_divideComplex, real part

Time bar (total: 8.4s)

analyze35.0ms (0.4%)

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: 17.0ms
Operation ival-mult, time spent: 11.0ms, 64.0% of total-time
Operation ival-add, time spent: 4.0ms, 23.0% 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

sample1.6s (18.7%)

Results
1.4s7770×256valid
65.0ms485×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 540.0ms
Operation ival-mult, time spent: 366.0ms, 68.0% of total-time
Operation ival-add, time spent: 101.0ms, 19.0% of total-time
Operation ival-div, time spent: 64.0ms, 12.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time
Bogosity

preprocess573.0ms (6.9%)

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
931(-3.127180593990217e-211 0.494911979422216 -4.645274475901889e+186 -1.9449751586775104e+51)1(-2.868100696989172e-131 1.5631206943967202e-191 -2.6769326281804554e-229 1.3066623037969273e-121)(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40-0-(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
00-0-x.im
00-0-y.im
00-0-(*.f64 x.im y.im)
00-0-y.re
00-0-x.re
00-0-(*.f64 y.im y.im)
00-0-(*.f64 x.re y.re)
00-0-(*.f64 y.re y.re)
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070976
1162976
2263976
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: 66.0ms
Operation ival-mult, time spent: 51.0ms, 78.0% of total-time
Operation ival-add, time spent: 6.0ms, 9.0% of total-time
Operation const, time spent: 5.0ms, 8.0% of total-time
Operation ival-div, time spent: 4.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(/.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)

localize97.0ms (1.2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
98.6%
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
66.9%
(/.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: 61.0ms
Operation ival-mult, time spent: 56.0ms, 92.0% of total-time
Operation ival-add, time spent: 3.0ms, 5.0% of total-time
Operation ival-div, time spent: 2.0ms, 3.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series17.0ms (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
2.0ms
x.im
@inf
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.re
@0
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.re
@-inf
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.im
@0
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
x.re
@inf
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite247.0ms (3%)

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)))

simplify152.0ms (1.8%)

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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(*.f64 x.im y.im)
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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))

eval87.0ms (1%)

Compiler

Compiled 5695 to 2211 computations (61.2% saved)

prune64.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New27012282
Fresh000
Picked101
Done000
Total27112283
Accuracy
99.5%
Counts
283 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
57.9%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
47.4%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
50.8%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
40.8%
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
40.8%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.1%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.7%
(/.f64 x.re y.re)
40.9%
(/.f64 x.im y.im)
53.8%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
80.2%
(*.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)))
55.4%
(*.f64 x.im (+.f64 (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re (/.f64 y.re x.im)) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
Compiler

Compiled 344 to 212 computations (38.4% saved)

localize148.0ms (1.8%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
76.5%
(/.f64 (*.f64 x.im y.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)))
98.1%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
92.3%
(*.f64 x.im (/.f64 y.im y.re))
99.9%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
92.9%
(*.f64 x.re (/.f64 y.re y.im))
100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
99.6%
(fma.f64 x.re y.re (*.f64 x.im y.im))
99.5%
(*.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)))
81.2%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Compiler

Compiled 144 to 28 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
Operation ival-mult, time spent: 24.0ms, 33.0% of total-time
Operation composed, time spent: 21.0ms, 29.0% of total-time
Operation ival-div, time spent: 17.0ms, 24.0% of total-time
Operation ival-add, time spent: 7.0ms, 10.0% 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

series62.0ms (0.7%)

Counts
10 → 420
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))>
#<alt (fma.f64 x.re y.re (*.f64 x.im y.im))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))>
#<alt (*.f64 x.re (/.f64 y.re y.im))>
#<alt (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) 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 y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im 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 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (*.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))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x.im y.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 x.im y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x.im y.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 x.im y.im)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
Calls

105 calls:

TimeVariablePointExpression
7.0ms
x.re
@0
(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
4.0ms
x.im
@0
(/ (* x.im y.im) (+ (* y.re y.re) (* y.im y.im)))
4.0ms
y.im
@0
(* x.re (/ y.re y.im))
3.0ms
y.im
@-inf
(* x.re (/ y.re y.im))
1.0ms
x.im
@inf
(/ (* x.im y.im) (+ (* y.re y.re) (* y.im y.im)))

rewrite248.0ms (3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
031344
1523322
27836322
Stop Event
node limit
Counts
10 → 338
Calls
Call 1
Inputs
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re 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 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 y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.re y.re)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im y.im)))
(+.f64 (*.f64 (*.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (*.f64 (*.f64 x.im y.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re y.re (*.f64 x.im y.im)))
(*.f64 (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))) (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 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (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 (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 #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))) (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 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(*.f64 (*.f64 (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)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (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 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(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))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (*.f64 x.im y.im)) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x.im y.im)) (*.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (*.f64 x.im (neg.f64 y.im)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (*.f64 x.im y.im))
(*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 x.im y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 x.im #s(literal 1 binary64)) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (/.f64 x.im (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im #s(literal 1 binary64)) (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 x.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 x.im y.im) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.im y.im)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x.im y.im) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64)))

simplify283.0ms (3.4%)

Algorithm
egg-herbie
Rules
586×fma-define
541×times-frac
333×*-commutative
329×distribute-rgt-in
321×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0123634848
1335333487
Stop Event
node limit
Counts
758 → 758
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))))
(*.f64 #s(literal -1 binary64) x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re)))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re))) y.re)) (*.f64 x.im y.im)) y.re)))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))))
(+.f64 x.re (*.f64 y.im (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im)))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))))
(*.f64 #s(literal -1 binary64) x.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im)))
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im))) y.im)) (*.f64 x.re y.re)) y.im)))
(/.f64 x.im y.im)
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (*.f64 x.im y.im)) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x.im y.im)) (*.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (*.f64 x.im (neg.f64 y.im)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (*.f64 x.im y.im))
(*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 x.im y.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 x.im #s(literal 1 binary64)) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (/.f64 x.im (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im #s(literal 1 binary64)) (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 x.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 x.im y.im) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.im y.im)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x.im y.im) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64)))
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)))) (fma.f64 x.im (/.f64 y.im x.re) y.re)))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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)))) (fma.f64 x.im (/.f64 y.im x.re) y.re)))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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)))) (fma.f64 x.im (/.f64 y.im x.re) y.re)))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 x.re (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (/.f64 y.im x.re) y.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 x.re (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (/.f64 y.im x.re) y.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 x.re (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (/.f64 y.im x.re) y.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))))
(fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im)
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))
(fma.f64 y.re (fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im)) x.im)
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))
(+.f64 x.re (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.im y.re))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) (pow.f64 y.re #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.im y.re) x.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 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.im y.re)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (fma.f64 x.im (/.f64 y.im y.re) x.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)))
(neg.f64 (fma.f64 x.im (/.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 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) y.re) (*.f64 x.im y.im)) y.re)))
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(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (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 (sqrt.f64 (*.f64 x.im y.im)) (/.f64 (sqrt.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))))
(*.f64 (sqrt.f64 (*.f64 x.im y.im)) (*.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(*.f64 (*.f64 x.im (neg.f64 y.im)) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (*.f64 x.im y.im))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(*.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.im)
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (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 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.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) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)))))
(*.f64 (/.f64 x.im (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 4 binary64))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.im (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 (/.f64 x.im #s(literal 1 binary64)) (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(*.f64 (/.f64 x.im (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)))))
(*.f64 (/.f64 x.im (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 4 binary64))) (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im #s(literal 1 binary64)) (/.f64 x.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))))
(*.f64 (/.f64 y.im (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 x.im (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 4 binary64))) (/.f64 x.im (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 x.im y.im)) (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 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.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))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) #s(literal 1 binary64)) (/.f64 (sqrt.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))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 4 binary64))) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (cbrt.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 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 x.im (/.f64 y.im (+.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 x.im (/.f64 y.im (+.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 (*.f64 x.im y.im) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (*.f64 x.im (/.f64 y.im (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 3 binary64))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im 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))
(/.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 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.im y.im)) #s(literal -1 binary64))
(/.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 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.im y.im)))
(neg.f64 (/.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))))
(neg.f64 (/.f64 (*.f64 x.im (neg.f64 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))))
(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 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(*.f64 x.im (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))

eval241.0ms (2.9%)

Compiler

Compiled 16180 to 7161 computations (55.7% saved)

prune173.0ms (2.1%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New8129821
Fresh347
Picked145
Done000
Total81617833
Accuracy
99.9%
Counts
833 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.9%
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
57.9%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
47.4%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
50.8%
(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
50.8%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
50.1%
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
40.8%
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
40.8%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.1%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.7%
(/.f64 x.re y.re)
40.9%
(/.f64 x.im y.im)
80.0%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
57.1%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
38.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.im y.re) x.re))
27.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
27.2%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
23.2%
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
Compiler

Compiled 428 to 268 computations (37.4% saved)

localize181.0ms (2.2%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 y.im (hypot.f64 y.re y.im))
100.0%
(/.f64 x.im (hypot.f64 y.re y.im))
98.1%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
100.0%
(+.f64 x.re (/.f64 x.im (/.f64 y.re y.im)))
98.1%
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
92.4%
(/.f64 x.im (/.f64 y.re y.im))
99.6%
(fma.f64 x.re y.re (*.f64 x.im y.im))
99.5%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
99.2%
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
81.2%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Compiler

Compiled 142 to 36 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
Operation ival-pow, time spent: 31.0ms, 31.0% of total-time
Operation ival-div, time spent: 30.0ms, 30.0% of total-time
Operation composed, time spent: 15.0ms, 15.0% of total-time
Operation ival-mult, time spent: 13.0ms, 13.0% of total-time
Operation ival-add, time spent: 6.0ms, 6.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 2.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time

series35.0ms (0.4%)

Counts
9 → 336
Calls
Call 1
Inputs
#<alt (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))>
#<alt (/.f64 x.im (/.f64 y.re y.im))>
#<alt (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)>
#<alt (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)>
#<alt (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))>
#<alt (/.f64 x.im (hypot.f64 y.re y.im))>
#<alt (/.f64 y.im (hypot.f64 y.re y.im))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) y.im)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)>
#<alt (/.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (/.f64 #s(literal 1 binary64) y.im)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im)>
#<alt (/.f64 #s(literal -1 binary64) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))))))) (/.f64 x.im y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (*.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))))) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (*.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))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))))) y.im))>
#<alt (/.f64 y.im y.re)>
#<alt (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt (*.f64 y.im (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 (+.f64 y.im (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)>
#<alt (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.im (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))>
Calls

84 calls:

TimeVariablePointExpression
6.0ms
y.im
@-inf
(/ y.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms
x.im
@0
(* (/ y.im (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))
1.0ms
x.im
@0
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) x.im)
1.0ms
y.re
@inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) x.im)
1.0ms
y.im
@inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) x.im)

rewrite218.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1103×log1p-expm1-u
197×expm1-log1p-u
192×add-exp-log
192×add-log-exp
192×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031296
1465258
26485258
Stop Event
node limit
Counts
9 → 341
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 x.im (/.f64 y.re y.im))
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
(+.f64 x.re (/.f64 x.im (/.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.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 #s(literal 1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
(*.f64 (/.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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/4 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/4 binary64)))
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(/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im)))
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(pow.f64 (/.f64 (hypot.f64 y.re y.im) x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im (neg.f64 (hypot.f64 y.re y.im))))
(neg.f64 (/.f64 (neg.f64 x.im) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.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 x.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #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 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 y.im (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) y.im)
(*.f64 #s(literal 1 binary64) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.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 y.im #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (cbrt.f64 y.im) (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 y.im) (/.f64 (sqrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (/.f64 #s(literal 1 binary64) (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 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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))))
(*.f64 (*.f64 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)))
(*.f64 (*.f64 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))))
(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 (/.f64 #s(literal 1 binary64) (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)))

simplify261.0ms (3.1%)

Algorithm
egg-herbie
Rules
542×fma-define
432×times-frac
416×associate-*r/
367×associate-*l/
311×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0118031438
1318429698
Stop Event
node limit
Counts
677 → 722
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) y.im)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 #s(literal -1 binary64) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))
(/.f64 #s(literal 1 binary64) y.re)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im)
(/.f64 #s(literal -1 binary64) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 x.re y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 x.im y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.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 x.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #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 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 y.im (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) y.im)
(*.f64 #s(literal 1 binary64) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.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 y.im #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (cbrt.f64 y.im) (/.f64 #s(literal 1 binary64) (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 (sqrt.f64 y.im) (/.f64 (sqrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (/.f64 #s(literal 1 binary64) (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 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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))))
(*.f64 (*.f64 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)))
(*.f64 (*.f64 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))))
(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 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) y.im)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 y.im #s(literal 5 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64)) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 #s(literal -1 binary64) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (neg.f64 y.re))
(/.f64 #s(literal 1 binary64) y.re)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 y.re #s(literal 5 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 y.re #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
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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 x.im (hypot.f64 y.re y.im))
(/.f64 x.im (hypot.f64 y.im y.re))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(/.f64 x.im (hypot.f64 y.re y.im))
(/.f64 x.im (hypot.f64 y.im y.re))
(exp.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(/.f64 x.im (hypot.f64 y.re y.im))
(/.f64 x.im (hypot.f64 y.im y.re))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(/.f64 x.im (hypot.f64 y.re y.im))
(/.f64 x.im (hypot.f64 y.im y.re))
(-.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 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 y.im (sqrt.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -1/2 binary64))) (sqrt.f64 (hypot.f64 y.im y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) 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 (/.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))
(*.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) (pow.f64 (cbrt.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))
(*.f64 (pow.f64 (cbrt.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 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.im y.re)))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (cbrt.f64 y.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (cbrt.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 (sqrt.f64 y.im) (/.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 (sqrt.f64 y.im) (*.f64 (sqrt.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 (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 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.im) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 #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 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)))
(/.f64 y.im (hypot.f64 y.re y.im))
(/.f64 y.im (hypot.f64 y.im y.re))
(*.f64 (*.f64 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 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 y.im (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) (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 (/.f64 #s(literal 1 binary64) (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))

eval585.0ms (7%)

Compiler

Compiled 21669 to 10688 computations (50.7% saved)

prune389.0ms (4.7%)

Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New997151012
Fresh448
Picked235
Done044
Total1003261029
Accuracy
99.9%
Counts
1029 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(/.f64 (/.f64 y.im (/.f64 (hypot.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))
57.9%
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
55.5%
(/.f64 (+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im)))) y.re)
57.9%
(/.f64 (+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im))))) y.re)
57.9%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
47.4%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
50.8%
(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
50.8%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
40.8%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.1%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
9.8%
(/.f64 (neg.f64 x.im) y.im)
46.7%
(/.f64 x.re y.re)
27.2%
(/.f64 x.im (hypot.f64 y.re y.im))
9.7%
(/.f64 x.im y.re)
40.9%
(/.f64 x.im y.im)
29.8%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
30.4%
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (/.f64 x.im (hypot.f64 y.re y.im)))
20.9%
(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
57.1%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
21.5%
(*.f64 (/.f64 y.im y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
38.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.im y.re) x.re))
40.7%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
11.8%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.im)
43.0%
(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
27.7%
(*.f64 #s(literal -1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)))
11.8%
(neg.f64 (/.f64 x.im y.re))
Compiler

Compiled 571 to 375 computations (34.3% saved)

localize270.0ms (3.2%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 x.im (hypot.f64 y.re y.im))
91.0%
(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
100.0%
(+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im))))
99.6%
(/.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
98.1%
(/.f64 (+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im)))) y.re)
93.7%
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im)))
99.6%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
100.0%
(+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im)))))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im)))
98.1%
(/.f64 (+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im))))) y.re)
92.3%
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im))))
Compiler

Compiled 149 to 63 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
Operation ival-div, time spent: 77.0ms, 63.0% of total-time
Operation ival-mult, time spent: 20.0ms, 16.0% of total-time
Operation composed, time spent: 9.0ms, 7.0% of total-time
Operation ival-add, time spent: 7.0ms, 6.0% of total-time
Operation const, time spent: 3.0ms, 2.0% of total-time
Operation ival-neg, time spent: 3.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 2.0% of total-time

series29.0ms (0.3%)

Counts
10 → 372
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im))))>
#<alt (/.f64 (+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im))))) y.re)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im)))>
#<alt (+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (/.f64 (+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im)))) y.re)>
#<alt (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im))>
#<alt (+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))>
Outputs
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
Calls

93 calls:

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

rewrite115.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
235×associate-*r*
234×log1p-expm1-u
234×expm1-log1p-u
233×add-exp-log
233×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031327
1538249
Stop Event
node limit
Counts
10 → 418
Calls
Call 1
Inputs
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im))))
(/.f64 (+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im))))) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im)))
(+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im)))
(/.f64 (+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im)))) y.re)
(/.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im))))
(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.im y.re)))
(/.f64 x.im (/.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (*.f64 y.re (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 x.im y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re y.im) x.im))
(/.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)))
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) (neg.f64 y.re))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y.re) (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) (neg.f64 y.re)))
(/.f64 (/.f64 x.im y.re) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 x.im #s(literal -1 binary64)) (/.f64 y.re y.im))
(/.f64 (neg.f64 (/.f64 x.im y.re)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (/.f64 (*.f64 x.im y.im) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(/.f64 (/.f64 x.im (sqrt.f64 (/.f64 y.re y.im))) (sqrt.f64 (/.f64 y.re y.im)))
(/.f64 (/.f64 x.im (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 y.re y.im)))
(/.f64 (*.f64 (*.f64 x.im y.im) #s(literal 1 binary64)) y.re)
(/.f64 (*.f64 x.im (/.f64 #s(literal 1 binary64) y.re)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (neg.f64 y.re))
(/.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(/.f64 (/.f64 (/.f64 x.im y.re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 (/.f64 (/.f64 x.im y.re) (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im)))
(/.f64 (/.f64 (/.f64 x.im y.re) (pow.f64 y.im #s(literal -1/2 binary64))) (pow.f64 y.im #s(literal -1/2 binary64)))
(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))
(neg.f64 (*.f64 x.im (/.f64 y.im y.re)))
(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 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.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 (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) y.re))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (sqrt.f64 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 (sqrt.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)) y.re))
(*.f64 (sqrt.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)) (/.f64 #s(literal 1 binary64) 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 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) 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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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)))
(*.f64 (*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)))
(*.f64 (*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (pow.f64 y.re #s(literal -1/2 binary64))) (pow.f64 y.re #s(literal -1/2 binary64)))
(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 (/.f64 #s(literal 1 binary64) 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 #s(literal 0 binary64) (/.f64 y.im y.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im y.re))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y.re) (/.f64 y.im y.re))
(*.f64 #s(literal 1 binary64) (/.f64 y.im y.re))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 y.im (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) y.im)
(*.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y.im y.re))
(*.f64 (cbrt.f64 (/.f64 y.im y.re)) (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)) y.im))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (cbrt.f64 y.im) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (sqrt.f64 (/.f64 y.im y.re)) (sqrt.f64 (/.f64 y.im y.re)))
(*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (*.f64 (pow.f64 y.re #s(literal -1/2 binary64)) y.im))
(*.f64 (sqrt.f64 y.im) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64))) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 y.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y.re)) y.im)
(*.f64 (*.f64 y.im (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)))
(*.f64 (*.f64 y.im (pow.f64 y.re #s(literal -1/2 binary64))) (pow.f64 y.re #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal -1 binary64)) y.im)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (cbrt.f64 y.im))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (/.f64 y.re y.im) #s(literal -1 binary64))
(pow.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64))
(neg.f64 (/.f64 y.im y.re))
(sqrt.f64 (pow.f64 (/.f64 y.re y.im) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 y.im y.re)))
(exp.f64 (log.f64 (/.f64 y.im y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re y.im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im y.re)) #s(literal 1 binary64)))
(-.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
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(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) y.im))
(*.f64 (sqrt.f64 (*.f64 x.im y.im)) (sqrt.f64 (*.f64 x.im y.im)))
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) x.im))
(*.f64 (sqrt.f64 x.im) (/.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64)))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal -1/2 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64)))) (cbrt.f64 (*.f64 x.im y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 y.im #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 x.im) (pow.f64 y.im #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x.im) (cbrt.f64 (pow.f64 y.im #s(literal -2 binary64)))) (/.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.im))))
(*.f64 (*.f64 (sqrt.f64 y.im) (sqrt.f64 x.im)) (*.f64 (sqrt.f64 y.im) (sqrt.f64 x.im)))
(*.f64 (*.f64 y.im (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(*.f64 (*.f64 y.im (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 (*.f64 x.im (cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))) (cbrt.f64 y.im))
(*.f64 (*.f64 x.im (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (*.f64 x.im y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im y.im)) #s(literal -1 binary64))
(neg.f64 (*.f64 x.im y.im))
(sqrt.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.im y.im)))
(exp.f64 (log.f64 (*.f64 x.im y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im y.im)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y.im) (log.f64 x.im)))
(-.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(-.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)) (fma.f64 x.im (/.f64 y.im y.re) x.re)) (/.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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) (-.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))))
(*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (+.f64 (sqrt.f64 x.re) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re)))) (-.f64 (sqrt.f64 x.re) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (/.f64 y.im y.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 (fma.f64 x.im (/.f64 y.im y.re) x.re) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
(/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(/.f64 (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 (-.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.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))))
(/.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 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.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 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(log.f64 (/.f64 (exp.f64 x.re) (pow.f64 (exp.f64 (/.f64 y.im y.re)) x.im)))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)) x.re)
(fma.f64 #s(literal 1 binary64) x.re (*.f64 x.im (/.f64 y.im y.re)))
(fma.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im y.im) x.re)
(fma.f64 (*.f64 x.im y.im) (/.f64 #s(literal 1 binary64) y.re) x.re)
(fma.f64 (/.f64 y.im y.re) x.im 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))) x.re)
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 x.im (/.f64 y.im y.re)))
(fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 x.im (/.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))))) #s(literal 1 binary64))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 x.im (*.f64 (hypot.f64 y.re y.im) (/.f64 y.re y.im)))
(/.f64 x.im (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.re 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 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re (hypot.f64 y.re y.im)) (*.f64 x.im y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))))
(/.f64 y.im (*.f64 y.re (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 y.im (*.f64 (neg.f64 y.re) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 y.im (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) y.re))
(/.f64 y.im (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (neg.f64 y.re)))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.im) (*.f64 (hypot.f64 y.re y.im) y.re))
(/.f64 (*.f64 x.im y.im) (*.f64 y.re (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 y.re) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 y.re) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 x.im y.im) (*.f64 (hypot.f64 y.re y.im) (neg.f64 y.re)))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) y.re))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 y.re)))
(/.f64 (*.f64 x.im y.im) (neg.f64 (*.f64 y.re (hypot.f64 y.re y.im))))
(/.f64 (/.f64 y.im y.re) (/.f64 (hypot.f64 y.re y.im) x.im))
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.re y.im))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re 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 y.re y.im)))
(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) y.re)
(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (neg.f64 y.re))
(/.f64 (*.f64 x.im #s(literal -1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 y.re y.im)))
(/.f64 (*.f64 x.im #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 1 binary64)) (/.f64 y.re y.im))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.im) y.re)
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.im) (neg.f64 y.re))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (/.f64 y.re y.im))
(/.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64)) (hypot.f64 y.re y.im))
(/.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)) y.re)
(/.f64 (/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(/.f64 (/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im y.re) #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 y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 1 binary64)))

simplify320.0ms (3.8%)

Algorithm
egg-herbie
Rules
467×fmm-def
455×associate-*r*
441×times-frac
383×associate-*l*
343×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081428606
1201727270
2725127250
Stop Event
node limit
Counts
790 → 467
Calls
Call 1
Inputs
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))))
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(/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(/.f64 (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 (-.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.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))))
(/.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 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.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 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(log.f64 (/.f64 (exp.f64 x.re) (pow.f64 (exp.f64 (/.f64 y.im y.re)) x.im)))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)) x.re)
(fma.f64 #s(literal 1 binary64) x.re (*.f64 x.im (/.f64 y.im y.re)))
(fma.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im y.im) x.re)
(fma.f64 (*.f64 x.im y.im) (/.f64 #s(literal 1 binary64) y.re) x.re)
(fma.f64 (/.f64 y.im y.re) x.im 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))) x.re)
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 x.im (/.f64 y.im y.re)))
(fma.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 x.im (/.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))))) #s(literal 1 binary64))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 x.im (*.f64 (hypot.f64 y.re y.im) (/.f64 y.re y.im)))
(/.f64 x.im (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.re 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 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re (hypot.f64 y.re y.im)) (*.f64 x.im y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))))
(/.f64 y.im (*.f64 y.re (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 y.im (*.f64 (neg.f64 y.re) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 y.im (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) y.re))
(/.f64 y.im (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (neg.f64 y.re)))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.im) (*.f64 (hypot.f64 y.re y.im) y.re))
(/.f64 (*.f64 x.im y.im) (*.f64 y.re (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 y.re) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 y.re) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 x.im y.im) (*.f64 (hypot.f64 y.re y.im) (neg.f64 y.re)))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) y.re))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 y.re)))
(/.f64 (*.f64 x.im y.im) (neg.f64 (*.f64 y.re (hypot.f64 y.re y.im))))
(/.f64 (/.f64 y.im y.re) (/.f64 (hypot.f64 y.re y.im) x.im))
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.re y.im))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re 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 y.re y.im)))
(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) y.re)
(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (neg.f64 y.re))
(/.f64 (*.f64 x.im #s(literal -1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 y.re y.im)))
(/.f64 (*.f64 x.im #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 1 binary64)) (/.f64 y.re y.im))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.im) y.re)
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.im) (neg.f64 y.re))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (/.f64 y.re y.im))
(/.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64)) (hypot.f64 y.re y.im))
(/.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)) y.re)
(/.f64 (/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(/.f64 (/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im y.re) #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 y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 x.re y.re)
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)))
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 (neg.f64 x.re) (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (neg.f64 (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 x.re))
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y.re)) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))
(*.f64 (neg.f64 x.re) (-.f64 (/.f64 (*.f64 x.im (neg.f64 y.im)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (neg.f64 (fma.f64 x.im (/.f64 (/.f64 y.im x.re) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re))) (neg.f64 x.re))
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y.re)) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re (hypot.f64 y.re y.im)) (*.f64 x.im y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 y.im (*.f64 y.re (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 y.im (*.f64 (neg.f64 y.re) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 y.im (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) y.re))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 y.im (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (neg.f64 y.re)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (*.f64 x.im y.im) (*.f64 (hypot.f64 y.re y.im) y.re))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (*.f64 x.im y.im) (*.f64 y.re (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 y.re) (hypot.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 y.re) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (*.f64 x.im y.im) (*.f64 (hypot.f64 y.re y.im) (neg.f64 y.re)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) y.re))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (*.f64 x.im y.im) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 y.re)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (*.f64 x.im y.im) (neg.f64 (*.f64 y.re (hypot.f64 y.re y.im))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (/.f64 y.im y.re) (/.f64 (hypot.f64 y.re y.im) x.im))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.re y.im))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (/.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) y.re)
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (neg.f64 y.re))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (*.f64 x.im #s(literal -1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (*.f64 x.im #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 1 binary64)) (/.f64 y.re y.im))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.im) y.re)
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) y.im) (neg.f64 y.re))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (/.f64 y.re y.im))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(/.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64)) (hypot.f64 y.re y.im))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)) y.re)
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(/.f64 (/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 1 binary64))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 3 binary64))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(pow.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 2 binary64))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(neg.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 (neg.f64 y.im) (*.f64 y.re (hypot.f64 y.im y.re))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x.im y.re) (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re))))
(log.f64 (pow.f64 (exp.f64 (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 y.im y.re)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im))) #s(literal 3 binary64)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x.im y.re) (/.f64 y.im (hypot.f64 y.re y.im)))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(exp.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.im y.im) (*.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 1 binary64)))
(/.f64 x.im (*.f64 (/.f64 y.re y.im) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))

eval137.0ms (1.6%)

Compiler

Compiled 8110 to 3728 computations (54% saved)

prune158.0ms (1.9%)

Pruning

26 alts after pruning (15 fresh and 11 done)

PrunedKeptTotal
New4943497
Fresh21214
Picked145
Done077
Total49726523
Accuracy
99.9%
Counts
523 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(/.f64 (/.f64 y.im (/.f64 (hypot.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))
21.8%
(/.f64 (/.f64 y.im y.re) (/.f64 (hypot.f64 y.re y.im) x.im))
56.4%
(/.f64 (+.f64 x.re (/.f64 (/.f64 x.im y.re) (/.f64 #s(literal 1 binary64) y.im))) y.re)
57.9%
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
57.9%
(/.f64 (+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im))))) y.re)
57.9%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
47.4%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
50.8%
(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
50.8%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
40.8%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.1%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
9.8%
(/.f64 (neg.f64 x.im) y.im)
46.7%
(/.f64 x.re y.re)
27.2%
(/.f64 x.im (hypot.f64 y.re y.im))
11.8%
(/.f64 x.im (neg.f64 y.re))
9.7%
(/.f64 x.im y.re)
40.9%
(/.f64 x.im y.im)
29.8%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
30.4%
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (/.f64 x.im (hypot.f64 y.re y.im)))
20.9%
(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
57.1%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
38.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.im y.re) x.re))
40.7%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
11.8%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.im)
43.0%
(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
27.7%
(*.f64 #s(literal -1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)))
Compiler

Compiled 724 to 363 computations (49.9% saved)

regimes209.0ms (2.5%)

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

5 calls:

82.0ms
y.re
46.0ms
y.im
31.0ms
x.im
29.0ms
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
84.9%4x.re
87.0%3x.im
90.2%5y.re
91.5%5y.im
89.2%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)

regimes153.0ms (1.8%)

Counts
34 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(neg.f64 (/.f64 x.im y.re))
(/.f64 x.im (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (/.f64 (/.f64 x.im y.re) (/.f64 #s(literal 1 binary64) y.im))) y.re)
(/.f64 (+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im))))) y.re)
(/.f64 (+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im)))) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 x.im (hypot.f64 y.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
(*.f64 (/.f64 y.im y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (/.f64 y.im y.re) (/.f64 (hypot.f64 y.re y.im) x.im))
(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 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 y.im (/.f64 (hypot.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.im y.re) x.re))
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

4 calls:

53.0ms
x.im
39.0ms
y.im
38.0ms
y.re
21.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
AccuracySegmentsBranch
80.9%9x.im
87.7%5y.re
87.8%5y.im
83.2%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 34 to 23 computations (32.4% saved)

regimes71.0ms (0.9%)

Counts
19 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(neg.f64 (/.f64 x.im y.re))
(/.f64 x.im (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (/.f64 (/.f64 x.im y.re) (/.f64 #s(literal 1 binary64) y.im))) y.re)
(/.f64 (+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re (neg.f64 y.im))))) y.re)
(/.f64 (+.f64 x.re (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.im)))) y.re)
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
(/.f64 (*.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:

30.0ms
x.re
24.0ms
y.re
16.0ms
y.im
Results
AccuracySegmentsBranch
70.2%9x.re
81.1%5y.re
80.2%4y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes15.0ms (0.2%)

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

1 calls:

14.0ms
y.im
Results
AccuracySegmentsBranch
78.6%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(neg.f64 (/.f64 x.im y.re))
(/.f64 x.im (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

1 calls:

16.0ms
y.im
Results
AccuracySegmentsBranch
78.5%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes19.0ms (0.2%)

Counts
11 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(neg.f64 (/.f64 x.im y.re))
(/.f64 x.im (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
Outputs
(/.f64 x.re y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 x.re y.re)
Calls

2 calls:

10.0ms
y.re
8.0ms
y.im
Results
AccuracySegmentsBranch
73.5%3y.re
70.8%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(neg.f64 (/.f64 x.im y.re))
(/.f64 x.im (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
Outputs
(/.f64 x.re y.re)
(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
(/.f64 x.re y.re)
Calls

1 calls:

9.0ms
y.re
Results
AccuracySegmentsBranch
73.3%3y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(neg.f64 (/.f64 x.im y.re))
(/.f64 x.im (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 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

1 calls:

9.0ms
y.re
Results
AccuracySegmentsBranch
73.3%3y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.3%)

Counts
8 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(neg.f64 (/.f64 x.im y.re))
(/.f64 x.im (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
Outputs
(/.f64 x.re y.re)
(/.f64 x.im y.im)
(/.f64 x.re y.re)
Calls

3 calls:

8.0ms
y.im
8.0ms
y.re
7.0ms
x.im
Results
AccuracySegmentsBranch
65.3%3y.im
59.1%5x.im
66.9%3y.re
Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0.1%)

Accuracy

Total -21.6b remaining (-57.1%)

Threshold costs -21.6b (-57.1%)

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

4 calls:

2.0ms
x.re
1.0ms
x.im
1.0ms
y.re
1.0ms
y.im
Results
AccuracySegmentsBranch
40.9%1x.im
40.9%1x.re
40.9%1y.im
40.9%1y.re
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.509671518845431e+286
1.58747249227835e+290
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch83.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.0578970937316247e+144
2.2018580354888245e+152
23.0ms
3.0892913555245534e-130
1.3066623037969273e-121
13.0ms
-2.523480963087554e-114
-7.470511707551701e-115
22.0ms
-5.468637392827847e+133
-1.5765128806293522e+131
Results
70.0ms473×256valid
3.0ms22×256infinite
0.0ms256valid
Compiler

Compiled 1080 to 668 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-mult, time spent: 14.0ms, 57.0% of total-time
Operation ival-add, time spent: 6.0ms, 24.0% of total-time
Operation ival-div, time spent: 5.0ms, 20.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch68.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
2.2231200513002568e+73
1.835974634437205e+75
23.0ms
3.0892913555245534e-130
1.3066623037969273e-121
27.0ms
-2.288233775596732e+95
-2.0579225252766274e+85
Results
58.0ms408×256valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 786 to 501 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-mult, time spent: 12.0ms, 61.0% of total-time
Operation ival-add, time spent: 5.0ms, 25.0% of total-time
Operation ival-div, time spent: 3.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch54.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
3.0892913555245534e-130
1.3066623037969273e-121
25.0ms
-2.288233775596732e+95
-2.0579225252766274e+85
Results
45.0ms287×256valid
2.0ms16×256infinite
0.0ms256valid
Compiler

Compiled 558 to 359 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-mult, time spent: 9.0ms, 59.0% of total-time
Operation ival-add, time spent: 3.0ms, 20.0% of total-time
Operation ival-div, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch49.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
3.0892913555245534e-130
1.3066623037969273e-121
26.0ms
-2.288233775596732e+95
-2.0579225252766274e+85
Results
41.0ms291×256valid
2.0ms12×256infinite
0.0ms256valid
Compiler

Compiled 558 to 359 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-mult, time spent: 9.0ms, 59.0% of total-time
Operation ival-add, time spent: 3.0ms, 20.0% of total-time
Operation ival-div, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
6.335222838978797e+49
8.271608536915573e+49
26.0ms
-1.7036334411820022e-62
-6.864661859441986e-76
Results
26.0ms199×256valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 312 to 212 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-mult, time spent: 6.0ms, 60.0% of total-time
Operation ival-div, time spent: 2.0ms, 20.0% of total-time
Operation ival-add, time spent: 2.0ms, 20.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
6.335222838978797e+49
8.271608536915573e+49
25.0ms
-1.7036334411820022e-62
-6.864661859441986e-76
Results
29.0ms204×256valid
0.0ms256infinite
0.0ms256valid
Compiler

Compiled 312 to 212 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-mult, time spent: 6.0ms, 54.0% of total-time
Operation ival-add, time spent: 3.0ms, 27.0% of total-time
Operation ival-div, time spent: 2.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch35.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
6.335222838978797e+49
8.271608536915573e+49
27.0ms
-1.7036334411820022e-62
-6.864661859441986e-76
Results
30.0ms201×256valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 312 to 212 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-mult, time spent: 9.0ms, 70.0% of total-time
Operation ival-div, time spent: 2.0ms, 16.0% of total-time
Operation ival-add, time spent: 2.0ms, 16.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch72.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
3.733723520825105e-90
1.8462302526535436e-70
27.0ms
-3.552580652600829e-77
-3.4068112700034785e-88
Results
64.0ms328×256valid
1.0ms256infinite
0.0ms256valid
Compiler

Compiled 362 to 269 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-mult, time spent: 12.0ms, 65.0% of total-time
Operation ival-add, time spent: 4.0ms, 22.0% of total-time
Operation ival-div, time spent: 2.0ms, 11.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify15.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01021235
11381235
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 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.im #s(literal -339999999999999985849491181812379852215315780953833004652264361285682444540781723119552501536205162729670214712005814700640579878912 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -3188570148238937/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 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 7740541678258495/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re) (if (<=.f64 y.im #s(literal 2599999999999999888446268249941945205611624103411842222653691759554081368654279700263430095510215124737899138239260670710112189153990972780052480 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -28999999999999999734115527010514939154655660420372451473968815610885439047030875881472 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 6047298186139449/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 binary64)) (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re) (if (<=.f64 y.im #s(literal 280000000000000001526536837975851987284443669946836793113832162051902930944 binary64)) (/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -25000000000000000365767380766871825774251074696616376481965269679244909106278705397760 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 6047298186139449/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 binary64)) (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -21000000000000000997419234523228712393846488972860301489961723747604379165526534914048 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 6047298186139449/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 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 -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 65999999999999996727973121464921216525882754072576 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.re #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 65999999999999996727973121464921216525882754072576 binary64)) (/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.re #s(literal -7873862068137501/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 75999999999999997490950105574109916855379251167232 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 -4562960586989249/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 839232961441515/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (/.f64 x.im y.im) (/.f64 x.re y.re)))
(/.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 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.im #s(literal -339999999999999985849491181812379852215315780953833004652264361285682444540781723119552501536205162729670214712005814700640579878912 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -3188570148238937/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 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 7740541678258495/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re) (if (<=.f64 y.im #s(literal 2599999999999999888446268249941945205611624103411842222653691759554081368654279700263430095510215124737899138239260670710112189153990972780052480 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -28999999999999999734115527010514939154655660420372451473968815610885439047030875881472 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 6047298186139449/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 binary64)) (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re) (if (<=.f64 y.im #s(literal 280000000000000001526536837975851987284443669946836793113832162051902930944 binary64)) (/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -25000000000000000365767380766871825774251074696616376481965269679244909106278705397760 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 6047298186139449/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 binary64)) (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (or (<=.f64 y.im #s(literal -25000000000000000365767380766871825774251074696616376481965269679244909106278705397760 binary64)) (not (<=.f64 y.im #s(literal 6047298186139449/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 binary64)))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re))
(if (<=.f64 y.im #s(literal -21000000000000000997419234523228712393846488972860301489961723747604379165526534914048 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 6047298186139449/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 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 (or (<=.f64 y.im #s(literal -21000000000000000997419234523228712393846488972860301489961723747604379165526534914048 binary64)) (not (<=.f64 y.im #s(literal 6047298186139449/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984 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 -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 65999999999999996727973121464921216525882754072576 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (not (<=.f64 y.re #s(literal 65999999999999996727973121464921216525882754072576 binary64)))) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im))
(if (<=.f64 y.re #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 65999999999999996727973121464921216525882754072576 binary64)) (/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (not (<=.f64 y.re #s(literal 65999999999999996727973121464921216525882754072576 binary64)))) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im))
(if (<=.f64 y.re #s(literal -7873862068137501/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 75999999999999997490950105574109916855379251167232 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 -7873862068137501/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (not (<=.f64 y.re #s(literal 75999999999999997490950105574109916855379251167232 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 -4562960586989249/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 839232961441515/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (/.f64 x.im y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -4562960586989249/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (not (<=.f64 y.re #s(literal 839232961441515/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)))) (/.f64 x.re y.re) (/.f64 x.im y.im))
(/.f64 x.im y.im)
Compiler

Compiled 341 to 182 computations (46.6% saved)

soundness578.0ms (6.9%)

Rules
819×log1p-expm1-u
819×expm1-log1p-u
503×fma-define
487×cancel-sign-sub-inv
467×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031344
1523322
27836322
053412258
1139311542
2443611482
018107
125497
2354397
Stop Event
node limit
node limit
node limit
Compiler

Compiled 259 to 94 computations (63.7% saved)

end0.0ms (0%)

preprocess104.0ms (1.2%)

Compiler

Compiled 648 to 228 computations (64.8% saved)

Profiling

Loading profile data...