.im) y.re)
10.2%
(/.f64 x.re (neg.f64 y.re))
39.9%
(/.f64 x.re y.re)
11.8%
(/.f64 x.im y.re)
45.2%
(/.f64 x.im y.im)
39.6%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
23.6%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re (/.f64 y.re y.im))))
45.1%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
19.7%
(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
30.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re))
24.4%
(*.f64 (*.f64 y.re (/.f64 x.re y.im)) (/.f64 #s(literal 1 binary64) y.im))
21.8%
(*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))
Compiler

Compiled 757 to 355 computations (53.1% saved)

regimes207.0ms (2%)

Counts
40 → 2
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(*.f64 (*.f64 y.re (/.f64 x.re y.im)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re (/.f64 y.re 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 x.im y.re) y.im)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) 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.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (neg.f64 x.im) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re))
(/.f64 (+.f64 x.im (/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)) y.im)
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im))
(/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re)))))
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(*.f64 (/.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 (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 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

5 calls:

84.0ms
y.re
40.0ms
y.im
32.0ms
x.im
30.0ms
x.re
16.0ms
(/.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
81.0%3x.re
82.1%3x.im
88.6%5y.re
89.0%5y.im
87.8%2(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes131.0ms (1.3%)

Counts
36 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(*.f64 (*.f64 y.re (/.f64 x.re y.im)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re (/.f64 y.re 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 x.im y.re) y.im)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) 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.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (neg.f64 x.im) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) y.re) x.re))
(/.f64 (+.f64 x.im (/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)) y.im)
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.im))
(/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re)))))
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
Outputs
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

3 calls:

54.0ms
y.im
51.0ms
y.re
24.0ms
(/.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
86.1%5y.re
87.4%5y.im
83.0%5(/.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 29 to 19 computations (34.5% saved)

regimes48.0ms (0.5%)

Counts
23 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(*.f64 (*.f64 y.re (/.f64 x.re y.im)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re (/.f64 y.re 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 x.im y.re) y.im)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.re (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) y.im)) y.im)
Outputs
(/.f64 (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im)) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
Calls

2 calls:

28.0ms
y.im
18.0ms
y.re
Results
AccuracySegmentsBranch
82.3%3y.re
83.1%5y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes31.0ms (0.3%)

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

2 calls:

17.0ms
x.im
13.0ms
y.re
Results
AccuracySegmentsBranch
60.8%3x.im
81.9%3y.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes43.0ms (0.4%)

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

3 calls:

15.0ms
x.re
14.0ms
y.im
12.0ms
y.re
Results
AccuracySegmentsBranch
73.4%3y.im
62.0%4x.re
76.5%3y.re
Compiler

Compiled 15 to 12 computations (20% saved)

regimes23.0ms (0.2%)

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

2 calls:

11.0ms
y.im
10.0ms
y.re
Results
AccuracySegmentsBranch
65.7%3y.im
66.4%3y.re
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.re)
(/.f64 x.im y.im)
Calls

4 calls:

2.0ms
y.re
1.0ms
x.re
1.0ms
y.im
1.0ms
x.im
Results
AccuracySegmentsBranch
45.2%1x.re
45.2%1x.im
45.2%1y.im
47.6%2y.re
Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (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:

3.0ms
x.re
1.0ms
y.re
Results
AccuracySegmentsBranch
45.2%1x.re
45.2%1y.re
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3871317808802156e+285
+inf
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch91.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
1.167613441787364e+79
7.732480379430098e+86
20.0ms
2.0284417414613486e-96
2.516012054229547e-92
20.0ms
-1.5255402136630735e-158
-4.636830552287077e-161
21.0ms
-1.8987363396062357e+30
-6.355852926439375e+27
Results
76.0ms504×256valid
3.0ms23×256infinite
0.0ms256valid
Compiler

Compiled 1148 to 710 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
Operation ival-mult, time spent: 18.0ms, 63.0% of total-time
Operation ival-add, time spent: 6.0ms, 21.0% of total-time
Operation ival-div, time spent: 4.0ms, 14.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch51.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.950970547711912e+33
1.0129926436292947e+39
25.0ms
-6.579456228575793e-6
-1.1642999808589013e-12
Results
44.0ms285×256valid
0.0ms256infinite
0.0ms256valid
Compiler

Compiled 530 to 341 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-mult, time spent: 8.0ms, 61.0% of total-time
Operation ival-add, time spent: 3.0ms, 23.0% of total-time
Operation ival-div, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch53.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.950970547711912e+33
1.0129926436292947e+39
28.0ms
-6.579456228575793e-6
-1.1642999808589013e-12
Results
47.0ms287×256valid
0.0ms256valid
Compiler

Compiled 530 to 341 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
Operation ival-mult, time spent: 8.0ms, 48.0% of total-time
Operation ival-add, time spent: 7.0ms, 42.0% of total-time
Operation ival-div, time spent: 2.0ms, 12.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch51.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
1.950970547711912e+33
1.0129926436292947e+39
23.0ms
-0.018729790526749956
-6.579456228575793e-6
Results
45.0ms268×256valid
0.0ms256infinite
0.0ms256valid
Compiler

Compiled 400 to 272 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-mult, time spent: 11.0ms, 69.0% of total-time
Operation ival-add, time spent: 3.0ms, 19.0% of total-time
Operation ival-div, time spent: 2.0ms, 12.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch41.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
3.228734276904544e-12
6.365834781804903e-8
21.0ms
-1.5631413464156597e-34
-8.157825290423842e-38
Results
35.0ms249×256valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 282 to 209 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-mult, time spent: 7.0ms, 58.0% of total-time
Operation ival-add, time spent: 3.0ms, 25.0% of total-time
Operation ival-div, time spent: 2.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch75.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
75.0ms
-1.3020542854421126e+91
-9.047147944638034e+86
Results
72.0ms127×256valid
0.0ms256valid
Compiler

Compiled 154 to 113 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 3.0ms, 51.0% of total-time
Operation ival-div, time spent: 1.0ms, 17.0% of total-time
Operation ival-add, time spent: 1.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
088927
1111927
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.im #s(literal -1860000000000000076391898939392 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (if (<=.f64 y.im #s(literal -7172581642720031/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 3053105357605983/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 2700000000000000177537804058633432932314233312775077709074428568766181286728584658944 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.re #s(literal -5076543969084869/2361183241434822606848 binary64)) (/.f64 (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im)) y.re) (if (<=.f64 y.re #s(literal 85000000000000002867884413843144704 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -6800207735332289/37778931862957161709568 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 111999999999999992945195178715898707968 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -5188146770730811/288230376151711744 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 18499999999999999677977146996759199744 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.re #s(literal -3624524060580639/23384026197294446691258957323460528314494920687616 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 7118155225890937/618970019642690137449562112 binary64)) (/.f64 x.im y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.re #s(literal -13000000000000000129684526030113686114382619441795556603530616765217403419599914412562972672 binary64)) (/.f64 x.im y.re) (/.f64 x.im y.im))
(/.f64 x.im y.im)
Outputs
(if (<=.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.im #s(literal -1860000000000000076391898939392 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (if (<=.f64 y.im #s(literal -7172581642720031/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 3053105357605983/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 2700000000000000177537804058633432932314233312775077709074428568766181286728584658944 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.re #s(literal -5076543969084869/2361183241434822606848 binary64)) (/.f64 (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im)) y.re) (if (<=.f64 y.re #s(literal 85000000000000002867884413843144704 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -5076543969084869/2361183241434822606848 binary64)) (/.f64 (+.f64 x.re (*.f64 y.im (/.f64 x.im y.re))) y.re) (if (<=.f64 y.re #s(literal 85000000000000002867884413843144704 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -6800207735332289/37778931862957161709568 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 111999999999999992945195178715898707968 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(if (or (<=.f64 y.re #s(literal -6800207735332289/37778931862957161709568 binary64)) (not (<=.f64 y.re #s(literal 111999999999999992945195178715898707968 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.re #s(literal -5188146770730811/288230376151711744 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 18499999999999999677977146996759199744 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -5188146770730811/288230376151711744 binary64)) (not (<=.f64 y.re #s(literal 18499999999999999677977146996759199744 binary64)))) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.re #s(literal -3624524060580639/23384026197294446691258957323460528314494920687616 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 7118155225890937/618970019642690137449562112 binary64)) (/.f64 x.im y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -3624524060580639/23384026197294446691258957323460528314494920687616 binary64)) (not (<=.f64 y.re #s(literal 7118155225890937/618970019642690137449562112 binary64)))) (/.f64 x.re y.re) (/.f64 x.im y.im))
(if (<=.f64 y.re #s(literal -13000000000000000129684526030113686114382619441795556603530616765217403419599914412562972672 binary64)) (/.f64 x.im y.re) (/.f64 x.im y.im))
(/.f64 x.im y.im)
Compiler

Compiled 257 to 139 computations (45.9% saved)

soundness1.3s (12.8%)

Rules
819×log1p-expm1-u
819×expm1-log1p-u
706×associate-*r*
638×times-frac
571×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113835413
1313033630
032375
1570340
053412258
1139311542
2443611482
0142543136
1396541675
034430
1580412
018107
125497
2354397
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 410 to 160 computations (61% saved)

end0.0ms (0%)

preprocess192.0ms (1.9%)

Compiler

Compiled 496 to 182 computations (63.3% saved)

Profiling

Loading profile data...