_divideComplex, imaginary part

Time bar (total: 9.6s)

analyze34.0ms (0.4%)

Algorithm
1×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
ival-mult: 11.0ms (64.8% of total)
ival-sub: 2.0ms (11.8% of total)
ival-div: 2.0ms (11.8% of total)
ival-add: 2.0ms (11.8% of total)
const: 0.0ms (0% of total)

sample1.1s (11.4%)

Results
781.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 427.0ms
ival-mult: 265.0ms (62% of total)
ival-div: 57.0ms (13.3% of total)
ival-sub: 49.0ms (11.5% of total)
ival-add: 45.0ms (10.5% of total)
const: 8.0ms (1.9% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess265.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1255×fma-define
795×fma-neg
518×div-sub
436×unsub-neg
415×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0701024
1237992
2469992
31150992
43391992
55801992
66625992
76734992
86754992
96770992
107716992
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 (neg.f64 x.re) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im))))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 (neg.f64 x.re) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x.im) y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im))))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im)))))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im x.re) (*.f64 y.re y.im)) (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 x.re x.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (+.f64 (*.f64 x.im x.im) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.im y.re) (*.f64 x.re x.im)) (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (+.f64 (*.f64 y.im y.im) (*.f64 y.re y.re)))
Outputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 (neg.f64 x.re) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.im) y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im))))
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 (neg.f64 x.re) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x.im) y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (+.f64 (*.f64 (neg.f64 y.re) (neg.f64 y.re)) (*.f64 y.im y.im))))
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re (neg.f64 y.im))) (+.f64 (*.f64 y.re y.re) (*.f64 (neg.f64 y.im) (neg.f64 y.im)))))
(/.f64 (-.f64 (*.f64 x.im (neg.f64 y.re)) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im (neg.f64 y.im) (*.f64 y.re x.re)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im x.re) (*.f64 y.re y.im)) (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im x.re) (*.f64 y.re y.im)) (fma.f64 x.re x.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 x.re x.re)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 x.re x.re)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.re y.re (*.f64 x.re x.re)))
(/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (+.f64 (*.f64 x.im x.im) (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 x.im x.im (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 x.im x.im (*.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 y.im y.re) (*.f64 x.re x.im)) (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))
(/.f64 (-.f64 (*.f64 y.re y.im) (*.f64 x.im x.re)) (fma.f64 y.re y.re (*.f64 x.im x.im)))
(/.f64 (-.f64 (*.f64 y.re y.im) (*.f64 x.im x.re)) (fma.f64 x.im x.im (*.f64 y.re y.re)))
(/.f64 (fma.f64 x.im (neg.f64 x.re) (*.f64 y.re y.im)) (fma.f64 x.im x.im (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (+.f64 (*.f64 y.im y.im) (*.f64 y.re y.re)))
(/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re (neg.f64 x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))

explain98.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
920-3(-1.502277274110178e-64 2717741.625437942 -1.6798051683606665e-160 -1.1329635255717997e-247)(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
20-0-(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
00-0-x.im
00-0-y.im
00-0-y.re
00-0-x.re
00-0-(*.f64 y.im y.im)
00-0-(*.f64 x.im y.re)
00-0-(*.f64 x.re y.im)
00-0-(*.f64 y.re y.re)
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
Results
60.0ms512×256valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 17.0ms (59.4% of total)
ival-div: 6.0ms (21% of total)
ival-sub: 3.0ms (10.5% of total)
ival-add: 2.0ms (7% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 32 to 16 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.0%
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
▶66.0%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 37 to 21 computations (43.2% saved)

localize96.0ms (1%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 y.im y.im (*.f64 y.re y.re))
✓99.2%
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
✓66.3%
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓99.3%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
✓66.3%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
76.0ms256×256valid
Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 43.0ms (72.7% of total)
<compiled-spec>: 6.0ms (10.1% of total)
ival-add: 4.0ms (6.8% of total)
ival-div: 3.0ms (5.1% of total)
ival-sub: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
const: 0.0ms (0% of total)

series33.0ms (0.3%)

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

60 calls:

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

rewrite366.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
920×log1p-expm1-u
920×expm1-log1p-u
297×fma-neg
139×add-exp-log
139×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

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

simplify453.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
494×distribute-lft-neg-in
470×fma-neg
470×distribute-rgt-neg-in
270×fma-define
243×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059931088
1154229023
2536328519
Stop Event
1×node limit
Counts
564 → 378
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
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(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
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(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (*.f64 x.im y.re)) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(+.f64 (*.f64 x.im y.re) (+.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 x.re) y.im (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (*.f64 x.re y.im) #s(literal 1 binary64) (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.re y.im))) (sqrt.f64 (*.f64 x.re y.im)) (*.f64 x.re y.im)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (+.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(+.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(-.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.re y.im) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))) (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.re y.im))) (-.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im)))) (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (*.f64 x.re y.im))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))) (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)) (*.f64 (fma.f64 y.im x.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im)))) (-.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (fma.f64 y.im x.re (*.f64 x.re y.im))))
(pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(exp.f64 (log.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.im y.im (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64))))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))
(*.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (+.f64 y.re y.im) (-.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x.re) y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
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(/.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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(*.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.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 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))
(sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))

eval109.0ms (1.1%)

Compiler

Compiled 8512 to 3184 computations (62.6% saved)

prune77.0ms (0.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New36216378
Fresh000
Picked202
Done000
Total36416380
Accuracy
99.8%
Counts
380 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
▶66.0%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
39.0%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
57.3%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
49.9%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
▶55.9%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
40.5%
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
45.1%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
▶55.6%
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.4%
(/.f64 (neg.f64 x.re) y.im)
▶45.2%
(/.f64 x.im y.re)
64.4%
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
▶50.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
44.0%
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
41.6%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
47.8%
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
Compiler

Compiled 486 to 308 computations (36.6% saved)

localize277.0ms (2.9%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓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)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
✓80.0%
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓92.6%
(*.f64 x.im (/.f64 y.re x.re))
✓92.5%
(*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))
✓66.3%
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓98.8%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
✓93.1%
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
100.0%
(fma.f64 y.im y.im (*.f64 y.re y.re))
99.3%
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
✓66.3%
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
Results
236.0ms256×256valid
Compiler

Compiled 190 to 33 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 211.0ms
ival-mult: 165.0ms (78.2% of total)
<compiled-spec>: 17.0ms (8.1% of total)
ival-div: 15.0ms (7.1% of total)
ival-add: 7.0ms (3.3% of total)
ival-sub: 3.0ms (1.4% of total)
ival-sqrt: 2.0ms (0.9% of total)
const: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)

series85.0ms (0.9%)

Counts
9 → 384
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))>
#<alt (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)>
#<alt (/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))>
#<alt (*.f64 x.im (/.f64 y.re x.re))>
#<alt (/.f64 (fma.f64 x.im y.re (*.f64 x.re 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.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
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#<alt (+.f64 (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re 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.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 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.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<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))>
Calls

96 calls:

TimeVariablePointExpression
23.0ms
y.im
@inf
(/ (* (neg x.re) y.im) y.re)
4.0ms
x.re
@0
(/ (* x.re (- (* x.im (/ y.re x.re)) y.im)) (+ (* y.re y.re) (* y.im y.im)))
2.0ms
y.re
@inf
(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms
x.im
@-inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
1.0ms
x.re
@-inf
(/ (* x.re (- (* x.im (/ y.re x.re)) y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite195.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
287×log1p-expm1-u
287×expm1-log1p-u
283×add-cube-cbrt
280×add-exp-log
280×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037385
1659350
Stop Event
1×node limit
Counts
9 → 271
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))
(*.f64 x.im (/.f64 y.re x.re))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
Outputs
(+.f64 (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (neg.f64 (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(-.f64 (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re 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.im y.re (*.f64 x.re y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64))) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.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))) (cbrt.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) (cbrt.f64 (hypot.f64 y.re y.im))))
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(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))

simplify347.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
616×associate-*r*
615×fma-define
534×associate-*l*
384×times-frac
308×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105636082
1298034122
Stop Event
1×node limit
Counts
655 → 699
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
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(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))
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(/.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal -1 binary64)) (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im y.re (*.f64 x.re y.im)))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)))) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (+.f64 (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.im x.im))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.im x.im))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.im x.im))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (neg.f64 (-.f64 (*.f64 (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.im x.im)) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (neg.f64 (-.f64 (*.f64 (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.im x.im)) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (neg.f64 (-.f64 (*.f64 (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 y.im x.im)) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.re (neg.f64 y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (neg.f64 y.im)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))
(fma.f64 y.re (fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (neg.f64 y.im)))
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(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re) #s(literal 3 binary64)))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.re y.re) x.im) y.re)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.re y.re) x.im) y.re)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y.im (/.f64 x.re y.re) x.im) y.re)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.re y.re) x.im) y.re)
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)))
(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.re y.re) x.im) y.re)
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(/.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.re y.re) x.im) y.re)
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(*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
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(*.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 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
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(*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
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(*.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 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
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(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) #s(literal 1 binary64)) (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))) (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (+.f64 (*.f64 (*.f64 x.im y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))) (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im))))
(pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal -1 binary64))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 y.re x.im (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (fma.f64 y.re x.im (*.f64 x.re y.im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(*.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 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) (cbrt.f64 (hypot.f64 y.im y.re)))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(*.f64 (pow.f64 (cbrt.f64 (pow.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 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))

eval300.0ms (3.1%)

Compiler

Compiled 19297 to 7468 computations (61.3% saved)

prune230.0ms (2.4%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New87415889
Fresh3811
Picked235
Done000
Total87926905
Accuracy
100.0%
Counts
905 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(/.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
49.9%
(/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) y.im)
51.2%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
57.3%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓55.9%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
40.5%
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
45.1%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
▶45.1%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
55.6%
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
✓55.6%
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.4%
(/.f64 (neg.f64 x.re) y.im)
▶11.7%
(/.f64 x.re y.im)
✓45.2%
(/.f64 x.im y.re)
49.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
66.5%
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
▶78.0%
(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
34.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
▶33.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
32.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 y.re x.im) y.im)))
27.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))))
53.9%
(*.f64 (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) x.re) (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))
19.5%
(*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
44.0%
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
41.6%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
47.8%
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
▶47.1%
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im))))
Compiler

Compiled 746 to 470 computations (37% saved)

localize329.0ms (3.4%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓92.6%
(fma.f64 x.im (/.f64 y.re y.im) x.re)
✓90.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
✓100.0%
(-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im)))
✓93.1%
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im))))
✓89.2%
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
✓84.3%
(*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im))
100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓74.2%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓100.0%
(/.f64 x.re (hypot.f64 y.re y.im))
✓95.2%
(fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))
✓92.5%
(/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.re y.im))
✓87.6%
(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
Results
246.0ms256×256valid
Compiler

Compiled 183 to 55 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-pow: 82.0ms (38.5% of total)
ival-div: 81.0ms (38.1% of total)
ival-mult: 22.0ms (10.3% of total)
<compiled-spec>: 15.0ms (7% of total)
ival-add: 5.0ms (2.3% of total)
ival-sub: 2.0ms (0.9% of total)
const: 2.0ms (0.9% of total)
ival-sqrt: 2.0ms (0.9% of total)
ival-neg: 1.0ms (0.5% of total)

series223.0ms (2.3%)

Counts
11 → 456
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))>
#<alt (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.re y.im))>
#<alt (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))>
#<alt (/.f64 x.re (hypot.f64 y.re y.im))>
#<alt (/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im))>
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im))))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))>
#<alt (fma.f64 x.im (/.f64 y.re y.im) x.re)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))>
#<alt (*.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)))))))>
#<alt (+.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 (/.f64 (*.f64 x.im y.re) 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 #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 (/.f64 (*.f64 x.im y.re) 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 #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 (/.f64 (*.f64 x.im y.re) 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 (*.f64 x.im y.re) 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.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 y.re 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.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 y.re 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.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 y.re 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 (*.f64 x.im y.re) 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.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re 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 y.im 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 (/.f64 y.re 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 y.im 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 (/.f64 y.re 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 y.im 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)))))))))>
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#<alt (+.f64 (*.f64 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 (*.f64 x.im y.re) 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.re) 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 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 y.re 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 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 y.re 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))))))))>
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#<alt (*.f64 (/.f64 (*.f64 x.im y.re) 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 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re 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 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re 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 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re 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.re) 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 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 (*.f64 x.im y.re) 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 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 (*.f64 x.im y.re) 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 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 (*.f64 x.im y.re) 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.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 (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.re) (*.f64 x.re 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.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 (/.f64 (*.f64 x.im y.re) (*.f64 x.re 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.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 (/.f64 (*.f64 x.im y.re) (*.f64 x.re 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.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) (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.re) (*.f64 x.re 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.re (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re 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.re (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re 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 x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<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.re y.im)))))>
#<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.re y.im)))))>
#<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.re y.im)))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.im)>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt x.re>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))>
#<alt x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 1 binary64))))>
Calls

120 calls:

TimeVariablePointExpression
99.0ms
y.im
@0
(/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
55.0ms
x.re
@0
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* x.im (/ y.re y.im)) x.re))
6.0ms
x.re
@-inf
(/ (+ (* x.im (/ y.re x.re)) (neg y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms
x.im
@-inf
(+ (* x.im (/ y.re y.im)) x.re)
1.0ms
x.re
@0
(/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite165.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
283×log1p-expm1-u
283×expm1-log1p-u
276×add-exp-log
276×add-log-exp
276×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038454
1630432
Stop Event
1×node limit
Counts
11 → 362
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.re y.im))
(fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))
(/.f64 x.re (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im))))
(-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 x.re (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im)) (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.re))
(/.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im)) (/.f64 (hypot.f64 y.re y.im) x.re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.re) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im)) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (/.f64 x.re (hypot.f64 y.re y.im)))))
(/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (neg.f64 x.re) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im)) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.re) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im)) x.re) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (/.f64 x.re (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) #s(literal 1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) x.re)))
(/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (neg.f64 x.re)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im)) x.re) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im)) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.re)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im)) (neg.f64 x.re)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (*.f64 x.re #s(literal 1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im))))
(/.f64 (*.f64 x.re (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x.re) (fma.f64 x.im (/.f64 y.re x.re) y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x.re) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im))))
(/.f64 (*.f64 (neg.f64 x.re) (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im))) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
(pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 1 binary64)))

simplify1.2s (12.2%)

Algorithm
1×egg-herbie
Rules
882×fma-define
383×*-commutative
332×distribute-lft-in
329×distribute-rgt-in
213×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0144743666
1418641819
Stop Event
1×node limit
Counts
818 → 964
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))
(*.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 (*.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 (/.f64 (*.f64 x.im y.re) 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 #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 (/.f64 (*.f64 x.im y.re) 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 #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 (/.f64 (*.f64 x.im y.re) 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 (*.f64 x.im y.re) 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.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 y.re 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.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 y.re 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.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 y.re 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 (*.f64 x.im y.re) 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.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re 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 y.im 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 (/.f64 y.re 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 y.im 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 (/.f64 y.re 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 y.im 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)))))))))
#s(literal -1 binary64)
(-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) #s(literal 1 binary64))
(-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im (*.f64 x.re y.im)))) #s(literal 1 binary64))
(-.f64 (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 x.im (*.f64 x.re y.im)))) #s(literal 1 binary64))
(/.f64 x.im x.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)) (/.f64 x.im x.re))
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(*.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 (/.f64 (*.f64 x.im y.re) (*.f64 x.re 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.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 (/.f64 (*.f64 x.im y.re) (*.f64 x.re 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.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 (/.f64 (*.f64 x.im y.re) (*.f64 x.re 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.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
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x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))
(*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))
(*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.re) y.im)
(*.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.re y.im)))))
(*.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.re y.im)))))
(*.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.re y.im)))))
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 y.re (+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))
(*.f64 y.re (+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))
(*.f64 y.re (+.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))
(/.f64 (*.f64 x.im y.re) y.im)
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.im)
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.im)
(/.f64 (+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) y.im)
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(/.f64 (*.f64 x.im y.re) y.im)
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
(+.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))
x.re
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))
x.re
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(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) #s(literal 1 binary64))))
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(/.f64 x.re (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im)) (hypot.f64 y.re y.im)))
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(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
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(pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (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 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
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(*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im))))
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(*.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (cbrt.f64 (hypot.f64 y.re y.im))))
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im)) (cbrt.f64 (hypot.f64 y.re y.im))))
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(pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(/.f64 (-.f64 (pow.f64 y.re #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 y.re #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (+.f64 (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y.re)))))
(/.f64 (+.f64 x.im (*.f64 y.re (*.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) x.re))) (*.f64 x.im y.re))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 y.re (*.f64 y.im (/.f64 x.re x.im)))) (*.f64 y.re (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) (*.f64 y.re (*.f64 y.im x.re))) (*.f64 y.re (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)) (*.f64 (neg.f64 y.re) (*.f64 y.im x.re))) (*.f64 (neg.f64 y.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)))
(/.f64 (+.f64 (neg.f64 x.im) (*.f64 (neg.f64 y.re) (*.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) x.re))) (*.f64 y.re (neg.f64 x.im)))
(/.f64 (+.f64 (neg.f64 (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (neg.f64 y.re) (*.f64 y.im (/.f64 x.re x.im)))) (*.f64 (neg.f64 y.re) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (-.f64 x.im (*.f64 y.re (*.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) x.re))) (*.f64 x.im y.re))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 y.re (*.f64 y.im (/.f64 x.re x.im)))) (*.f64 y.re (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im) (*.f64 y.re (*.f64 y.im x.re))) (*.f64 y.re (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)) (*.f64 (neg.f64 y.re) (*.f64 y.im x.re))) (*.f64 (neg.f64 y.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im)))
(/.f64 (-.f64 (neg.f64 x.im) (*.f64 (neg.f64 y.re) (*.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) x.re))) (*.f64 y.re (neg.f64 x.im)))
(/.f64 (-.f64 (neg.f64 (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (neg.f64 y.re) (*.f64 y.im (/.f64 x.re x.im)))) (*.f64 (neg.f64 y.re) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 y.re #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (+.f64 (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) y.re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 y.re #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 y.im x.re) (*.f64 y.re (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.im))))))
(pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (pow.f64 y.re #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y.re)) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (pow.f64 y.re #s(literal -1/2 binary64)) (pow.f64 y.re #s(literal -1/2 binary64)) (*.f64 (/.f64 x.re x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re))
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (/.f64 x.re (hypot.f64 y.re y.im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (neg.f64 (hypot.f64 y.re y.im)))
(pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64)) (*.f64 x.re #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im))) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
(pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) x.im))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) x.im))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) x.im))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.re x.im) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) x.im))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
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(/.f64 x.im x.re)
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(fma.f64 #s(literal -1 binary64) (/.f64 y.im y.re) (/.f64 x.im x.re))
(-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))
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#s(literal -1 binary64)
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(+.f64 (/.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) #s(literal -1 binary64))
(fma.f64 x.im (/.f64 y.re (*.f64 x.re y.im)) #s(literal -1 binary64))
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#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (/.f64 (*.f64 x.im y.re) x.re)) y.im)))
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(+.f64 (pow.f64 y.re #s(literal -1 binary64)) (*.f64 (*.f64 x.re (/.f64 y.im x.im)) (pow.f64 y.re #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(/.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))) (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (hypot.f64 y.im y.re))
(+.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64)) (*.f64 x.re #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.re y.im) x.re))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (-.f64 (fma.f64 x.im (*.f64 (/.f64 y.re y.im) (*.f64 x.im (/.f64 y.re y.im))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im))) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
(/.f64 (fma.f64 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
(/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re))
(pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 1 binary64))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 3 binary64))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 2 binary64))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re))))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) #s(literal 3 binary64)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.re y.im) x.re)

eval321.0ms (3.3%)

Compiler

Compiled 24263 to 11352 computations (53.2% saved)

prune381.0ms (4%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1098141112
Fresh71118
Picked325
Done033
Total1108301138
Accuracy
100.0%
Counts
1138 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.3%
(/.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im)))
49.9%
(/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) y.im)
▶51.2%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
57.3%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓55.9%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
40.5%
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
▶45.1%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓45.1%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓55.6%
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.4%
(/.f64 (neg.f64 x.re) y.im)
8.2%
(/.f64 (neg.f64 x.im) y.im)
✓11.7%
(/.f64 x.re y.im)
✓45.2%
(/.f64 x.im y.re)
▶9.5%
(/.f64 x.im y.im)
5.6%
(-.f64 (/.f64 (neg.f64 x.re) y.re) (/.f64 x.im y.im))
8.0%
(+.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
▶66.5%
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
40.5%
(*.f64 (/.f64 (*.f64 x.im (/.f64 y.re x.re)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
55.7%
(*.f64 (/.f64 (neg.f64 y.im) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
61.1%
(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
18.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im)))
27.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))))
33.6%
(*.f64 (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) (/.f64 x.re (hypot.f64 y.re y.im)))
27.0%
(*.f64 (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.re y.im)))
19.5%
(*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
▶44.4%
(*.f64 y.re (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
41.6%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
53.3%
(*.f64 x.im (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im (neg.f64 x.re)) (*.f64 y.re x.im))) y.re))
47.8%
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
49.9%
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re x.im))))
Compiler

Compiled 782 to 492 computations (37.1% saved)

localize128.0ms (1.3%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))
✓88.2%
(*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
✓81.4%
(*.f64 y.re (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
100.0%
(fma.f64 y.im y.im (*.f64 y.re y.re))
✓74.2%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓100.0%
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
✓98.8%
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓94.6%
(*.f64 y.re (/.f64 x.im y.im))
✓100.0%
(pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))
✓99.3%
(-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
✓66.8%
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
Results
90.0ms256×256valid
Compiler

Compiled 130 to 32 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 19.0ms (28.8% of total)
ival-pow: 19.0ms (28.8% of total)
<compiled-spec>: 12.0ms (18.2% of total)
ival-div: 7.0ms (10.6% of total)
ival-sub: 3.0ms (4.5% of total)
ival-add: 3.0ms (4.5% of total)
ival-sqrt: 2.0ms (3% of total)
const: 1.0ms (1.5% of total)

series42.0ms (0.4%)

Counts
10 → 384
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))>
#<alt (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))>
#<alt (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))>
#<alt (*.f64 y.re (/.f64 x.im y.im))>
#<alt (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)>
#<alt (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)>
#<alt (/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))>
#<alt (*.f64 y.re (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))>
#<alt (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))>
#<alt (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
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#<alt (+.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 (*.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 (*.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 (pow.f64 y.im #s(literal 2 binary64)))>
#<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))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<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)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<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))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))>
#<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))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<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)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<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))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))>
#<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 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (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 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.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 y.re #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (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 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.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 y.re #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.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 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
Calls

96 calls:

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

rewrite220.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
960×log1p-expm1-u
206×expm1-log1p-u
202×add-exp-log
202×add-log-exp
202×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028329
1449319
26554319
Stop Event
1×node limit
Counts
10 → 327
Calls
Call 1
Inputs
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
(-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))
(*.f64 y.re (/.f64 x.im y.im))
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 y.re (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))
Outputs
(+.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re))))
(+.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (*.f64 (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(+.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (*.f64 y.im (neg.f64 x.re))))
(+.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)) (*.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.im x.re) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)))) (fma.f64 y.re x.im (*.f64 y.im x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (+.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.im x.re) (fma.f64 y.re x.im (*.f64 y.im x.re)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (fma.f64 y.re x.im (*.f64 y.im x.re)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) #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 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 y.re x.im) (*.f64 y.im (neg.f64 x.re)))
(+.f64 (*.f64 y.re x.im) (*.f64 (*.f64 y.im (neg.f64 x.re)) #s(literal 1 binary64)))
(+.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.im (neg.f64 x.re)) (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re))))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re)))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 (neg.f64 x.re) y.im (*.f64 y.im x.re)))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 (*.f64 y.im (neg.f64 x.re)) #s(literal 1 binary64) (*.f64 y.im x.re)))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y.im x.re))) (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64)) (*.f64 y.im x.re)))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y.im x.re))) (sqrt.f64 (*.f64 y.im x.re)) (*.f64 y.im x.re)))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (*.f64 (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re)) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (+.f64 (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re)) (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re))))
(+.f64 (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re)) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
(+.f64 (*.f64 y.im (neg.f64 x.re)) (*.f64 y.re x.im))
(*.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) #s(literal 2 binary64)))
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(expm1.f64 (log1p.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))))
(log1p.f64 (expm1.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))))
(exp.f64 (log.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))) #s(literal 1 binary64))
(/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) x.im))
(/.f64 (neg.f64 x.im) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (/.f64 x.im #s(literal 1 binary64)) (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))) (pow.f64 (cbrt.f64 (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)) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.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 x.im #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 x.im) (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64))) (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 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.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) (hypot.f64 y.re y.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))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))

simplify286.0ms (3%)

Algorithm
1×egg-herbie
Rules
498×associate-*r*
484×fma-define
474×associate-*l*
252×times-frac
247×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103835643
1278533140
Stop Event
1×node limit
Counts
711 → 661
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (*.f64 x.im y.re)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
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(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re y.im))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(*.f64 x.im y.re)
(*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))
(*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))
(*.f64 y.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))
(*.f64 x.im y.re)
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(sqrt.f64 (*.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)))))
(cbrt.f64 (pow.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))))
(log1p.f64 (expm1.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))))
(exp.f64 (log.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))) #s(literal 1 binary64))
(/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) x.im))
(/.f64 (neg.f64 x.im) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (/.f64 x.im #s(literal 1 binary64)) (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))) (pow.f64 (cbrt.f64 (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)) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.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 x.im #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) x.im)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 x.im) (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64))) (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 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.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) (hypot.f64 y.re y.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))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(/.f64 (neg.f64 x.re) y.im)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))
(fma.f64 y.re (fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (neg.f64 x.re) y.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 y.re (fma.f64 y.re (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (neg.f64 x.re) y.im))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)))) y.re)
(/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im y.re))))) y.re)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im y.re))) x.im) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re)) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 (+.f64 x.im (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im y.re)) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 x.im (-.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))) (*.f64 x.re (/.f64 y.im y.re))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 x.im y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x.re y.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x.re y.im (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)))) y.re) x.im) (neg.f64 y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x.re y.im) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x.re y.im (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re))) y.re) x.im) (neg.f64 y.re))
(/.f64 x.im y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (neg.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (*.f64 y.im (-.f64 (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.f64 y.im (-.f64 (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (neg.f64 (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 (-.f64 (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.re y.im))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.re) y.im))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x.re (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64))) (/.f64 (*.f64 x.im y.re) y.im))) (neg.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 (-.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))) x.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(/.f64 (neg.f64 x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
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(*.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))
(exp.f64 (-.f64 (log.f64 x.im) (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))
(pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))
(pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -4 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.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) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (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))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re 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 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -4 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(pow.f64 (hypot.f64 y.re y.im) #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)))))
(pow.f64 (hypot.f64 y.re y.im) #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)))
(pow.f64 (hypot.f64 y.re y.im) #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))))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))
(pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 y.re y.im))))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))
(pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))
(pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))
(exp.f64 (neg.f64 (log.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 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))

eval154.0ms (1.6%)

Compiler

Compiled 14187 to 6741 computations (52.5% saved)

prune170.0ms (1.8%)

Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New7354739
Fresh11920
Picked325
Done145
Total74029769
Accuracy
100.0%
Counts
769 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.3%
(/.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im)))
49.9%
(/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) y.im)
51.4%
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
57.3%
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓55.9%
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
40.5%
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.3%
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.im)
✓45.1%
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓45.1%
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
49.8%
(/.f64 (*.f64 x.re (+.f64 (*.f64 x.im (/.f64 y.re (*.f64 x.re y.im))) #s(literal -1 binary64))) y.im)
40.4%
(/.f64 (neg.f64 x.re) y.im)
8.2%
(/.f64 (neg.f64 x.im) y.im)
✓11.7%
(/.f64 x.re y.im)
✓45.2%
(/.f64 x.im y.re)
✓9.5%
(/.f64 x.im y.im)
5.6%
(-.f64 (/.f64 (neg.f64 x.re) y.re) (/.f64 x.im y.im))
8.0%
(+.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
40.5%
(*.f64 (/.f64 (*.f64 x.im (/.f64 y.re x.re)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
55.7%
(*.f64 (/.f64 (neg.f64 y.im) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
61.1%
(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
18.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im)))
27.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))))
33.6%
(*.f64 (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) (/.f64 x.re (hypot.f64 y.re y.im)))
27.0%
(*.f64 (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.re y.im)))
19.5%
(*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
41.6%
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
53.3%
(*.f64 x.im (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im (neg.f64 x.re)) (*.f64 y.re x.im))) y.re))
47.8%
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
49.9%
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re x.im))))
Compiler

Compiled 996 to 447 computations (55.1% saved)

regimes333.0ms (3.5%)

Counts
51 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(+.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 (neg.f64 x.re) y.re) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (+.f64 (*.f64 x.im (/.f64 y.re (*.f64 x.re y.im))) #s(literal -1 binary64))) y.im)
(*.f64 x.im (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im (neg.f64 x.re)) (*.f64 y.re x.im))) y.re))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re x.im))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im)))
(*.f64 (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 y.re x.im) y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))))
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 y.re (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 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.re y.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (/.f64 (neg.f64 y.im) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 (/.f64 (*.f64 x.im (/.f64 y.re x.re)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(*.f64 (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) x.re) (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im)))
(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
Outputs
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
Calls

5 calls:

128.0ms
x.re
66.0ms
y.re
53.0ms
y.im
42.0ms
x.im
38.0ms
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
AccuracySegmentsBranch
89.5%3x.re
84.2%4x.im
91.7%5y.re
91.4%4y.im
87.5%5(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes50.0ms (0.5%)

Counts
50 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(+.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 (neg.f64 x.re) y.re) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (*.f64 y.re x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.im)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im)
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (+.f64 (*.f64 x.im (/.f64 y.re (*.f64 x.re y.im))) #s(literal -1 binary64))) y.im)
(*.f64 x.im (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im (neg.f64 x.re)) (*.f64 y.re x.im))) y.re))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 (/.f64 y.im y.re) y.re) (/.f64 x.re x.im))))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 y.re y.im)))
(*.f64 (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (-.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 y.re x.im) y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 x.im (-.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re x.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))))
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 y.re (*.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 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.re y.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (/.f64 (neg.f64 y.im) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(*.f64 (/.f64 (*.f64 x.im (/.f64 y.re x.re)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(/.f64 (*.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(*.f64 (*.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) x.re) (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 x.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.re x.re) y.im)))
(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
Outputs
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
Calls

1 calls:

47.0ms
y.im
Results
AccuracySegmentsBranch
91.2%4y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes73.0ms (0.8%)

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

3 calls:

36.0ms
x.re
20.0ms
y.re
15.0ms
y.im
Results
AccuracySegmentsBranch
80.6%5y.re
71.2%9x.re
88.2%3y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes8.0ms (0.1%)

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

1 calls:

7.0ms
y.im
Results
AccuracySegmentsBranch
88.1%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

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

1 calls:

9.0ms
y.im
Results
AccuracySegmentsBranch
82.8%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(+.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(-.f64 (/.f64 (neg.f64 x.re) y.re) (/.f64 x.im y.im))
Outputs
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
Calls

3 calls:

9.0ms
y.re
7.0ms
y.im
6.0ms
x.im
Results
AccuracySegmentsBranch
66.8%3y.re
57.2%7x.im
70.6%3y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes12.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
Outputs
(/.f64 x.re y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
Calls

3 calls:

6.0ms
y.re
4.0ms
y.im
2.0ms
x.re
Results
AccuracySegmentsBranch
45.2%1x.re
48.9%3y.re
52.2%3y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0%)

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

3 calls:

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

Compiled 15 to 12 computations (20% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

0.0ms
x.im
0.0ms
y.re
0.0ms
y.im
0.0ms
x.re
Results
AccuracySegmentsBranch
9.5%1x.re
9.5%1x.im
9.5%1y.im
9.5%1y.re
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch49.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.1157928955557265e+45
5.425856357723048e+54
14.0ms
-5.294089091956888e-76
-1.3453750528941325e-80
11.0ms
-5.39933505609803e+95
-2.142775422244074e+95
Results
30.0ms368×0valid
Compiler

Compiled 800 to 509 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 11.0ms (63.5% of total)
ival-sub: 2.0ms (11.6% of total)
ival-div: 2.0ms (11.6% of total)
ival-add: 2.0ms (11.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.1157928955557265e+45
5.425856357723048e+54
19.0ms
-5.596709745383014e-172
-1.006585109994408e-177
9.0ms
-5.39933505609803e+95
-2.142775422244074e+95
Results
35.0ms384×0valid
Compiler

Compiled 782 to 491 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (56.3% of total)
ival-sub: 2.0ms (12.5% of total)
ival-div: 2.0ms (12.5% of total)
ival-add: 2.0ms (12.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.1157928955557265e+45
5.425856357723048e+54
21.0ms
-2.6419926749672224e+20
-2366941451010940.5
Results
31.0ms304×0valid
Compiler

Compiled 558 to 359 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 7.0ms (34.7% of total)
ival-mult: 7.0ms (34.7% of total)
ival-add: 4.0ms (19.8% of total)
ival-sub: 2.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.1157928955557265e+45
5.425856357723048e+54
15.0ms
-3.9099835933595826e-19
-7.722957751781668e-24
Results
23.0ms288×0valid
Compiler

Compiled 530 to 341 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (60.9% of total)
ival-sub: 2.0ms (15.2% of total)
ival-div: 2.0ms (15.2% of total)
ival-add: 1.0ms (7.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.3695900788690892e+95
5.510660521004359e+97
20.0ms
-2.6419926749672224e+20
-2366941451010940.5
Results
20.0ms256×0valid
Compiler

Compiled 394 to 273 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (55.7% of total)
ival-div: 2.0ms (18.6% of total)
ival-sub: 1.0ms (9.3% of total)
ival-add: 1.0ms (9.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
2.3695900788690892e+95
5.510660521004359e+97
15.0ms
-3.9099835933595826e-19
-7.722957751781668e-24
Results
20.0ms240×0valid
Compiler

Compiled 281 to 212 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (52.9% of total)
ival-div: 2.0ms (17.6% of total)
ival-add: 2.0ms (17.6% of total)
ival-sub: 1.0ms (8.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.3695900788690892e+95
5.510660521004359e+97
9.0ms
-1.2473715085143186e+166
-4.46356052276912e+165
Results
16.0ms192×0valid
Compiler

Compiled 218 to 161 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (60.9% of total)
ival-sub: 1.0ms (12.2% of total)
ival-div: 1.0ms (12.2% of total)
ival-add: 1.0ms (12.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
16×*-commutative
16×+-commutative
15×sub-neg
10×neg-sub0
10×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092912
1135912
2167912
3188912
4201912
5207912
6209912
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y.im #s(literal -400000000000000008087551650862378795430438529285743096455110742483201601999265723743479131013120 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -3504353730807743/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) (if (<=.f64 y.im #s(literal 1120000000000000035416717728020463501025738752 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -329999999999999984440148978396752984904482664992659746747629306745653026073538092569049392218112 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -1196547670217613/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 6800000000000000622670286364944868794667544608768 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -90000000000000000 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 18999999999999999616126441637347524301211828224 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -3946145612486469/10384593717069655257060992658440192 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 8999999999999999938988538069254651788155375977496576 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -14000000000000000000 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 240000000000000004852530990517427277258263117571445857873066445489920961199559434246087478607872 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -3156916489989175/166153499473114484112975882535043072 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 240000000000000004852530990517427277258263117571445857873066445489920961199559434246087478607872 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -6800000000000000216713692643906711758814683745825441717867831766060355536355427348227549489643491814996009768832036341954196677902655184470933750579011380256650035200 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 55000000000000002149535471559930195366881323454633330127876789695579674068438989725630022088130560 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(/.f64 x.im y.re)
(/.f64 x.im y.im)
Outputs
(if (<=.f64 y.im #s(literal -400000000000000008087551650862378795430438529285743096455110742483201601999265723743479131013120 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -3504353730807743/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) (if (<=.f64 y.im #s(literal 1120000000000000035416717728020463501025738752 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -329999999999999984440148978396752984904482664992659746747629306745653026073538092569049392218112 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -1196547670217613/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 6800000000000000622670286364944868794667544608768 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -329999999999999984440148978396752984904482664992659746747629306745653026073538092569049392218112 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -1196547670217613/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 6800000000000000622670286364944868794667544608768 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -90000000000000000 binary64)) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 18999999999999999616126441637347524301211828224 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -90000000000000000 binary64)) (not (<=.f64 y.im #s(literal 18999999999999999616126441637347524301211828224 binary64)))) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.im #s(literal -3946145612486469/10384593717069655257060992658440192 binary64)) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 8999999999999999938988538069254651788155375977496576 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -3946145612486469/10384593717069655257060992658440192 binary64)) (not (<=.f64 y.im #s(literal 8999999999999999938988538069254651788155375977496576 binary64)))) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.im #s(literal -14000000000000000000 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 240000000000000004852530990517427277258263117571445857873066445489920961199559434246087478607872 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -14000000000000000000 binary64)) (not (<=.f64 y.im #s(literal 240000000000000004852530990517427277258263117571445857873066445489920961199559434246087478607872 binary64)))) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.im #s(literal -3156916489989175/166153499473114484112975882535043072 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 240000000000000004852530990517427277258263117571445857873066445489920961199559434246087478607872 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -3156916489989175/166153499473114484112975882535043072 binary64)) (not (<=.f64 y.im #s(literal 240000000000000004852530990517427277258263117571445857873066445489920961199559434246087478607872 binary64)))) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re))
(if (<=.f64 y.im #s(literal -6800000000000000216713692643906711758814683745825441717867831766060355536355427348227549489643491814996009768832036341954196677902655184470933750579011380256650035200 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 55000000000000002149535471559930195366881323454633330127876789695579674068438989725630022088130560 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(if (or (<=.f64 y.im #s(literal -6800000000000000216713692643906711758814683745825441717867831766060355536355427348227549489643491814996009768832036341954196677902655184470933750579011380256650035200 binary64)) (not (<=.f64 y.im #s(literal 55000000000000002149535471559930195366881323454633330127876789695579674068438989725630022088130560 binary64)))) (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.im y.re)
(/.f64 x.im y.im)

soundness1.1s (11.3%)

Rules
960×log1p-expm1-u
920×log1p-expm1-u
920×expm1-log1p-u
616×associate-*r*
615×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025230
1385194
24625194
059931088
1154229023
2536328519
0105636082
1298034122
028329
1449319
26554319
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1410 to 602 computations (57.3% saved)

preprocess69.0ms (0.7%)

Compiler

Compiled 496 to 202 computations (59.3% saved)

end0.0ms (0%)

Profiling

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