_divideComplex, real part

Time bar (total: 10.9s)

analyze33.0ms (0.3%)

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: 12.0ms (71.4% of total)
ival-add: 3.0ms (17.8% of total)
ival-div: 1.0ms (5.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (13.5%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 650.0ms
ival-mult: 391.0ms (60.2% of total)
ival-div: 126.0ms (19.4% of total)
ival-add: 121.0ms (18.6% of total)
const: 8.0ms (1.2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess412.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1573×fmm-def
912×fma-define
860×times-frac
537×div-sub
318×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

explain177.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
950-0-(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
00-0-x.im
00-0-y.im
00-0-(*.f64 x.im y.im)
00-0-y.re
00-0-x.re
00-0-(*.f64 y.im y.im)
00-0-(*.f64 x.re y.re)
00-0-(*.f64 y.re y.re)
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
00-0-(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Results
139.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (61.3% of total)
ival-add: 5.0ms (20.4% of total)
ival-div: 3.0ms (12.3% of total)
const: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.1%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

localize112.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y.im y.im)
✓cost-diff0
(*.f64 y.re y.re)
✓cost-diff0
(*.f64 x.im y.im)
✓cost-diff0
(*.f64 x.re y.re)
✓accuracy100.0%
(*.f64 x.im y.im)
✓accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓accuracy100.0%
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
✓accuracy64.4%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Rules
6×fma-define
2×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018181
125181
229181
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(*.f64 x.re y.re)
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
Outputs
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(*.f64 x.re y.re)
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(fma.f64 y.im y.im (*.f64 y.re y.re))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
Results
91.0ms256×0valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 70.0ms (93.9% of total)
ival-div: 2.0ms (2.7% of total)
ival-add: 2.0ms (2.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts
7 → 144
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 y.re y.re)>
#<alt (*.f64 y.im y.im)>
Outputs
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 x.re y.re)>
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#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
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#<alt (/.f64 x.im y.im)>
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#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 x.im y.im)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
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#<alt (*.f64 x.im y.im)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
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#<alt (*.f64 x.re y.re)>
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#<alt (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))>
#<alt (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))>
#<alt (*.f64 x.re y.re)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))>
#<alt (*.f64 x.im y.im)>
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#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
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#<alt (*.f64 x.re y.re)>
#<alt (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))>
#<alt (*.f64 x.re y.re)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im (+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im)))>
#<alt (*.f64 x.im (+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im)))>
#<alt (*.f64 x.im (+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im)))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) y.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) x.im)))))>
#<alt (*.f64 x.re y.re)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 x.im y.im)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
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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.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 (pow.f64 y.re #s(literal 2 binary64))>
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#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
Calls

48 calls:

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

rewrite302.0ms (2.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018153
1254143
23543143
Stop Event
1×node limit
Counts
7 → 210
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 x.im y.im)
(*.f64 x.re y.re)
(*.f64 y.re y.re)
(*.f64 y.im y.im)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im y.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.im y.im)))
(exp.f64 (log.f64 (*.f64 x.im y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.re) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re y.re)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.re)))
(exp.f64 (log.f64 (*.f64 x.re y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y.re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 y.re #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))

simplify184.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
533×distribute-lft-neg-in
479×distribute-rgt-neg-in
380×fmm-def
252×associate-*r*
236×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060613204
1150212488
2485712428
Stop Event
1×node limit
Counts
354 → 336
Calls
Call 1
Inputs
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(/.f64 x.re y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
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(log1p.f64 (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 y.re #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (neg.f64 (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (*.f64 x.re (neg.f64 (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (*.f64 y.re (neg.f64 (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)
(/.f64 (+.f64 x.re (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re)))) y.re)
(/.f64 (+.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 (-.f64 (+.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))) (*.f64 x.im (/.f64 y.im y.re)))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(-.f64 (/.f64 (+.f64 x.re (fma.f64 x.im (/.f64 y.im y.re) (*.f64 x.im (neg.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))))) y.re) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) (pow.f64 y.re #s(literal 3 binary64))))
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (+.f64 x.re (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re)))) y.re)
(/.f64 (+.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 (neg.f64 x.re) (pow.f64 y.im #s(literal 2 binary64)))) y.re) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 x.re (/.f64 (-.f64 (*.f64 x.im y.im) (/.f64 (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) y.re)) y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 x.im y.im) (/.f64 (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re)) y.re)) y.re)) y.re)
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im y.im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.im y.im)))
(pow.f64 (*.f64 x.im y.im) #s(literal 1 binary64))
(*.f64 x.im y.im)
(pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))
(*.f64 x.im y.im)
(pow.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im y.im)
(pow.f64 (sqrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64))
(*.f64 x.im y.im)
(sqrt.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)))
(*.f64 x.im y.im)
(log.f64 (pow.f64 (exp.f64 x.im) y.im))
(*.f64 x.im y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im))))
(*.f64 x.im y.im)
(cbrt.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)))
(*.f64 x.im y.im)
(expm1.f64 (log1p.f64 (*.f64 x.im y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.im y.im)))
(*.f64 x.im y.im)
(exp.f64 (log.f64 (*.f64 x.im y.im)))
(*.f64 x.im y.im)
(exp.f64 (*.f64 (log.f64 (*.f64 x.im y.im)) #s(literal 1 binary64)))
(*.f64 x.im y.im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y.re x.re)))
(pow.f64 (*.f64 x.re y.re) #s(literal 1 binary64))
(*.f64 y.re x.re)
(pow.f64 (cbrt.f64 (*.f64 x.re y.re)) #s(literal 3 binary64))
(*.f64 y.re x.re)
(pow.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y.re x.re)
(pow.f64 (sqrt.f64 (*.f64 x.re y.re)) #s(literal 2 binary64))
(*.f64 y.re x.re)
(sqrt.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)))
(*.f64 y.re x.re)
(log.f64 (pow.f64 (exp.f64 y.re) x.re))
(*.f64 y.re x.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re))))
(*.f64 y.re x.re)
(cbrt.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)))
(*.f64 y.re x.re)
(expm1.f64 (log1p.f64 (*.f64 x.re y.re)))
(expm1.f64 (log1p.f64 (*.f64 y.re x.re)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.re)))
(*.f64 y.re x.re)
(exp.f64 (log.f64 (*.f64 x.re y.re)))
(*.f64 y.re x.re)
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.re)) #s(literal 1 binary64)))
(*.f64 y.re x.re)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 y.re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 y.re #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(pow.f64 y.re #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 y.re #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 y.re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 2 binary64)))
(pow.f64 y.re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 y.re #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(sqrt.f64 (pow.f64 y.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 y.im #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(pow.f64 y.im #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 y.im #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(pow.f64 y.im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 2 binary64)))
(pow.f64 y.im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))
(pow.f64 y.im #s(literal 2 binary64))

eval39.0ms (0.4%)

Compiler

Compiled 6662 to 1153 computations (82.7% saved)

prune63.0ms (0.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New31917336
Fresh000
Picked101
Done000
Total32017337
Accuracy
99.8%
Counts
337 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.2%
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
53.3%
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
40.5%
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
63.7%
(/.f64 (+.f64 (*.f64 x.re y.re) (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
52.2%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
▶53.3%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
58.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
59.9%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
60.1%
(/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.1%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
▶53.0%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.7%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.6%
(/.f64 x.re y.re)
▶47.6%
(/.f64 x.im y.im)
▶47.2%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
54.7%
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
▶77.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
Compiler

Compiled 536 to 330 computations (38.4% saved)

localize508.0ms (4.7%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
✓cost-diff0
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
✓cost-diff0
(/.f64 x.re y.re)
✓cost-diff64
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
✓cost-diff-6144
(*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im))))
cost-diff0
(*.f64 y.im y.im)
✓cost-diff0
(/.f64 y.re x.im)
✓cost-diff0
(*.f64 x.re (/.f64 y.re x.im))
✓cost-diff-6272
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
✓cost-diff-6272
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓cost-diff0
(/.f64 y.im y.re)
✓cost-diff0
(*.f64 x.im (/.f64 y.im y.re))
✓cost-diff0
(/.f64 x.im y.im)
✓cost-diff0
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
✓cost-diff0
(hypot.f64 y.re y.im)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓cost-diff192
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
✓accuracy100.0%
(/.f64 x.re y.re)
✓accuracy96.6%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
✓accuracy93.0%
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
✓accuracy90.1%
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓accuracy91.4%
(*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im))))
✓accuracy91.2%
(*.f64 x.re (/.f64 y.re x.im))
✓accuracy64.4%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓accuracy100.0%
(/.f64 y.im y.re)
✓accuracy100.0%
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
✓accuracy99.9%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓accuracy93.6%
(*.f64 x.im (/.f64 y.im y.re))
✓accuracy100.0%
(/.f64 x.im y.im)
accuracy100.0%
(*.f64 x.im y.im)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
✓accuracy78.0%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Rules
1153×fma-define
728×associate-/r/
529×cube-prod
433×distribute-lft-in
351×swap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038707
173676
2127676
3244662
4431662
5799662
61989662
73092662
83583662
94168662
104730662
116229662
126428662
136557662
146657662
156786662
166933662
177118662
187328662
197616662
207987662
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
(fma.f64 x.re y.re (*.f64 x.im y.im))
x.re
(*.f64 x.im y.im)
x.im
(/.f64 x.im y.im)
x.im
y.im
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
x.re
(*.f64 x.im (/.f64 y.im y.re))
x.im
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im))))
x.im
(+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))
y.im
(*.f64 x.re (/.f64 y.re x.im))
x.re
(/.f64 y.re x.im)
y.re
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 x.re y.re)
x.re
y.re
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
x.im
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
y.im
(pow.f64 y.re #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
x.re
(*.f64 x.im y.im)
(*.f64 y.im x.im)
x.im
(/.f64 x.im y.im)
x.im
y.im
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 y.im (/.f64 x.im y.re) x.re)
x.re
(*.f64 x.im (/.f64 y.im y.re))
(*.f64 y.im (/.f64 x.im y.re))
x.im
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im))))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
x.im
(+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(fma.f64 y.re (/.f64 x.re x.im) y.im)
y.im
(*.f64 x.re (/.f64 y.re x.im))
(*.f64 y.re (/.f64 x.re x.im))
x.re
(/.f64 y.re x.im)
y.re
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 y.re y.re)
(pow.f64 y.re #s(literal 2 binary64))
(*.f64 y.im y.im)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (fma.f64 y.im (/.f64 x.im y.re) x.re))
(*.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 x.re y.re)
x.re
y.re
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.im x.im) (pow.f64 y.re #s(literal 2 binary64)))
x.im
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
y.im
(pow.f64 y.re #s(literal 2 binary64))
#s(literal 2 binary64)
Results
96.0ms256×0valid
Compiler

Compiled 178 to 31 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 20.0ms (32.7% of total)
ival-div: 15.0ms (24.5% of total)
<compiled-spec>: 12.0ms (19.6% of total)
ival-add: 7.0ms (11.4% of total)
ival-pow: 4.0ms (6.5% of total)
ival-sqrt: 2.0ms (3.3% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series83.0ms (0.8%)

Counts
17 → 492
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 x.im (/.f64 y.im y.re))>
#<alt (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)>
#<alt (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 x.re (/.f64 y.re x.im))>
#<alt (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im))))>
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 x.re y.re)>
#<alt (hypot.f64 y.re y.im)>
#<alt (/.f64 y.re x.im)>
Outputs
#<alt (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt x.im>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))>
#<alt (+.f64 x.im (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re))) y.re)) (*.f64 x.im y.im)) y.re)))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
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#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt y.im>
#<alt (+.f64 y.im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)))>
#<alt (+.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y.im)))))>
#<alt (+.f64 y.im (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y.im)))))>
#<alt y.re>
#<alt (*.f64 y.re (+.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))))))>
#<alt (*.f64 y.re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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)))))))>
#<alt (*.f64 y.re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (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))))))))>
#<alt (*.f64 #s(literal -1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (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)))))))))>
#<alt y.re>
#<alt (+.f64 y.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)))>
#<alt (+.f64 y.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y.re)))))>
#<alt (+.f64 y.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y.re)))))>
#<alt y.im>
#<alt (*.f64 y.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (*.f64 y.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (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)))))))))>
Calls

153 calls:

TimeVariablePointExpression
6.0ms
x.re
@0
(+ (/ x.re y.re) (* x.im (/ y.im (pow y.re 2))))
4.0ms
x.im
@0
(/ x.im y.im)
3.0ms
x.im
@0
(/ (* x.im (+ y.im (* x.re (/ y.re x.im)))) (+ (* y.re y.re) (* y.im y.im)))
3.0ms
y.im
@0
(* x.im (/ y.im (pow y.re 2)))
3.0ms
x.im
@-inf
(* x.im (/ y.im y.re))

rewrite155.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
302×log1p-expm1-u
302×expm1-log1p-u
295×add-cube-cbrt
293×add-exp-log
293×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038502
1663472
Stop Event
1×node limit
Counts
17 → 439
Calls
Call 1
Inputs
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(/.f64 x.im y.im)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(/.f64 y.im y.re)
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 y.re x.im))
(*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im))))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 x.re y.re)
(hypot.f64 y.re y.im)
(/.f64 y.re x.im)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (sqrt.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (sqrt.f64 x.im)) (/.f64 (cbrt.f64 y.re) (sqrt.f64 x.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 x.im)))
(pow.f64 (/.f64 y.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.re x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.re x.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 x.im y.re) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 y.re x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re x.im))))
(cbrt.f64 (pow.f64 (/.f64 y.re x.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.re x.im)))
(log1p.f64 (expm1.f64 (/.f64 y.re x.im)))
(exp.f64 (log.f64 (/.f64 y.re x.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re x.im)) #s(literal 1 binary64)))

simplify345.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
606×fma-define
531×times-frac
335×*-commutative
333×distribute-rgt-in
325×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0142340459
1362238473
Stop Event
1×node limit
Counts
931 → 887
Calls
Call 1
Inputs
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))))
(*.f64 #s(literal -1 binary64) x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re)))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re))) y.re)) (*.f64 x.im y.im)) y.re)))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.im (+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))))
(+.f64 x.re (*.f64 y.im (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im)))
(+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))))
(*.f64 #s(literal -1 binary64) x.im)
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im)))
(+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im))) y.im)) (*.f64 x.re y.re)) y.im)))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 x.re y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 x.im y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(exp.f64 (*.f64 (log.f64 (/.f64 x.re y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (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.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (sqrt.f64 (+.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))))))
(pow.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 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 y.re y.im))
(log.f64 (exp.f64 (hypot.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y.re y.im))))
(cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (hypot.f64 y.re y.im)))
(exp.f64 (log.f64 (hypot.f64 y.re y.im)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.re x.im))) #s(literal 1 binary64))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(*.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.re x.im)))
(*.f64 (sqrt.f64 (/.f64 y.re x.im)) (sqrt.f64 (/.f64 y.re x.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) x.im))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x.im)) (/.f64 y.re (sqrt.f64 x.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re x.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (sqrt.f64 x.im)) (/.f64 (cbrt.f64 y.re) (sqrt.f64 x.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 x.im)))
(pow.f64 (/.f64 y.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.re x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.re x.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 x.im y.re) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 y.re x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re x.im))))
(cbrt.f64 (pow.f64 (/.f64 y.re x.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.re x.im)))
(log1p.f64 (expm1.f64 (/.f64 y.re x.im)))
(exp.f64 (log.f64 (/.f64 y.re x.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re x.im)) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.im (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(+.f64 (*.f64 (*.f64 x.im y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im y.im (*.f64 y.re x.re)))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 y.re x.re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.re x.re))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im (/.f64 y.im x.re) y.re)))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im (/.f64 y.im x.re) y.re)))
(*.f64 x.re (+.f64 (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))))
(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (fma.f64 x.im (/.f64 y.im x.re) y.re)))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 y.re x.re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.re x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (/.f64 y.im x.re) y.re))) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (/.f64 y.im x.re) y.re))) (neg.f64 x.re))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.im (/.f64 y.im x.re) y.re))) (neg.f64 x.re))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im)
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))))
(fma.f64 y.re (fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.re y.im)) x.im)
x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))
(+.f64 x.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))))
(+.f64 x.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.im y.re))))
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))))
(+.f64 x.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re)))))
(+.f64 x.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re)))
(*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) y.re) (*.f64 x.im y.im)) y.re)))
(-.f64 (neg.f64 x.re) (/.f64 (fma.f64 x.im y.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) y.re))) y.re))
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re))) y.re)) (*.f64 x.im y.im)) y.re)))
(*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)))) y.re) (*.f64 x.im y.im)) y.re)))
(-.f64 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re))) y.re)) y.re))
(*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 y.re x.re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 y.re x.re))
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y.re
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y.im
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (hypot.f64 y.re y.im))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
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(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (*.f64 (/.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64)) (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.im (*.f64 y.re x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (fma.f64 x.im y.im (*.f64 y.re x.re))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.im (*.f64 y.re x.re))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.im (*.f64 y.re x.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (fma.f64 x.im y.im (*.f64 y.re x.re))))
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(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
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(/.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal -1 binary64)) (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.im (*.f64 y.re x.re))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
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(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
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(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(*.f64 (sqrt.f64 (/.f64 y.re x.im)) (sqrt.f64 (/.f64 y.re x.im)))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) x.im))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) x.im))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 x.im)))
(/.f64 (/.f64 y.re (cbrt.f64 x.im)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x.im)) (/.f64 y.re (sqrt.f64 x.im)))
(/.f64 (/.f64 y.re (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re x.im)))
(*.f64 (cbrt.f64 (/.f64 y.re x.im)) (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (sqrt.f64 x.im)) (/.f64 (cbrt.f64 y.re) (sqrt.f64 x.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 x.im)))
(pow.f64 (/.f64 y.re x.im) #s(literal 1 binary64))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(pow.f64 (cbrt.f64 (/.f64 y.re x.im)) #s(literal 3 binary64))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(pow.f64 (pow.f64 (/.f64 y.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(pow.f64 (sqrt.f64 (/.f64 y.re x.im)) #s(literal 2 binary64))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(pow.f64 (/.f64 x.im y.re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x.im y.re))
(sqrt.f64 (pow.f64 (/.f64 y.re x.im) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y.re x.im))
(log.f64 (exp.f64 (/.f64 y.re x.im)))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re x.im))))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(cbrt.f64 (pow.f64 (/.f64 y.re x.im) #s(literal 3 binary64)))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(expm1.f64 (log1p.f64 (/.f64 y.re x.im)))
(log1p.f64 (expm1.f64 (/.f64 y.re x.im)))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(exp.f64 (log.f64 (/.f64 y.re x.im)))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)
(exp.f64 (*.f64 (log.f64 (/.f64 y.re x.im)) #s(literal 1 binary64)))
(*.f64 y.re (/.f64 #s(literal 1 binary64) x.im))
(/.f64 y.re x.im)

eval135.0ms (1.2%)

Compiler

Compiled 22473 to 3518 computations (84.3% saved)

prune386.0ms (3.5%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1044161060
Fresh4812
Picked235
Done000
Total1050271077
Accuracy
100.0%
Counts
1077 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.2%
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
50.6%
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) y.re)
52.2%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
47.4%
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
53.1%
(/.f64 (+.f64 x.re (*.f64 x.im (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
✓53.3%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
58.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
59.9%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
60.1%
(/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.1%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
▶45.0%
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
50.6%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
✓53.0%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.7%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
▶40.6%
(/.f64 x.re y.re)
✓47.6%
(/.f64 x.im y.im)
47.3%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
76.7%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
49.4%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 y.im y.re))))
54.7%
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
▶80.2%
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
31.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))))
31.0%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
▶32.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
▶31.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
29.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
45.0%
(*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)))
Compiler

Compiled 821 to 507 computations (38.2% saved)

localize277.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
✓cost-diff0
(neg.f64 x.im)
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
✓cost-diff-6144
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
✓cost-diff0
(/.f64 x.im y.re)
✓cost-diff0
(/.f64 x.re y.im)
✓cost-diff0
(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
cost-diff0
(/.f64 x.re y.re)
cost-diff0
(/.f64 y.re x.im)
✓cost-diff0
(fma.f64 x.re (/.f64 y.re x.im) y.im)
✓cost-diff0
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))
✓cost-diff6528
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
✓accuracy100.0%
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓accuracy95.8%
(fma.f64 x.im (/.f64 y.im y.re) x.re)
✓accuracy90.9%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
accuracy100.0%
(hypot.f64 y.re y.im)
✓accuracy100.0%
(neg.f64 x.im)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
✓accuracy100.0%
(/.f64 x.im y.re)
✓accuracy99.9%
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
✓accuracy99.6%
(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
✓accuracy81.9%
(*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))
accuracy100.0%
(/.f64 x.re y.re)
✓accuracy100.0%
(/.f64 x.im (hypot.f64 y.re y.im))
✓accuracy95.9%
(fma.f64 x.re (/.f64 y.re x.im) y.im)
✓accuracy93.3%
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))
✓accuracy89.6%
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
Rules
906×fmm-def
694×fma-define
532×div-sub
363×associate-*r/
333×times-frac
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
033664
176652
2162652
3441609
4952609
52194609
65131600
77674600
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
x.re
(/.f64 y.re x.im)
y.re
x.im
y.im
(hypot.f64 y.re y.im)
(/.f64 x.im (hypot.f64 y.re y.im))
(/.f64 x.re y.re)
x.re
y.re
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))
y.im
(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.re y.im)
x.re
(/.f64 x.im y.re)
x.im
y.re
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(neg.f64 x.im)
x.im
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
x.im
(/.f64 y.im y.re)
x.re
Outputs
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (/.f64 x.im (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))))
(*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (/.f64 x.im (fma.f64 y.re y.re (*.f64 y.im y.im))))
(*.f64 x.im (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (fma.f64 y.re y.re (*.f64 y.im y.im))))
(/.f64 (*.f64 x.im (fma.f64 y.re (/.f64 x.re x.im) y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.re (/.f64 x.re x.im) y.im) (hypot.f64 y.re y.im))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(fma.f64 y.re (/.f64 x.re x.im) y.im)
x.re
(/.f64 y.re x.im)
y.re
x.im
y.im
(hypot.f64 y.re y.im)
(/.f64 x.im (hypot.f64 y.re y.im))
(/.f64 x.re y.re)
x.re
y.re
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 y.im (/.f64 x.im y.re) x.re)
y.im
(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.re y.im)
x.re
(/.f64 x.im y.re)
x.im
y.re
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
(/.f64 (neg.f64 x.im) (hypot.f64 y.re y.im))
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(neg.f64 x.im)
x.im
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.f64 (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(neg.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))
(fma.f64 y.im (/.f64 x.im y.re) x.re)
x.im
(/.f64 y.im y.re)
x.re
Results
91.0ms256×0valid
Compiler

Compiled 158 to 25 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-div: 20.0ms (31% of total)
<compiled-spec>: 18.0ms (27.9% of total)
ival-mult: 17.0ms (26.4% of total)
ival-add: 5.0ms (7.8% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-neg: 2.0ms (3.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series74.0ms (0.7%)

Counts
14 → 516
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))>
#<alt (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))>
#<alt (fma.f64 x.re (/.f64 y.re x.im) y.im)>
#<alt (/.f64 x.im (hypot.f64 y.re y.im))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))>
#<alt (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))>
#<alt (/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))>
#<alt (neg.f64 x.im)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))>
#<alt (fma.f64 x.im (/.f64 y.im y.re) x.re)>
#<alt (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))>
#<alt (/.f64 x.re y.im)>
Outputs
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 y.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 y.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 y.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
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#<alt (+.f64 (*.f64 #s(literal -1 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))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal -1 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))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #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.im) (*.f64 x.re y.re)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #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.im) (*.f64 x.re y.re)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #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.im) (*.f64 x.re y.re)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
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#<alt (*.f64 #s(literal -1 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.im) (*.f64 x.re y.re)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
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#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt x.re>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
#<alt x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.im y.re)))>
#<alt (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.im y.re)))>
#<alt (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 y.im y.re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 x.re x.im) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 x.re x.im) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (/.f64 x.re x.im) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 x.im y.re)))>
#<alt (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 x.im y.re)))>
#<alt (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 x.im y.re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (/.f64 x.re y.im) (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (/.f64 x.re y.im) (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (/.f64 x.re y.im) (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.re)) (*.f64 x.im y.im)) y.re)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.re)) (*.f64 x.im y.im)) y.re)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re y.re)) (*.f64 x.im y.im)) y.re)>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)) x.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64)))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64)))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))))>
Calls

141 calls:

TimeVariablePointExpression
15.0ms
x.im
@inf
(/ (+ (* x.re (/ y.re x.im)) y.im) (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms
x.im
@inf
(/ x.im y.re)
1.0ms
x.re
@0
(neg (+ (* x.im (/ y.im y.re)) x.re))
1.0ms
x.im
@0
(/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms
y.im
@inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (neg x.im))

rewrite235.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
255×associate-*r*
238×log1p-expm1-u
238×expm1-log1p-u
236×add-exp-log
236×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032445
1525425
Stop Event
1×node limit
Counts
14 → 547
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(/.f64 x.im (hypot.f64 y.re y.im))
(*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))
(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 x.im y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
(neg.f64 x.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(/.f64 x.re y.im)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 x.im (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im))))
(/.f64 x.im (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)) (hypot.f64 y.re y.im)))
(/.f64 x.im (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 x.im (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im))))
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
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(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (sqrt.f64 (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64)) (hypot.f64 y.re y.im))
(/.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 y.re y.im)))
(pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(neg.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(+.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(+.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
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(+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64)) x.re)
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 y.im y.re))) x.re)
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (neg.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 y.im y.re))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 y.im y.re))) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 1 binary64)))
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(+.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re)
(+.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(+.f64 (neg.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 x.re))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 x.re))
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64)) x.re)
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal -1 binary64)) (*.f64 x.re #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 y.im y.re))) x.re)
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (neg.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 y.im y.re))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 y.im y.re))) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re y.im))) #s(literal 1 binary64))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x.re y.im))
(*.f64 (cbrt.f64 (/.f64 x.re y.im)) (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (sqrt.f64 (/.f64 x.re y.im)) (sqrt.f64 (/.f64 x.re y.im)))
(*.f64 (sqrt.f64 x.re) (/.f64 (sqrt.f64 x.re) y.im))
(*.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) y.im))
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 y.im)))
(pow.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im x.re) #s(literal -1 binary64))
(neg.f64 (/.f64 x.re (neg.f64 y.im)))
(neg.f64 (/.f64 (neg.f64 x.re) y.im))
(sqrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 x.re y.im)))
(exp.f64 (log.f64 (/.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re y.im)) #s(literal 1 binary64)))

simplify687.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
556×distribute-rgt-in
555×distribute-lft-in
428×*-commutative
226×distribute-rgt-neg-in
221×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0161348356
1444746945
Stop Event
1×node limit
Counts
1063 → 1039
Calls
Call 1
Inputs
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 x.re))
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64)) x.re)
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal -1 binary64)) (*.f64 x.re #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 y.im y.re))) x.re)
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (neg.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 y.im y.re))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re)))))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 y.im y.re))) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re y.im))) #s(literal 1 binary64))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x.re y.im))
(*.f64 (cbrt.f64 (/.f64 x.re y.im)) (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (sqrt.f64 (/.f64 x.re y.im)) (sqrt.f64 (/.f64 x.re y.im)))
(*.f64 (sqrt.f64 x.re) (/.f64 (sqrt.f64 x.re) y.im))
(*.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) y.im))
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 y.im)))
(pow.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im x.re) #s(literal -1 binary64))
(neg.f64 (/.f64 x.re (neg.f64 y.im)))
(neg.f64 (/.f64 (neg.f64 x.re) y.im))
(sqrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 x.re y.im)))
(exp.f64 (log.f64 (/.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re y.im)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (neg.f64 (-.f64 (*.f64 (neg.f64 (/.f64 x.im x.re)) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (neg.f64 (-.f64 (*.f64 (neg.f64 (/.f64 x.im x.re)) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 (neg.f64 x.re) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (neg.f64 (-.f64 (*.f64 (neg.f64 (/.f64 x.im x.re)) (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 (*.f64 y.re (neg.f64 x.re)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (*.f64 (neg.f64 x.re) (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 y.im y.re))) x.re)
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal -1 binary64))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(*.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (neg.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 y.im y.re))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 y.im y.re)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64))) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 y.im y.re))) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(/.f64 (-.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (/.f64 y.im y.re) (/.f64 y.im y.re))) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(/.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (/.f64 y.im y.re) (/.f64 y.im y.re)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.im y.re) x.re))
(pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 3 binary64))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(pow.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(pow.f64 (sqrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(sqrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))
(log.f64 (exp.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(cbrt.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) #s(literal 3 binary64)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(expm1.f64 (log1p.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(log1p.f64 (expm1.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(exp.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re y.im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x.re y.im)))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))
(/.f64 x.re y.im)
(*.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(/.f64 x.re y.im)
(*.f64 #s(literal 1 binary64) (/.f64 x.re y.im))
(/.f64 x.re y.im)
(*.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 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.im)))
(/.f64 x.re y.im)
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(/.f64 x.re y.im)
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (/.f64 #s(literal 1 binary64) y.im)))
(/.f64 x.re y.im)
(*.f64 (sqrt.f64 (/.f64 x.re y.im)) (sqrt.f64 (/.f64 x.re y.im)))
(/.f64 x.re y.im)
(*.f64 (sqrt.f64 x.re) (/.f64 (sqrt.f64 x.re) y.im))
(/.f64 x.re y.im)
(*.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) (/.f64 #s(literal 1 binary64) y.im)))
(/.f64 x.re y.im)
(*.f64 (neg.f64 x.re) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(/.f64 x.re y.im)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.re)
(/.f64 x.re y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 y.im)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x.re (cbrt.f64 y.im))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 x.re (cbrt.f64 y.im)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 x.re (sqrt.f64 y.im)))
(/.f64 (/.f64 x.re (sqrt.f64 y.im)) (sqrt.f64 y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) y.im))
(/.f64 x.re y.im)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re y.im)))
(*.f64 (cbrt.f64 (/.f64 x.re y.im)) (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 x.re) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) y.im))
(/.f64 x.re y.im)
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 y.im)))
(pow.f64 (/.f64 x.re y.im) #s(literal 1 binary64))
(/.f64 x.re y.im)
(pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 3 binary64))
(/.f64 x.re y.im)
(pow.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x.re y.im)
(pow.f64 (sqrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64))
(/.f64 x.re y.im)
(pow.f64 (/.f64 y.im x.re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(neg.f64 (/.f64 x.re (neg.f64 y.im)))
(/.f64 x.re y.im)
(neg.f64 (/.f64 (neg.f64 x.re) y.im))
(/.f64 x.re y.im)
(sqrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x.re y.im))
(log.f64 (exp.f64 (/.f64 x.re y.im)))
(/.f64 x.re y.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re y.im))))
(/.f64 x.re y.im)
(cbrt.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64)))
(/.f64 x.re y.im)
(expm1.f64 (log1p.f64 (/.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (/.f64 x.re y.im)))
(/.f64 x.re y.im)
(exp.f64 (log.f64 (/.f64 x.re y.im)))
(/.f64 x.re y.im)
(exp.f64 (*.f64 (log.f64 (/.f64 x.re y.im)) #s(literal 1 binary64)))
(/.f64 x.re y.im)

eval314.0ms (2.9%)

Compiler

Compiled 35520 to 4915 computations (86.2% saved)

prune456.0ms (4.2%)

Pruning

39 alts after pruning (34 fresh and 5 done)

PrunedKeptTotal
New1586231609
Fresh81119
Picked325
Done033
Total1597391636
Accuracy
100.0%
Counts
1636 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))) #s(literal 3 binary64))
63.5%
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) x.im)))
24.0%
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
50.6%
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓53.3%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
58.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
59.9%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
60.1%
(/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
▶40.1%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
36.5%
(/.f64 (*.f64 y.im (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.re)) y.re)
▶34.5%
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
✓45.0%
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
50.6%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
25.0%
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
✓53.0%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.7%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
▶11.0%
(/.f64 (neg.f64 x.re) y.re)
✓40.6%
(/.f64 x.re y.re)
31.5%
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
✓47.6%
(/.f64 x.im y.im)
40.6%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
47.3%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
79.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)) (/.f64 (hypot.f64 y.re y.im) x.im)))
10.5%
(-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
54.7%
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
31.2%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (neg.f64 x.im))
▶82.2%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
42.2%
(*.f64 (/.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) y.re) y.im)
62.0%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
31.0%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
28.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.im (-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))))
19.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 (neg.f64 y.im) y.re)))
▶18.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
29.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
10.9%
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.im))
10.1%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (neg.f64 x.im))
10.8%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.im))
41.9%
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))
40.5%
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 1041 to 667 computations (35.9% saved)

localize286.0ms (2.6%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))
✓cost-diff192
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
✓cost-diff-6272
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
cost-diff0
(*.f64 y.im y.im)
cost-diff0
(*.f64 y.re y.re)
✓cost-diff0
(*.f64 y.re x.re)
cost-diff0
(/.f64 x.re y.im)
✓cost-diff256
(*.f64 y.im (/.f64 x.re y.im))
✓cost-diff256
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
✓cost-diff0
(neg.f64 x.re)
✓cost-diff0
(/.f64 (neg.f64 x.re) y.re)
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(*.f64 x.re y.re)
✓cost-diff0
(/.f64 (*.f64 x.re y.re) x.im)
✓cost-diff256
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
✓accuracy100.0%
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓accuracy95.0%
(/.f64 (*.f64 x.im y.im) y.re)
✓accuracy89.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
✓accuracy100.0%
(*.f64 y.re x.re)
accuracy100.0%
(*.f64 y.im y.im)
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
✓accuracy78.1%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓accuracy100.0%
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
accuracy100.0%
(/.f64 x.re y.im)
✓accuracy75.7%
(*.f64 y.im (/.f64 x.re y.im))
✓accuracy100.0%
(/.f64 (neg.f64 x.re) y.re)
✓accuracy100.0%
(neg.f64 x.re)
✓accuracy100.0%
(+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im)
✓accuracy95.3%
(/.f64 (*.f64 x.re y.re) x.im)
✓accuracy93.3%
(/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im))
✓accuracy89.6%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
Rules
873×fmm-def
762×fma-define
366×div-sub
356×distribute-lft-in
321×times-frac
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
036615
177597
2156597
3361581
4754575
51457575
62703566
74514566
85654566
96802566
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im))
(+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im)
(/.f64 (*.f64 x.re y.re) x.im)
(*.f64 x.re y.re)
x.re
y.re
x.im
y.im
(hypot.f64 y.re y.im)
(/.f64 x.im (hypot.f64 y.re y.im))
(/.f64 (neg.f64 x.re) y.re)
(neg.f64 x.re)
x.re
y.re
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
(*.f64 y.im (/.f64 x.re y.im))
y.im
(/.f64 x.re y.im)
x.re
y.re
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.re x.re)
y.re
x.re
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
y.im
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))
#s(literal -1 binary64)
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im y.im)
x.im
Outputs
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (+.f64 (*.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 x.im (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (fma.f64 y.re y.re (*.f64 y.im y.im))))
(/.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im))
(/.f64 (+.f64 (*.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))
(+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im)
(+.f64 (*.f64 x.re (/.f64 y.re x.im)) y.im)
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(/.f64 (*.f64 x.re y.re) x.im)
(*.f64 x.re (/.f64 y.re x.im))
(*.f64 x.re y.re)
x.re
y.re
x.im
y.im
(hypot.f64 y.re y.im)
(/.f64 x.im (hypot.f64 y.re y.im))
(/.f64 (neg.f64 x.re) y.re)
(neg.f64 (/.f64 x.re y.re))
(/.f64 x.re (neg.f64 y.re))
(neg.f64 x.re)
x.re
y.re
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
(*.f64 (/.f64 x.re y.im) (/.f64 y.im y.re))
(*.f64 x.re (/.f64 y.im (*.f64 y.re y.im)))
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 x.re y.re)
(*.f64 y.im (/.f64 x.re y.im))
x.re
y.im
(/.f64 x.re y.im)
x.re
y.re
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.re (/.f64 x.re (fma.f64 y.re y.re (*.f64 y.im y.im))))
(/.f64 (*.f64 x.re y.re) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 y.re (fma.f64 y.re y.re (*.f64 y.im y.im))))
(*.f64 y.re x.re)
(*.f64 x.re y.re)
y.re
x.re
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
y.im
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 (/.f64 (*.f64 x.im y.im) (neg.f64 y.re)) (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.im (neg.f64 (/.f64 x.im y.re))) (hypot.f64 y.re y.im))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.im (neg.f64 y.re)))
(*.f64 (neg.f64 y.im) (/.f64 (/.f64 x.im y.re) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (neg.f64 y.im) y.re))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))
(neg.f64 (*.f64 x.im (/.f64 y.im y.re)))
(/.f64 (*.f64 x.im y.im) (neg.f64 y.re))
(*.f64 y.im (neg.f64 (/.f64 x.im y.re)))
(*.f64 y.im (/.f64 x.im (neg.f64 y.re)))
(*.f64 x.im (/.f64 (neg.f64 y.im) y.re))
#s(literal -1 binary64)
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im y.im)
x.im
Results
125.0ms256×0valid
Compiler

Compiled 157 to 29 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 21.0ms (40.2% of total)
ival-div: 15.0ms (28.7% of total)
<compiled-spec>: 8.0ms (15.3% of total)
ival-add: 4.0ms (7.7% of total)
ival-sqrt: 2.0ms (3.8% of total)
const: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.3%)

Counts
13 → 336
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))>
#<alt (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im))>
#<alt (/.f64 (*.f64 x.re y.re) x.im)>
#<alt (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im)>
#<alt (neg.f64 x.re)>
#<alt (/.f64 (neg.f64 x.re) y.re)>
#<alt (*.f64 y.im (/.f64 x.re y.im))>
#<alt (/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)>
#<alt (/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 y.re x.re)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))>
Outputs
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (/.f64 x.im y.im)>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) y.re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 (pow.f64 y.im #s(literal 6 binary64)) y.re))))))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) y.re))) (/.f64 x.im y.re)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (*.f64 (pow.f64 y.im #s(literal 4 binary64)) y.re))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 (pow.f64 y.im #s(literal 6 binary64)) y.re))) (/.f64 x.im y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
Calls

111 calls:

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

rewrite145.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
272×log1p-expm1-u
272×expm1-log1p-u
269×add-cube-cbrt
268×add-exp-log
268×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036392
1624358
Stop Event
1×node limit
Counts
13 → 422
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im))
(/.f64 (*.f64 x.re y.re) x.im)
(+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im)
(neg.f64 x.re)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 y.im (/.f64 x.re y.im))
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.re x.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 x.im (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)) (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (/.f64 x.im (hypot.f64 y.re y.im)))))
(/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (neg.f64 x.im) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) (neg.f64 y.im)) (*.f64 (/.f64 (hypot.f64 y.re y.im) x.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) x.im) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 x.im #s(literal 1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im))))
(/.f64 (*.f64 (neg.f64 x.im) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im))))
(/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) #s(literal 1 binary64)) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) (neg.f64 y.im)) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (neg.f64 x.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) (neg.f64 y.im)) x.im) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) (neg.f64 y.im)) (neg.f64 x.im)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 x.im (fma.f64 x.re (/.f64 y.re x.im) y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (*.f64 x.im (fma.f64 x.re (/.f64 y.re x.im) (neg.f64 y.im))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x.im) (fma.f64 x.re (/.f64 y.re x.im) (neg.f64 y.im))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) x.im)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (/.f64 x.im (hypot.f64 y.re y.im)))) (neg.f64 (hypot.f64 y.re y.im)))
(pow.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))))
(*.f64 (fma.f64 x.re (/.f64 y.re x.im) (neg.f64 y.im)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im)) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)))
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(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re)))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 x.im y.im)) #s(literal -1 binary64))
(neg.f64 (*.f64 x.im (/.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im y.im)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y.re (*.f64 x.im y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im (neg.f64 y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re (*.f64 x.im y.im)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 x.im y.im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y.re (*.f64 x.im y.im))))
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) (neg.f64 y.re))
(/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)
(/.f64 (*.f64 x.im (neg.f64 y.im)) (neg.f64 y.re))
(/.f64 (*.f64 x.im (neg.f64 y.im)) (neg.f64 (neg.f64 y.re)))
(/.f64 (neg.f64 (*.f64 x.im (neg.f64 y.im))) (neg.f64 y.re))
(/.f64 (neg.f64 (*.f64 x.im (neg.f64 y.im))) (neg.f64 (neg.f64 y.re)))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 x.im y.im)) #s(literal -1 binary64))
(neg.f64 (*.f64 x.im (/.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))

simplify514.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
913×times-frac
814×fma-define
333×*-commutative
305×distribute-lft-in
181×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131630343
1351228780
Stop Event
1×node limit
Counts
758 → 820
Calls
Call 1
Inputs
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(/.f64 x.re y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 x.im y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(*.f64 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 x.re (+.f64 (*.f64 (/.f64 y.im x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 y.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (+.f64 (*.f64 (/.f64 y.im x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 y.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 x.re (+.f64 (*.f64 (/.f64 y.im x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 y.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 (/.f64 (*.f64 x.re y.re) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))
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(neg.f64 (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) y.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.re y.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 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.re y.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re y.re)) #s(literal 2 binary64))
(neg.f64 (*.f64 x.re y.re))
(sqrt.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x.re) y.re)))
(cbrt.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re y.re)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.re)))
(exp.f64 (log.f64 (*.f64 x.re y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (/.f64 y.re (*.f64 x.im y.im)))
(/.f64 (*.f64 x.im (neg.f64 y.im)) (*.f64 (hypot.f64 y.re y.im) y.re))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (neg.f64 y.im))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) y.re))
(/.f64 (*.f64 (*.f64 x.im (neg.f64 y.im)) #s(literal 1 binary64)) (*.f64 y.re (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (*.f64 x.im (neg.f64 y.im)) #s(literal -1 binary64)) (*.f64 y.re (neg.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re)))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(*.f64 x.im (neg.f64 (/.f64 y.im y.re)))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.im y.re)))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.im y.re)))
(*.f64 (*.f64 x.im y.im) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (*.f64 x.im y.im) (neg.f64 (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal -1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) (neg.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 (neg.f64 x.im) (/.f64 y.im y.re))
(*.f64 (*.f64 x.im (neg.f64 y.im)) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (*.f64 x.im (neg.f64 y.im)) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.im y.im) (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y.re)) (/.f64 (*.f64 x.im y.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (*.f64 x.im y.im) (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 (*.f64 x.im y.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 y.im (sqrt.f64 y.re)) (/.f64 x.im (sqrt.f64 y.re)))
(*.f64 (/.f64 y.im #s(literal 1 binary64)) (/.f64 x.im y.re))
(*.f64 (/.f64 y.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.re)))
(*.f64 (/.f64 x.im #s(literal 1 binary64)) (/.f64 y.im y.re))
(*.f64 (/.f64 x.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(*.f64 (/.f64 x.im (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x.im y.im)) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 (*.f64 x.im y.im)) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) y.re))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (cbrt.f64 y.re)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re)))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re)))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 x.im y.im)) #s(literal -1 binary64))
(neg.f64 (*.f64 x.im (/.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 y.im y.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im y.im)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y.re (*.f64 x.im y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im (neg.f64 y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re (*.f64 x.im y.im)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 x.im y.im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y.re (*.f64 x.im y.im))))
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (*.f64 x.im y.im) (neg.f64 y.re))
(/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)
(/.f64 (*.f64 x.im (neg.f64 y.im)) (neg.f64 y.re))
(/.f64 (*.f64 x.im (neg.f64 y.im)) (neg.f64 (neg.f64 y.re)))
(/.f64 (neg.f64 (*.f64 x.im (neg.f64 y.im))) (neg.f64 y.re))
(/.f64 (neg.f64 (*.f64 x.im (neg.f64 y.im))) (neg.f64 (neg.f64 y.re)))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 x.im y.im)) #s(literal -1 binary64))
(neg.f64 (*.f64 x.im (/.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (/.f64 x.im x.re) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
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(/.f64 x.im y.im)
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(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
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#s(literal 1 binary64)
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(/.f64 x.re x.im)
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(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))
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(*.f64 x.re (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 y.re x.im)))
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(*.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
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(/.f64 x.re x.im)
(+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re))
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 (/.f64 y.re x.im) y.im)))
(fma.f64 x.re (/.f64 (/.f64 y.re x.im) y.im) #s(literal 1 binary64))
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#s(literal -1 binary64)
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(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (/.f64 y.re x.im) y.im)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)) #s(literal -1 binary64))
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y.im
(+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(fma.f64 y.re (/.f64 x.re x.im) y.im)
(+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(fma.f64 y.re (/.f64 x.re x.im) y.im)
(+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(fma.f64 y.re (/.f64 x.re x.im) y.im)
(/.f64 (*.f64 x.re y.re) x.im)
(*.f64 y.re (/.f64 x.re x.im))
(*.f64 x.re (+.f64 (/.f64 y.im x.re) (/.f64 y.re x.im)))
(*.f64 x.re (+.f64 (/.f64 y.im x.re) (/.f64 y.re x.im)))
(*.f64 x.re (+.f64 (/.f64 y.im x.re) (/.f64 y.re x.im)))
(/.f64 (*.f64 x.re y.re) x.im)
(*.f64 y.re (/.f64 x.re x.im))
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(*.f64 (neg.f64 x.re) (-.f64 (/.f64 y.im (neg.f64 x.re)) (/.f64 y.re x.im)))
y.im
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(fma.f64 x.re (/.f64 y.re x.im) y.im)
(fma.f64 y.re (/.f64 x.re x.im) y.im)
(+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(fma.f64 y.re (/.f64 x.re x.im) y.im)
(+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im))
(fma.f64 x.re (/.f64 y.re x.im) y.im)
(fma.f64 y.re (/.f64 x.re x.im) y.im)
(/.f64 (*.f64 x.re y.re) x.im)
(*.f64 y.re (/.f64 x.re x.im))
(*.f64 y.re (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))
(*.f64 y.re (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))
(*.f64 y.re (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))
(/.f64 (*.f64 x.re y.re) x.im)
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(*.f64 (neg.f64 y.re) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re))))
(*.f64 y.re (neg.f64 (-.f64 (/.f64 x.re (neg.f64 x.im)) (/.f64 y.im y.re))))
(/.f64 (*.f64 x.re y.re) x.im)
(*.f64 y.re (/.f64 x.re x.im))
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) x.im)
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(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) x.im)
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(/.f64 (fma.f64 x.im y.im (*.f64 y.re x.re)) x.im)
y.im
(+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im))
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(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re)))) (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(pow.f64 (/.f64 y.re (*.f64 x.im y.im)) #s(literal -1 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(neg.f64 (*.f64 x.im (/.f64 y.im y.re)))
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x.im (/.f64 y.im y.re)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re)))
(*.f64 x.im (/.f64 y.im y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 x.im (/.f64 y.im y.re))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(*.f64 x.im (/.f64 y.im y.re))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(*.f64 x.im (/.f64 y.im y.re))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 x.im (/.f64 y.im y.re))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 x.im (/.f64 y.im y.re))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))
(*.f64 x.im (/.f64 y.im y.re))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 y.im y.re)))
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im y.im)))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y.re (*.f64 x.im y.im))))
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im (neg.f64 y.im))))
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re (*.f64 x.im y.im)) #s(literal 1 binary64)))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 x.im y.im)))
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y.re (*.f64 x.im y.im))))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im y.im) (neg.f64 y.re))
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(/.f64 (*.f64 x.im (neg.f64 y.im)) y.re)
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(/.f64 (*.f64 x.im (neg.f64 y.im)) (neg.f64 y.re))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (*.f64 x.im (neg.f64 y.im)) (neg.f64 (neg.f64 y.re)))
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(/.f64 (neg.f64 (*.f64 x.im (neg.f64 y.im))) (neg.f64 y.re))
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(/.f64 (neg.f64 (*.f64 x.im (neg.f64 y.im))) (neg.f64 (neg.f64 y.re)))
(*.f64 x.im (/.f64 y.im y.re))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(pow.f64 (/.f64 y.re (*.f64 x.im y.im)) #s(literal -1 binary64))
(*.f64 x.im (/.f64 y.im y.re))
(neg.f64 (*.f64 x.im (/.f64 y.im y.re)))
(*.f64 x.im (/.f64 y.im (neg.f64 y.re)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x.im (/.f64 y.im y.re)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re)))
(*.f64 x.im (/.f64 y.im y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(*.f64 x.im (/.f64 y.im y.re))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(*.f64 x.im (/.f64 y.im y.re))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(*.f64 x.im (/.f64 y.im y.re))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 x.im (/.f64 y.im y.re))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 x.im (/.f64 y.im y.re))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))
(*.f64 x.im (/.f64 y.im y.re))

eval387.0ms (3.5%)

Compiler

Compiled 27107 to 4250 computations (84.3% saved)

prune685.0ms (6.3%)

Pruning

41 alts after pruning (32 fresh and 9 done)

PrunedKeptTotal
New1292101302
Fresh72229
Picked145
Done055
Total1300411341
Accuracy
100.0%
Counts
1341 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
41.5%
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))) #s(literal 3 binary64))
24.0%
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
50.6%
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓53.3%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
58.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
59.9%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
60.1%
(/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓40.1%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓34.5%
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
34.5%
(/.f64 (*.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))) y.re)
✓45.0%
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
50.6%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
25.0%
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
✓53.0%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
42.7%
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
✓11.0%
(/.f64 (neg.f64 x.re) y.re)
10.9%
(/.f64 (neg.f64 x.im) y.re)
✓40.6%
(/.f64 x.re y.re)
31.5%
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
10.8%
(/.f64 x.im y.re)
✓47.6%
(/.f64 x.im y.im)
80.5%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) x.im)))
40.6%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
10.5%
(-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
31.2%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (neg.f64 x.im))
✓82.2%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
25.3%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
42.2%
(*.f64 (/.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) y.re) y.im)
62.0%
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
31.0%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
29.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
10.9%
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.im))
10.1%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (neg.f64 x.im))
24.0%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
10.8%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.im))
41.9%
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))
21.9%
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
11.0%
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
40.5%
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
17.7%
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (neg.f64 (hypot.f64 y.im y.re))))
Compiler

Compiled 1305 to 547 computations (58.1% saved)

regimes136.0ms (1.2%)

Counts
67 → 2
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.im))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
(/.f64 (*.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) y.re) y.im)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 y.im y.re))))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(/.f64 (*.f64 y.im (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.re)) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.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)) (neg.f64 x.im))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (neg.f64 (hypot.f64 y.im y.re))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 (neg.f64 y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.im (-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))))
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) y.re)
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))) #s(literal 3 binary64))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (neg.f64 x.im))
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) x.im)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) x.im)))
Calls

5 calls:

51.0ms
x.im
20.0ms
y.im
19.0ms
x.re
19.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
19.0ms
y.re
Results
AccuracySegmentsBranch
88.6%4x.re
91.0%3x.im
93.5%4y.re
93.2%4y.im
91.2%2(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes23.0ms (0.2%)

Counts
65 → 2
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.im))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
(/.f64 (*.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) y.re) y.im)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 y.im y.re))))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(/.f64 (*.f64 y.im (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.re)) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.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)) (neg.f64 x.im))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (neg.f64 (hypot.f64 y.im y.re))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 (neg.f64 y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.im (-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))))
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) y.re)
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))) #s(literal 3 binary64))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (neg.f64 x.im))
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) x.im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)) (/.f64 (hypot.f64 y.re y.im) x.im)))
Outputs
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
Calls

1 calls:

18.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
AccuracySegmentsBranch
90.7%2(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes78.0ms (0.7%)

Counts
61 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.im))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
(/.f64 (*.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) y.re) y.im)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 y.im y.re))))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(/.f64 (*.f64 y.im (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.re)) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.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)) (neg.f64 x.im))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (neg.f64 (hypot.f64 y.im y.re))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 (neg.f64 y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.im (-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))))
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) y.re)
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))) #s(literal 3 binary64))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (neg.f64 x.im))
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
Outputs
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

3 calls:

36.0ms
y.im
19.0ms
y.re
17.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
AccuracySegmentsBranch
93.2%4y.im
92.6%4y.re
89.2%2(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes104.0ms (1%)

Counts
59 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.im))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
(/.f64 (*.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) y.re) y.im)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 y.im y.re))))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(/.f64 (*.f64 y.im (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.re)) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.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)) (neg.f64 x.im))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (neg.f64 (hypot.f64 y.im y.re))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 (neg.f64 y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.im (-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))))
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) y.re)
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))) #s(literal 3 binary64))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re y.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (neg.f64 x.im))
Outputs
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

3 calls:

57.0ms
x.im
22.0ms
y.re
19.0ms
y.im
Results
AccuracySegmentsBranch
88.3%3x.im
90.7%3y.re
92.4%4y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes75.0ms (0.7%)

Counts
53 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.im))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
(/.f64 (*.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) y.re) y.im)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 y.im y.re))))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(/.f64 (*.f64 y.im (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.re)) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.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)) (neg.f64 x.im))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(*.f64 x.im (/.f64 (/.f64 y.im y.re) (neg.f64 (hypot.f64 y.im y.re))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 x.im (/.f64 (neg.f64 y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.im (-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))))
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) y.re)
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y.re)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

4 calls:

20.0ms
y.im
17.0ms
x.im
17.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
16.0ms
y.re
Results
AccuracySegmentsBranch
78.5%3x.im
87.4%5y.re
83.4%4(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
90.8%5y.im
Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes44.0ms (0.4%)

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

1 calls:

41.0ms
y.im
Results
AccuracySegmentsBranch
90.6%5y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.1%)

Counts
37 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.im))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
(/.f64 (*.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) y.re) y.im)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 y.im y.re))))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(/.f64 (*.f64 y.im (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.re)) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 x.im (neg.f64 (hypot.f64 y.re y.im)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.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)) (neg.f64 x.im))
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

1 calls:

11.0ms
y.im
Results
AccuracySegmentsBranch
90.6%5y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.2%)

Counts
30 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.re)
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.im))
(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re y.im)) y.re)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(-.f64 (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
(/.f64 (*.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.im y.re))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
(*.f64 (/.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) y.re) y.im)
(/.f64 (*.f64 x.im y.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 y.im y.re))))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(/.f64 (*.f64 y.im (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.re)) y.re)
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

2 calls:

11.0ms
y.im
9.0ms
x.re
Results
AccuracySegmentsBranch
74.6%8x.re
86.4%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes22.0ms (0.2%)

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

3 calls:

8.0ms
y.im
6.0ms
x.im
6.0ms
y.re
Results
AccuracySegmentsBranch
64.7%3x.im
78.4%3y.re
75.7%3y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes74.0ms (0.7%)

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

2 calls:

68.0ms
y.re
6.0ms
y.im
Results
AccuracySegmentsBranch
70.3%3y.im
68.4%3y.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Accuracy

Total -26.0b remaining (-77.4%)

Threshold costs -26b (-77.4%)

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

4 calls:

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

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.6706951693758735e+297
+inf
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.6706951693758735e+297
+inf
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch86.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.3197594360289364e+25
1.864913928174652e+29
18.0ms
6.00970436341519e-119
1.7487138530053656e-109
49.0ms
-2.967215352591918e-155
-6.819329311069323e-162
Results
68.0ms416×0valid
Compiler

Compiled 893 to 511 computations (42.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 14.0ms (67.1% of total)
ival-add: 4.0ms (19.2% of total)
ival-div: 3.0ms (14.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch71.0ms (0.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.3197594360289364e+25
1.864913928174652e+29
24.0ms
6.00970436341519e-119
1.7487138530053656e-109
27.0ms
-2.967215352591918e-155
-6.819329311069323e-162
Results
53.0ms416×0valid
Compiler

Compiled 910 to 545 computations (40.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 20.0ms (71.9% of total)
ival-add: 5.0ms (18% of total)
ival-div: 3.0ms (10.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch121.0ms (1.1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
55.0ms
1.3197594360289364e+25
1.864913928174652e+29
21.0ms
6.00970436341519e-119
1.7487138530053656e-109
19.0ms
-1.5573615887300263e-148
-5.928476214912005e-155
21.0ms
-4.268052601623388e+51
-2.257780167445389e+36
Results
54.0ms576×0valid
Compiler

Compiled 1252 to 755 computations (39.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 17.0ms (50.4% of total)
ival-add: 12.0ms (35.6% of total)
ival-div: 4.0ms (11.9% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

bsearch82.0ms (0.8%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.3197594360289364e+25
1.864913928174652e+29
18.0ms
6.00970436341519e-119
1.7487138530053656e-109
19.0ms
-1.5573615887300263e-148
-5.928476214912005e-155
21.0ms
-3.4109373843546562e+140
-4.690539290398296e+123
Results
58.0ms576×0valid
Compiler

Compiled 1232 to 755 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 17.0ms (52.5% of total)
ival-div: 9.0ms (27.8% of total)
ival-add: 5.0ms (15.4% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch121.0ms (1.1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.3197594360289364e+25
1.864913928174652e+29
16.0ms
6.00970436341519e-119
1.7487138530053656e-109
19.0ms
-1.5573615887300263e-148
-5.928476214912005e-155
60.0ms
-3.4109373843546562e+140
-4.690539290398296e+123
Results
97.0ms576×0valid
Compiler

Compiled 1250 to 773 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 61.0ms (85.6% of total)
ival-add: 5.0ms (7% of total)
ival-div: 4.0ms (5.6% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch93.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
3.55744827057523e-8
4.5017288874136417e-7
41.0ms
-6.43503483685198e-9
-7.153284046104528e-13
Results
44.0ms224×0valid
Compiler

Compiled 418 to 269 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 33.0ms (90.8% of total)
ival-add: 2.0ms (5.5% of total)
ival-div: 1.0ms (2.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
523306085554.95636
967128601246.4463
9.0ms
-1.931235798316368e+37
-6.231664923889438e+36
Results
12.0ms144×0valid
Compiler

Compiled 234 to 162 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (59.8% of total)
ival-div: 1.0ms (14.9% of total)
ival-add: 1.0ms (14.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch80.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
32.0ms
3.55744827057523e-8
4.5017288874136417e-7
46.0ms
-6.212544927216764e-45
-2.4304597538536094e-52
Results
70.0ms240×0valid
Compiler

Compiled 266 to 197 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (62% of total)
ival-div: 2.0ms (17.7% of total)
ival-add: 2.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×*-commutative
5×+-commutative
4×if-if-or-not
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01232116
11502116
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) x.im))))
(if (<=.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))))
(if (<=.f64 y.im #s(literal -634025687370019/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (if (<=.f64 y.im #s(literal 2426085982355713/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 179999999999999988098108751872 binary64)) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -8864321588796067/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (if (<=.f64 y.im #s(literal 5633000113290953/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 164999999999999992021964029952 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -480000000000000037271932344557911069382143901696 binary64)) (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (if (<=.f64 y.im #s(literal -4717453031026927/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1760312535403423/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 179999999999999988098108751872 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -3800000000000000124797937458978719100150647752166524442946791019783238626215394383067204999385364168199008118180425255198864264410003668992 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -1698789848819511/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 5500976673135697/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 179999999999999988098108751872 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -145000000000000001280670183853519349548044689881974726824226099513397868743086385280430292789738730709787466096621008698562576384 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -1087225503244487/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1242156022966125/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.im #s(literal 164999999999999992021964029952 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -8510837770086989/19342813113834066795298816 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 2833419889721787/9444732965739290427392 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.re #s(literal -6999999999999999559074698669743669248 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re)) (if (<=.f64 y.re #s(literal 550000000000 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.im #s(literal -1010998000018149/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 2833419889721787/37778931862957161709568 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(/.f64 x.im y.im)
Outputs
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(if (<=.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 x.im (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))))))
(if (<=.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))))
(if (<=.f64 y.im #s(literal -634025687370019/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (if (<=.f64 y.im #s(literal 2426085982355713/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 179999999999999988098108751872 binary64)) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -634025687370019/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im)) (hypot.f64 y.re y.im))) (if (<=.f64 y.im #s(literal 2426085982355713/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 179999999999999988098108751872 binary64)) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -8864321588796067/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 x.re y.re) x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (if (<=.f64 y.im #s(literal 5633000113290953/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 164999999999999992021964029952 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -8864321588796067/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (+.f64 y.im (/.f64 (*.f64 x.re y.re) x.im)) (hypot.f64 y.re y.im))) (if (<=.f64 y.im #s(literal 5633000113290953/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 164999999999999992021964029952 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -480000000000000037271932344557911069382143901696 binary64)) (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (if (<=.f64 y.im #s(literal -4717453031026927/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1760312535403423/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 179999999999999988098108751872 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -480000000000000037271932344557911069382143901696 binary64)) (*.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 y.im (hypot.f64 y.re y.im))) (if (<=.f64 y.im #s(literal -4717453031026927/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1760312535403423/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 179999999999999988098108751872 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -3800000000000000124797937458978719100150647752166524442946791019783238626215394383067204999385364168199008118180425255198864264410003668992 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -1698789848819511/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 5500976673135697/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472 binary64)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re) (if (<=.f64 y.im #s(literal 179999999999999988098108751872 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -145000000000000001280670183853519349548044689881974726824226099513397868743086385280430292789738730709787466096621008698562576384 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -1087225503244487/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1242156022966125/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.im #s(literal 164999999999999992021964029952 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -8510837770086989/19342813113834066795298816 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 2833419889721787/9444732965739290427392 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (or (<=.f64 y.im #s(literal -8510837770086989/19342813113834066795298816 binary64)) (not (<=.f64 y.im #s(literal 2833419889721787/9444732965739290427392 binary64)))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.re #s(literal -6999999999999999559074698669743669248 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re)) (if (<=.f64 y.re #s(literal 550000000000 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.im #s(literal -1010998000018149/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 2833419889721787/37778931862957161709568 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(if (or (<=.f64 y.im #s(literal -1010998000018149/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (not (<=.f64 y.im #s(literal 2833419889721787/37778931862957161709568 binary64)))) (/.f64 x.im y.im) (/.f64 x.re y.re))
(/.f64 x.im y.im)

soundness1.0s (9.4%)

Rules
819×log1p-expm1-u
819×expm1-log1p-u
606×fma-define
533×distribute-lft-neg-in
531×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036392
1624358
060613204
1150212488
2485712428
018153
1254143
23543143
0142340459
1362238473
032445
1525425
038502
1663472
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1165 to 310 computations (73.4% saved)

preprocess70.0ms (0.6%)

Compiler

Compiled 1062 to 250 computations (76.5% saved)

end0.0ms (0%)

Profiling

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