_divideComplex, real part

Time bar (total: 12.9s)

analyze40.0ms (0.3%)

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

Compiled 17 to 13 computations (23.5% saved)

sample1.7s (13.4%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 587.0ms
ival-mult: 337.0ms (57.4% of total)
ival-add: 172.0ms (29.3% of total)
ival-div: 58.0ms (9.9% of total)
ival-true: 12.0ms (2% of total)
ival-assert: 9.0ms (1.5% of total)
Bogosity

preprocess411.0ms (3.2%)

Algorithm
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
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)))

explain287.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
990-2(-7.302740282171418e-302 3.147378621389751e-305 2.598013902302954e-167 -2.0574437487509365e-6)(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
60-0-(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
00-0-(*.f64 y.re y.re)
00-0-(*.f64 x.re y.re)
00-0-(*.f64 y.im y.im)
00-0-x.re
00-0-y.re
00-0-y.im
00-0-(*.f64 x.im y.im)
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))o/o510
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))overflow60
(*.f64 x.im y.im)overflow32
(*.f64 x.re y.re)overflow34
(*.f64 y.re y.re)overflow59
(*.f64 y.im y.im)overflow62
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))overflow108
/.f64(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))n/o290
(*.f64 y.re y.re)overflow59
(*.f64 y.im y.im)overflow62
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))overflow108
/.f64(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))o/n90
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))overflow60
(*.f64 x.im y.im)overflow32
(*.f64 x.re y.re)overflow34
/.f64(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))n/u60
(*.f64 y.re y.re)underflow71
(*.f64 y.im y.im)underflow50
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))underflow15
+.f64(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))nan-rescue60
(*.f64 x.re y.re)overflow34
(*.f64 x.im y.im)overflow32
/.f64(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))u/n10
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))underflow2
(*.f64 x.im y.im)underflow21
(*.f64 x.re y.re)underflow31
/.f64(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))u/u10
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))underflow2
(*.f64 x.im y.im)underflow21
(*.f64 x.re y.re)underflow31
(*.f64 y.re y.re)underflow71
(*.f64 y.im y.im)underflow50
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))underflow15
Confusion
Predicted +Predicted -
+972
-0157
Precision
1.0
Recall
0.9797979797979798
Confusion?
Predicted +Predicted MaybePredicted -
+9702
-00157
Precision?
1.0
Recall?
0.9797979797979798
Freqs
test
numberfreq
0159
191
26
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
90.0ms512×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 17.0ms (61.9% of total)
ival-add: 6.0ms (21.9% of total)
ival-div: 3.0ms (10.9% of total)
ival-true: 1.0ms (3.6% of total)
ival-assert: 1.0ms (3.6% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
63.1%
(/.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)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 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)
Rules
fma-define
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018181
125181
229181
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(*.f64 x.re y.re)
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
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)

localize61.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.im y.im)
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
accuracy98.0%
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
accuracy63.4%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
45.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (64.8% of total)
ival-div: 2.0ms (16.2% of total)
ival-add: 2.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.2%)

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

48 calls:

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

rewrite447.0ms (3.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018153
1254143
23547143
Stop Event
node limit
Counts
7 → 210
Calls
Call 1
Inputs
(*.f64 x.re y.re)
(*.f64 x.im y.im)
(*.f64 y.re y.re)
(*.f64 y.im y.im)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 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 (*.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 (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y.re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 x.re y.re (*.f64 x.im y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))) (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))))
(*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re y.re (*.f64 x.im y.im)))
(*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im y.im) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im y.im) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im))) (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64))) (fma.f64 (*.f64 x.im y.im) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 x.re (*.f64 y.re (*.f64 x.im y.im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64))) (fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im y.im) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x.re y.re (neg.f64 (*.f64 x.im y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64))) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))
(pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y.re) x.re) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re))) (pow.f64 (exp.f64 x.im) y.im)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x.im) y.im) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im))) (pow.f64 (exp.f64 y.re) x.re)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.im))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.re)))))
(cbrt.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(log1p.f64 (expm1.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(exp.f64 (log.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 1 binary64)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 x.im y.im))
(fma.f64 (*.f64 x.re y.re) #s(literal 1 binary64) (*.f64 x.im y.im))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(fma.f64 y.im x.im (*.f64 x.re y.re))
(fma.f64 (*.f64 x.im y.im) #s(literal 1 binary64) (*.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re y.re) (*.f64 x.im y.im))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im y.im) (*.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) x.re) (*.f64 x.im y.im))
(fma.f64 (cbrt.f64 (*.f64 x.re y.re)) (pow.f64 (cbrt.f64 (*.f64 x.re y.re)) #s(literal 2 binary64)) (*.f64 x.im y.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re y.re)) (*.f64 x.im y.im))
(fma.f64 (cbrt.f64 (*.f64 x.im y.im)) (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (*.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im y.im)) (*.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) x.im) (*.f64 x.re y.re))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 (cbrt.f64 x.re) y.re) (*.f64 x.im y.im))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) y.im) (*.f64 x.re y.re))
(fma.f64 (sqrt.f64 (*.f64 x.re y.re)) (sqrt.f64 (*.f64 x.re y.re)) (*.f64 x.im y.im))
(fma.f64 (sqrt.f64 (*.f64 x.im y.im)) (sqrt.f64 (*.f64 x.im y.im)) (*.f64 x.re y.re))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) x.re) (*.f64 x.im y.im))
(fma.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) y.re) (*.f64 x.im y.im))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) y.im) (*.f64 x.re y.re))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) x.im) (*.f64 x.re y.re))
(fma.f64 (*.f64 x.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (*.f64 x.im y.im))
(fma.f64 (*.f64 x.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (*.f64 x.im y.im))
(fma.f64 (*.f64 y.re (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64)))) (cbrt.f64 x.re) (*.f64 x.im y.im))
(fma.f64 (*.f64 y.re (sqrt.f64 x.re)) (sqrt.f64 x.re) (*.f64 x.im y.im))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (*.f64 x.re y.re))
(fma.f64 (*.f64 x.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (*.f64 x.re y.re))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re y.re))
(fma.f64 (*.f64 y.im (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.re))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))
(*.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (exp.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.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)))

simplify276.0ms (2.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
060613204
1150412488
2484912428
Stop Event
node limit
Counts
354 → 336
Calls
Call 1
Inputs
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(/.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 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
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(/.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 #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))))
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(/.f64 x.re y.re)
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(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
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(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
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(+.f64 (/.f64 (*.f64 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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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
Outputs
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 x.re (+.f64 (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.re)))))
(*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (neg.f64 (*.f64 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 (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))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 (*.f64 y.re (neg.f64 x.re)) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)
(/.f64 (+.f64 x.re (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re)))) y.re)
(/.f64 (+.f64 x.re (-.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 y.im x.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 x.re (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 x.im (/.f64 y.im y.re))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(-.f64 (/.f64 (+.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64)))))) 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 y.im x.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 y.im x.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 (*.f64 x.im (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 y.im x.im)) y.re))) y.re))
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(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
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(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (*.f64 y.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (*.f64 y.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
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(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (*.f64 y.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 (*.f64 y.im (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64)))
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(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))

eval40.0ms (0.3%)

Compiler

Compiled 6646 to 1153 computations (82.7% saved)

prune68.0ms (0.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New31620336
Fresh000
Picked011
Done000
Total31621337
Accuracy
100.0%
Counts
337 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.2%
(fma.f64 y.im (-.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re y.re))
63.0%
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal -1 binary64))
33.7%
(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))
51.1%
(/.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 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
46.7%
(/.f64 (+.f64 (-.f64 x.im (*.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (/.f64 x.im y.im))) y.im)) y.im)
63.1%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
48.9%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
41.3%
(/.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)
51.0%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
55.8%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
57.6%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
52.7%
(/.f64 (*.f64 y.re (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
41.3%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
53.8%
(/.f64 (*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
37.0%
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
39.2%
(/.f64 x.re y.re)
43.4%
(/.f64 x.im y.im)
46.1%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
76.2%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
37.0%
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
Compiler

Compiled 691 to 427 computations (38.2% saved)

simplify252.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
cost-diff0
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
cost-diff6272
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
cost-diff0
(*.f64 y.im y.im)
cost-diff0
(*.f64 y.re y.re)
cost-diff0
(/.f64 y.re y.im)
cost-diff0
(*.f64 x.re (/.f64 y.re y.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-diff256
(*.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)))
Rules
1153×fma-define
725×associate-/l/
695×cube-prod
610×*-commutative
468×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036695
171655
2129631
3256631
4449631
5859631
61954631
72813631
83148631
93443631
103738631
114162631
124667631
135382631
145851631
156048631
166293631
176890631
187416631
Stop Event
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 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))))
y.im
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
x.im
(*.f64 x.re (/.f64 y.re y.im))
x.re
(/.f64 y.re y.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 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
y.im
(/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
x.im
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(hypot.f64 y.re y.im)
y.re
#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)) (pow.f64 (hypot.f64 y.re y.im) #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 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.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)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
y.im
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(fma.f64 y.re (/.f64 x.re y.im) x.im)
x.im
(*.f64 x.re (/.f64 y.re y.im))
(*.f64 y.re (/.f64 x.re y.im))
x.re
(/.f64 y.re y.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))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(*.f64 y.re y.re)
(*.f64 y.im y.im)
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
y.im
(/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
x.im
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 y.re y.re (*.f64 y.im y.im))
(hypot.f64 y.re y.im)
y.re
#s(literal 2 binary64)

localize262.0ms (2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 y.re y.im)
accuracy100.0%
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
accuracy89.2%
(/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
accuracy82.6%
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
accuracy100.0%
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
accuracy92.5%
(*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))))
accuracy92.5%
(*.f64 x.re (/.f64 y.re y.im))
accuracy63.4%
(/.f64 (*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.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)))
accuracy99.5%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
accuracy90.2%
(*.f64 x.im (/.f64 y.im y.re))
accuracy100.0%
(/.f64 x.im y.im)
accuracy100.0%
(*.f64 x.im y.im)
accuracy100.0%
(fma.f64 x.re y.re (*.f64 x.im 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)))
accuracy76.9%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Results
132.0ms256×0valid
Compiler

Compiled 169 to 30 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 21.0ms (42% of total)
ival-div: 14.0ms (28% of total)
ival-hypot: 5.0ms (10% of total)
ival-add: 3.0ms (6% of total)
ival-fma: 3.0ms (6% of total)
ival-pow: 3.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

series87.0ms (0.7%)

Counts
17 → 552
Calls
Call 1
Inputs
#<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 (hypot.f64 y.re y.im)>
#<alt (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 x.im (/.f64 y.im y.re))>
#<alt (/.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 x.re (/.f64 y.re y.im))>
#<alt (/.f64 y.re y.im)>
#<alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))>
#<alt (*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))>
#<alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))>
#<alt (fma.f64 x.re y.re (*.f64 x.im y.im))>
#<alt (/.f64 (*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))))>
Outputs
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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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 (*.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 x.re y.re)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.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.im y.im)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))>
#<alt (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))>
#<alt (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re)))>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))>
#<alt (*.f64 x.im y.im)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)))>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))>
Calls

156 calls:

TimeVariablePointExpression
6.0ms
x.im
@inf
(/ (* y.im (+ x.im (* x.re (/ y.re y.im)))) (+ (* y.re y.re) (* y.im y.im)))
5.0ms
y.re
@-inf
(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
5.0ms
x.im
@-inf
(+ (* x.re y.re) (* x.im y.im))
4.0ms
x.re
@inf
(/ (+ x.re (* x.im (/ y.im y.re))) y.re)
3.0ms
y.im
@inf
(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite198.0ms (1.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
036497
1617481
Stop Event
node limit
Counts
17 → 477
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))
(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 x.im y.im)
(*.f64 x.im (/.f64 y.im y.re))
(/.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 x.re (/.f64 y.re y.im))
(/.f64 y.re y.im)
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(/.f64 (*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))) (hypot.f64 y.re y.im)))
(/.f64 #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 y.im x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 y.im x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re y.re (*.f64 y.im x.im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))))
(/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.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 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im))) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 y.im x.im)))))
(/.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re y.re (*.f64 y.im x.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re y.re (*.f64 y.im x.im)))) (neg.f64 (hypot.f64 y.re y.im)))
(pow.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(log.f64 (exp.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
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(/.f64 (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)) (*.f64 (*.f64 y.im x.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))) (-.f64 (*.f64 y.im x.im) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))) (-.f64 (*.f64 y.im x.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)))
(pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))))
(cbrt.f64 (pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(log1p.f64 (expm1.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(exp.f64 (log.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im x.im) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im x.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(fma.f64 y.im x.im (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(fma.f64 y.im x.im (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(fma.f64 x.im y.im (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(fma.f64 x.im y.im (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(fma.f64 (sqrt.f64 (*.f64 y.im x.im)) (sqrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(fma.f64 (sqrt.f64 (*.f64 y.im x.im)) (sqrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))

simplify582.0ms (4.5%)

Algorithm
egg-herbie
Rules
772×fma-define
398×*-commutative
376×distribute-lft-in
238×distribute-rgt-neg-in
220×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0160645680
1427343727
Stop Event
node limit
Counts
1029 → 1028
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 x.re y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 x.im y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) y.im)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 #s(literal 1 binary64) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 #s(literal -1 binary64) y.re)
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y.im
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y.re
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x.im
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x.re
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(neg.f64 (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 y.im (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 y.im (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) (*.f64 (fma.f64 x.re (/.f64 y.re 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 y.im (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y.im (*.f64 (fma.f64 x.re (/.f64 y.re 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 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y.im (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 y.im (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 y.im x.im) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(+.f64 (*.f64 y.im x.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(+.f64 (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)) (*.f64 y.im x.im))
(+.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) (*.f64 y.im x.im))
(+.f64 (*.f64 (*.f64 y.im x.im) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y.im x.im) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im))) (*.f64 (*.f64 y.im x.im) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)) (*.f64 (*.f64 y.im x.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))) (-.f64 (*.f64 y.im x.im) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))) (-.f64 (*.f64 y.im x.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)))
(pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))))
(cbrt.f64 (pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(log1p.f64 (expm1.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(exp.f64 (log.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im x.im) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im x.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(fma.f64 y.im x.im (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(fma.f64 y.im x.im (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(fma.f64 x.im y.im (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(fma.f64 x.im y.im (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(fma.f64 (sqrt.f64 (*.f64 y.im x.im)) (sqrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(fma.f64 (sqrt.f64 (*.f64 y.im x.im)) (sqrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
Outputs
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 (*.f64 x.re (neg.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)
(/.f64 (+.f64 x.re (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im y.re)))) y.re)
(/.f64 (+.f64 x.re (fma.f64 x.im (/.f64 y.im y.re) (*.f64 (neg.f64 x.re) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 (+.f64 x.re (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (*.f64 x.im (/.f64 y.im y.re))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (-.f64 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) y.re)) (neg.f64 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 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (/.f64 (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) y.re)) y.re)) (neg.f64 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 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(fma.f64 y.im (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.im x.re) (pow.f64 y.re #s(literal 3 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(fma.f64 y.im (-.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.re) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(fma.f64 y.im (fma.f64 y.im (-.f64 (/.f64 (*.f64 y.im (neg.f64 x.im)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(fma.f64 y.im (fma.f64 y.im (-.f64 (*.f64 x.im (neg.f64 (/.f64 y.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)
(/.f64 (+.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.re y.im)))) y.im)
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 (+.f64 x.im (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64))) (*.f64 x.re (/.f64 y.re y.im))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 (+.f64 x.im (-.f64 (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 x.im y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(/.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (*.f64 x.re y.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)) (neg.f64 y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (*.f64 #s(literal -1 binary64) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)) (*.f64 (neg.f64 x.im) (pow.f64 y.re #s(literal 2 binary64)))) y.im) (*.f64 x.re y.re)) y.im))) y.im))
(/.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (*.f64 x.re y.re) (/.f64 (fma.f64 x.im (pow.f64 y.re #s(literal 2 binary64)) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im))) y.im)) y.im)) (neg.f64 y.im))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (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))))
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y.im
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(+.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) (*.f64 y.im x.im))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(+.f64 (*.f64 (*.f64 y.im x.im) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)) #s(literal 1 binary64)))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(+.f64 (*.f64 (*.f64 y.im x.im) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) #s(literal 1 binary64)))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im))) (*.f64 (*.f64 y.im x.im) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (-.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (*.f64 x.im y.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64))) (fma.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (-.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (*.f64 x.im y.im)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)) (*.f64 (*.f64 y.im x.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (-.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (*.f64 x.im y.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64))) (fma.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (-.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (*.f64 x.im y.im)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))) (-.f64 (*.f64 y.im x.im) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (-.f64 (*.f64 x.im y.im) (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)))) (-.f64 (*.f64 x.im y.im) (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))) (-.f64 (*.f64 y.im x.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (-.f64 (*.f64 x.im y.im) (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)))) (-.f64 (*.f64 x.im y.im) (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im)))))
(pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 1 binary64))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(pow.f64 (cbrt.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 3 binary64))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(pow.f64 (pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(pow.f64 (sqrt.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 2 binary64))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(sqrt.f64 (pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) y.im))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(cbrt.f64 (pow.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64)))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64))))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(expm1.f64 (log1p.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(log1p.f64 (expm1.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(exp.f64 (log.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 1 binary64)))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im x.im) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im x.im) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 y.im x.im (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 y.im x.im (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 x.im y.im (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 x.im y.im (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 (sqrt.f64 (*.f64 y.im x.im)) (sqrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 y.im x.re) (/.f64 y.re y.im)))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 (sqrt.f64 (*.f64 y.im x.im)) (sqrt.f64 (*.f64 y.im x.im)) (*.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))

eval275.0ms (2.1%)

Compiler

Compiled 27511 to 4316 computations (84.3% saved)

prune382.0ms (3%)

Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1279171296
Fresh8715
Picked145
Done011
Total1288291317
Accuracy
100.0%
Counts
1317 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.1%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
48.9%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
51.0%
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
41.3%
(/.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)
51.0%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
55.8%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
57.6%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
52.7%
(/.f64 (*.f64 y.re (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
41.3%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
53.8%
(/.f64 (*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
37.0%
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
39.2%
(/.f64 x.re y.re)
43.4%
(/.f64 x.im y.im)
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 x.im (/.f64 y.im y.re) x.re)))
43.1%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
56.5%
(*.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.re y.im) x.im))
65.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im)))
46.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.re y.re) (hypot.f64 y.re y.im)))
43.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im y.im) (hypot.f64 y.re y.im)))
28.2%
(*.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))))
34.0%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))
32.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
27.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
37.4%
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))
43.7%
(*.f64 y.im (/.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
37.0%
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
17.5%
(*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))
17.6%
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
43.4%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
Compiler

Compiled 783 to 493 computations (37% saved)

simplify85.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (fma.f64 x.re (/.f64 y.re y.im) 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 (fma.f64 x.re (/.f64 y.re y.im) 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)) x.re)
cost-diff-6272
(+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re))
cost-diff-6272
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
cost-diff0
(*.f64 y.im x.im)
cost-diff0
(/.f64 (*.f64 y.im x.im) y.re)
cost-diff0
(/.f64 x.re y.re)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
cost-diff128
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
cost-diff128
(/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))
cost-diff6656
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im)))
Rules
742×fmm-def
505×fma-define
458×associate-/r/
385×div-sub
294×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029648
163622
2136622
3455618
41065591
52383591
63722591
75359591
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.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 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
x.re
(/.f64 y.re y.im)
x.im
(/.f64 x.re y.re)
x.re
y.re
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re))
x.re
(/.f64 (*.f64 y.im x.im) y.re)
(*.f64 y.im x.im)
y.im
x.im
y.re
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) 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
x.re
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) 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 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
x.re
(/.f64 y.re y.im)
x.im
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (hypot.f64 y.re y.im))))
(/.f64 (*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (fma.f64 y.re y.re (*.f64 y.im y.im))))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.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 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))
(*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (hypot.f64 y.re y.im)))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(fma.f64 y.re (/.f64 x.re y.im) x.im)
x.re
(/.f64 y.re y.im)
x.im
(/.f64 x.re y.re)
x.re
y.re
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 (+.f64 x.re (*.f64 y.im (/.f64 x.im y.re))) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re))
(+.f64 x.re (*.f64 y.im (/.f64 x.im y.re)))
(fma.f64 y.im (/.f64 x.im y.re) x.re)
(fma.f64 x.im (/.f64 y.im y.re) x.re)
x.re
(/.f64 (*.f64 y.im x.im) y.re)
(*.f64 y.im (/.f64 x.im y.re))
(*.f64 x.im (/.f64 y.im y.re))
(*.f64 y.im x.im)
y.im
x.im
y.re
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
(/.f64 x.re (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
x.re
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (neg.f64 (fma.f64 y.re (/.f64 x.re y.im) x.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.re (/.f64 x.re y.im) 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 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(neg.f64 (fma.f64 y.re (/.f64 x.re y.im) x.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(fma.f64 y.re (/.f64 x.re y.im) x.im)
x.re
(/.f64 y.re y.im)
x.im

localize309.0ms (2.4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
accuracy100.0%
(neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))
accuracy95.5%
(fma.f64 x.re (/.f64 y.re y.im) x.im)
accuracy92.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
accuracy100.0%
(hypot.f64 y.re 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)) x.re)
accuracy100.0%
(+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re))
accuracy100.0%
(*.f64 y.im x.im)
accuracy99.5%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
accuracy92.4%
(/.f64 (*.f64 y.im x.im) y.re)
accuracy100.0%
(/.f64 x.re y.re)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im)))
accuracy95.5%
(fma.f64 x.re (/.f64 y.re y.im) x.im)
accuracy92.5%
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
accuracy76.9%
(/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))
Results
241.0ms256×0valid
Compiler

Compiled 156 to 22 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 11.0ms (33% of total)
ival-mult: 11.0ms (33% of total)
ival-hypot: 5.0ms (15% of total)
ival-fma: 3.0ms (9% of total)
ival-add: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)

series44.0ms (0.3%)

Counts
12 → 480
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im)))>
#<alt (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))>
#<alt (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (*.f64 y.im x.im) y.re)>
#<alt (*.f64 y.im x.im)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)>
#<alt (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))>
#<alt (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))>
#<alt (fma.f64 x.re (/.f64 y.re y.im) x.im)>
Outputs
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im (pow.f64 y.re #s(literal 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))) y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))))>
#<alt (+.f64 x.re (*.f64 y.im (+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))))>
#<alt x.im>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (+.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im)))>
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#<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 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)) x.im)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)) x.im)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)) x.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) #s(literal 1 binary64)))>
#<alt (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) #s(literal 1 binary64)))>
#<alt (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))))>
#<alt x.im>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (/.f64 (*.f64 x.re y.re) y.im)>
#<alt (*.f64 x.re (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)))>
#<alt (*.f64 x.re (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)))>
#<alt (*.f64 x.re (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)))>
#<alt (/.f64 (*.f64 x.re y.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
#<alt x.im>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (/.f64 (*.f64 x.re y.re) y.im)>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (/.f64 (*.f64 x.re y.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (/.f64 (*.f64 x.re y.re) y.im)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)>
#<alt x.im>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt x.im>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (/.f64 (*.f64 x.re y.re) y.im)>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt x.im>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))>
#<alt x.im>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) #s(literal 1 binary64))))>
Calls

126 calls:

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

rewrite267.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
947×log1p-expm1-u
203×associate-*r*
200×expm1-log1p-u
198×add-exp-log
198×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029414
1447382
26711382
Stop Event
node limit
Counts
12 → 415
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))
(*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
(/.f64 x.re y.re)
(/.f64 (*.f64 y.im x.im) y.re)
(*.f64 y.im x.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re))
(*.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 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 y.im (fma.f64 x.re (/.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 y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re 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 y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 y.re y.im) (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 y.re y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (*.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal -1 binary64)) (*.f64 (hypot.f64 y.re y.im) (neg.f64 (hypot.f64 y.re y.im))))
(/.f64 (/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im))) (sqrt.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal -1 binary64)) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im)))) (neg.f64 (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)) (hypot.f64 y.re y.im))
(/.f64 (/.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 y.re y.im)))
(pow.f64 (*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re 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 y.im (/.f64 (fma.f64 x.re (/.f64 y.re 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 y.im (/.f64 (fma.f64 x.re (/.f64 y.re 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 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re 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 y.im (/.f64 (fma.f64 x.re (/.f64 y.re 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 y.im (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re 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 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re 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 y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))))
(*.f64 y.im (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im)))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (*.f64 y.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im)))) (sqrt.f64 (*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 y.im (hypot.f64 y.re y.im)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(+.f64 x.im (/.f64 x.re (/.f64 y.im y.re)))
(+.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im)
(+.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(+.f64 (neg.f64 (/.f64 x.re (/.f64 y.im y.re))) (neg.f64 x.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (/.f64 y.im y.re))) (*.f64 #s(literal -1 binary64) x.im))
(+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal -1 binary64)) (*.f64 x.im #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x.re (/.f64 y.im y.re))) x.im)
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) (/.f64 x.re (/.f64 y.im y.re))) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im)))))
(/.f64 (-.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) (/.f64 x.re (/.f64 y.im y.re))) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(+.f64 x.im (/.f64 x.re (/.f64 y.im y.re)))
(+.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im)
(+.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(+.f64 (neg.f64 (/.f64 x.re (/.f64 y.im y.re))) (neg.f64 x.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (/.f64 y.im y.re))) (*.f64 #s(literal -1 binary64) x.im))
(+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal -1 binary64)) (*.f64 x.im #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x.re (/.f64 y.im y.re))) x.im)
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) (/.f64 x.re (/.f64 y.im y.re))) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im)))))
(/.f64 (-.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) (/.f64 x.re (/.f64 y.im y.re))) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))
(neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 1 binary64)))

simplify556.0ms (4.3%)

Algorithm
egg-herbie
Rules
814×fma-define
504×times-frac
401×distribute-rgt-in
400×distribute-lft-in
365×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129840107
1359838049
Stop Event
node limit
Counts
895 → 860
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 x.re y.re)
(+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 x.im y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (*.f64 x.re y.re)) y.im))) y.im))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 x.im (pow.f64 y.re #s(literal 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))) y.im))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
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(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(+.f64 x.im (/.f64 x.re (/.f64 y.im y.re)))
(+.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im)
(+.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(+.f64 (neg.f64 (/.f64 x.re (/.f64 y.im y.re))) (neg.f64 x.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (/.f64 y.im y.re))) (*.f64 #s(literal -1 binary64) x.im))
(+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal -1 binary64)) (*.f64 x.im #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x.re (/.f64 y.im y.re))) x.im)
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) (/.f64 x.re (/.f64 y.im y.re))) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im)))))
(/.f64 (-.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) (/.f64 x.re (/.f64 y.im y.re))) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(+.f64 x.im (/.f64 x.re (/.f64 y.im y.re)))
(+.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im)
(+.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(+.f64 (neg.f64 (/.f64 x.re (/.f64 y.im y.re))) (neg.f64 x.im))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (/.f64 y.im y.re))) (*.f64 #s(literal -1 binary64) x.im))
(+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal -1 binary64)) (*.f64 x.im #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal 1 binary64)) x.im)
(-.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x.re (/.f64 y.im y.re))) x.im)
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) (/.f64 x.re (/.f64 y.im y.re))) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im)))))
(/.f64 (-.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) (/.f64 x.re (/.f64 y.im y.re))) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))
(neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 1 binary64)))
Outputs
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (neg.f64 (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (/.f64 (*.f64 x.re (neg.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 y.im (/.f64 x.im y.re) x.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 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 (-.f64 (+.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 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 x.re y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (fma.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 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) y.re)) (neg.f64 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 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (/.f64 (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) y.re)) y.re)) (neg.f64 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 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(fma.f64 y.im (fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(fma.f64 y.im (-.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))
(fma.f64 y.im (fma.f64 y.im (-.f64 (/.f64 (*.f64 y.im (neg.f64 x.im)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(fma.f64 y.im (fma.f64 y.im (-.f64 (*.f64 x.im (neg.f64 (/.f64 y.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)
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(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) (/.f64 x.re (/.f64 y.im y.re))) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.re y.im) y.re) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x.re y.im) y.re) (*.f64 (/.f64 x.re y.im) y.re) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 (*.f64 x.re x.im) (/.f64 y.im y.re)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x.re y.im) y.re) #s(literal 3 binary64))) (-.f64 (fma.f64 (*.f64 (/.f64 x.re y.im) y.re) (*.f64 (/.f64 x.re y.im) y.re) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 (/.f64 x.re y.im) y.re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 x.re (/.f64 y.im y.re)) (/.f64 x.re (/.f64 y.im y.re))) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x.re y.im) y.re) (*.f64 (/.f64 x.re y.im) y.re)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x.re y.im) y.re) x.im))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x.re y.im) (/.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x.re y.im) y.re) x.im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)

eval764.0ms (5.9%)

Compiler

Compiled 32625 to 3912 computations (88% saved)

prune524.0ms (4.1%)

Pruning

35 alts after pruning (27 fresh and 8 done)

PrunedKeptTotal
New1461141475
Fresh61319
Picked235
Done055
Total1469351504
Accuracy
100.0%
Counts
1504 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.1%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
48.9%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
51.0%
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
51.0%
(/.f64 (+.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)
51.0%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
55.8%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
57.6%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
52.7%
(/.f64 (*.f64 y.re (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
41.3%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
53.8%
(/.f64 (*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
37.0%
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
7.0%
(/.f64 (neg.f64 x.re) y.im)
11.4%
(/.f64 (neg.f64 x.im) y.im)
27.1%
(/.f64 x.re (hypot.f64 y.re y.im))
8.2%
(/.f64 x.re (neg.f64 y.re))
39.2%
(/.f64 x.re y.re)
7.4%
(/.f64 x.re y.im)
43.4%
(/.f64 x.im y.im)
50.1%
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re)))
43.1%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
5.9%
(-.f64 (/.f64 (neg.f64 x.im) y.re) (/.f64 x.re y.im))
6.7%
(+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))
36.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (hypot.f64 y.re y.im)))
46.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.re y.re) (hypot.f64 y.re y.im)))
43.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im y.im) (hypot.f64 y.re y.im)))
35.2%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))
28.2%
(*.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))))
27.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
8.2%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.re)
57.4%
(*.f64 (/.f64 #s(literal -1 binary64) y.im) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
37.0%
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
17.5%
(*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))
44.5%
(*.f64 x.re (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
17.6%
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
43.4%
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
Compiler

Compiled 812 to 528 computations (35% saved)

simplify45.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x.im y.re)
cost-diff0
(fma.f64 y.im (/.f64 x.im y.re) x.re)
cost-diff0
(/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.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 y.im x.im)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
cost-diff0
(/.f64 x.re y.im)
cost-diff-6272
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
cost-diff-6272
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
cost-diff0
(/.f64 y.re y.im)
cost-diff0
(*.f64 x.re (/.f64 y.re y.im))
Rules
83×fma-define
72×associate-*r*
71×associate-*l*
64×times-frac
51×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029442
150434
273422
3118422
4198422
5293422
6399422
7479422
8498422
9544422
10611422
11621422
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
x.im
(*.f64 x.re (/.f64 y.re y.im))
x.re
(/.f64 y.re y.im)
y.re
y.im
(/.f64 x.re y.im)
x.re
y.im
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
#s(literal 1 binary64)
(/.f64 y.im x.im)
y.im
x.im
(/.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 #s(literal 1 binary64) (/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re)))
#s(literal 1 binary64)
(/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re))
y.re
(fma.f64 y.im (/.f64 x.im y.re) x.re)
y.im
(/.f64 x.im y.re)
x.im
x.re
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
x.im
(*.f64 x.re (/.f64 y.re y.im))
(*.f64 y.re (/.f64 x.re y.im))
x.re
(/.f64 y.re y.im)
y.re
y.im
(/.f64 x.re y.im)
x.re
y.im
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 x.im y.im)
#s(literal 1 binary64)
(/.f64 y.im x.im)
y.im
x.im
(/.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 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 #s(literal 1 binary64) (/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.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 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
#s(literal 1 binary64)
(/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re))
(/.f64 y.re (fma.f64 x.im (/.f64 y.im y.re) x.re))
y.re
(fma.f64 y.im (/.f64 x.im y.re) x.re)
(fma.f64 x.im (/.f64 y.im y.re) x.re)
y.im
(/.f64 x.im y.re)
x.im
x.re

localize284.0ms (2.2%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x.im y.re)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re)))
accuracy99.5%
(/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re))
accuracy95.1%
(fma.f64 y.im (/.f64 x.im y.re) x.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))
accuracy72.1%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
accuracy100.0%
(/.f64 y.im x.im)
accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
accuracy100.0%
(/.f64 x.re y.im)
accuracy100.0%
(/.f64 y.re y.im)
accuracy100.0%
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
accuracy99.2%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
accuracy92.5%
(*.f64 x.re (/.f64 y.re y.im))
Results
186.0ms256×0valid
Compiler

Compiled 108 to 23 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 16.0ms (50.8% of total)
ival-mult: 9.0ms (28.6% of total)
ival-add: 3.0ms (9.5% of total)
ival-fma: 3.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series117.0ms (0.9%)

Counts
11 → 324
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)>
#<alt (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))>
#<alt (/.f64 y.im x.im)>
#<alt (*.f64 y.re x.re)>
#<alt (/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re)))>
#<alt (/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re))>
#<alt (fma.f64 y.im (/.f64 x.im y.re) x.re)>
#<alt (/.f64 x.im y.re)>
Outputs
#<alt (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
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#<alt (/.f64 (-.f64 (+.f64 y.re (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (/.f64 (*.f64 x.im y.im) x.re)) x.re)>
#<alt (/.f64 (-.f64 (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re))) (/.f64 (*.f64 x.im y.im) x.re))) x.re)>
#<alt (/.f64 y.re x.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.re) (/.f64 (*.f64 x.im y.im) x.re)) x.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re y.re)) (*.f64 x.im y.im)) x.re))) x.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y.re) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) y.re)) x.re)) (*.f64 x.im y.im)) x.re))) x.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 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 (/.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))))>
Calls

99 calls:

TimeVariablePointExpression
80.0ms
y.im
@inf
(+ (* y.im (/ x.im y.re)) x.re)
2.0ms
x.re
@inf
(* y.re x.re)
2.0ms
y.re
@-inf
(/ (* y.re x.re) (+ (* y.re y.re) (* y.im y.im)))
1.0ms
y.im
@inf
(/ y.re (+ (* y.im (/ x.im y.re)) x.re))
1.0ms
x.im
@inf
(/ y.re (+ (* y.im (/ x.im y.re)) x.re))

rewrite300.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
704×log1p-expm1-u
220×expm1-log1p-u
216×add-exp-log
216×add-log-exp
215×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029289
1483264
27216264
Stop Event
node limit
Counts
11 → 397
Calls
Call 1
Inputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
(/.f64 x.re y.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 y.im x.im)
(*.f64 y.re x.re)
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re)))
(/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re))
(fma.f64 y.im (/.f64 x.im y.re) x.re)
(/.f64 x.im y.re)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) y.im))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) y.im))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (cbrt.f64 y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.im)) (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (sqrt.f64 y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (sqrt.f64 y.im)) (/.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (sqrt.f64 y.im)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) y.im))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (cbrt.f64 y.im)))
(pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (neg.f64 y.im)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) y.im))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.im (*.f64 y.re (/.f64 x.re y.im)))) (/.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 2 binary64)) (-.f64 x.im (*.f64 y.re (/.f64 x.re y.im)))))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (*.f64 (*.f64 y.re (/.f64 x.re y.im)) (-.f64 (*.f64 y.re (/.f64 x.re y.im)) x.im)))))
(*.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x.im (*.f64 y.re (/.f64 x.re y.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 (*.f64 y.re (/.f64 x.re y.im)) (-.f64 (*.f64 y.re (/.f64 x.re y.im)) x.im))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 (*.f64 y.re (/.f64 x.re y.im)) (-.f64 (*.f64 y.re (/.f64 x.re y.im)) x.im))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im (*.f64 y.re (/.f64 x.re y.im))))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 2 binary64))) (-.f64 x.im (*.f64 y.re (/.f64 x.re y.im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 (*.f64 y.re (/.f64 x.re y.im)) (-.f64 (*.f64 y.re (/.f64 x.re y.im)) x.im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x.im (*.f64 y.re (/.f64 x.re y.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re (/.f64 x.re y.im)) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (*.f64 y.re (/.f64 x.re y.im)) x.im))
(pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(fma.f64 (/.f64 y.re y.im) x.re x.im)
(fma.f64 #s(literal 1 binary64) x.im (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 #s(literal 1 binary64) (*.f64 y.re (/.f64 x.re y.im)) x.im)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (/.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re (/.f64 x.re y.im))) x.im)
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (*.f64 y.re (/.f64 x.re y.im)))
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(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 x.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) y.re))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 x.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.re)))
(pow.f64 (/.f64 x.im y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im (neg.f64 y.re)))
(neg.f64 (/.f64 (neg.f64 x.im) y.re))
(sqrt.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im y.re))))
(cbrt.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 x.im y.re)))
(exp.f64 (log.f64 (/.f64 x.im y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im y.re)) #s(literal 1 binary64)))

simplify299.0ms (2.3%)

Algorithm
egg-herbie
Rules
601×associate-*r*
517×times-frac
358×fma-define
331×*-commutative
212×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129828100
1340527226
Stop Event
node limit
Counts
721 → 699
Calls
Call 1
Inputs
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(+.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 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
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(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
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(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
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(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
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(/.f64 (*.f64 x.re y.re) y.im)
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
x.im
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) #s(literal 1 binary64))))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(/.f64 (*.f64 x.re y.re) y.im)
(*.f64 x.re (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)))
(*.f64 x.re (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)))
(*.f64 x.re (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)))
(/.f64 (*.f64 x.re y.re) y.im)
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
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(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
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(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
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(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))
(/.f64 (*.f64 x.re y.re) y.im)
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
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(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(/.f64 x.im y.im)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(*.f64 x.re y.re)
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
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(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (*.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))))) y.re)
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(/.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 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 (*.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 (*.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 (*.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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(log1p.f64 (expm1.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re)))
(exp.f64 (log.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im y.re))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 #s(literal 1 binary64) (/.f64 x.im y.re))
(*.f64 (/.f64 x.im y.re) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x.im y.re)) (pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im y.re)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x.im) y.re))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (sqrt.f64 (/.f64 x.im y.re)) (sqrt.f64 (/.f64 x.im y.re)))
(*.f64 (sqrt.f64 x.im) (/.f64 (sqrt.f64 x.im) y.re))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 x.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) y.re))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 x.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.re)))
(pow.f64 (/.f64 x.im y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im (neg.f64 y.re)))
(neg.f64 (/.f64 (neg.f64 x.im) y.re))
(sqrt.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im y.re))))
(cbrt.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 x.im y.re)))
(exp.f64 (log.f64 (/.f64 x.im y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im y.re)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(/.f64 x.im y.im)
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (*.f64 (/.f64 x.re x.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 x.re (/.f64 y.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (*.f64 (/.f64 x.re x.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 x.re (/.f64 y.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (*.f64 (/.f64 x.re x.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 x.re (/.f64 y.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) (/.f64 #s(literal 1 binary64) y.im)))
(/.f64 x.im y.im)
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))
(*.f64 (neg.f64 x.im) (-.f64 (neg.f64 (*.f64 (/.f64 x.re x.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (neg.f64 (fma.f64 x.re (/.f64 y.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) (/.f64 #s(literal 1 binary64) y.im))) (neg.f64 x.im))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))
(*.f64 (neg.f64 x.im) (-.f64 (neg.f64 (*.f64 (/.f64 x.re x.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (neg.f64 (fma.f64 x.re (/.f64 y.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) (/.f64 #s(literal 1 binary64) y.im))) (neg.f64 x.im))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))
(*.f64 (neg.f64 x.im) (-.f64 (neg.f64 (*.f64 (/.f64 x.re x.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))
(*.f64 (neg.f64 (fma.f64 x.re (/.f64 y.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) (/.f64 #s(literal 1 binary64) y.im))) (neg.f64 x.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 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 (/.f64 x.im x.re) y.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 (/.f64 x.im x.re) y.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 (/.f64 x.im x.re) y.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.im))) (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 (/.f64 x.im x.re) y.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.im))) (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 (/.f64 x.im x.re) y.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.im))) (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 (/.f64 x.im x.re) y.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 x.im y.im)
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.re y.im)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.re y.im)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.re y.im)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))))
(*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.re y.im)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))))
(*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.re y.im)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 y.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))))
(*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.re y.im)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 x.im 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 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))) y.im))
(/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)
(/.f64 (*.f64 x.re y.re) y.im)
(*.f64 x.re (/.f64 y.re y.im))
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 y.re y.im))))
(*.f64 x.im (fma.f64 x.re (/.f64 y.re (*.f64 y.im x.im)) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 y.re y.im))))
(*.f64 x.im (fma.f64 x.re (/.f64 y.re (*.f64 y.im x.im)) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 y.re y.im))))
(*.f64 x.im (fma.f64 x.re (/.f64 y.re (*.f64 y.im x.im)) #s(literal 1 binary64)))
x.im
(*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) #s(literal 1 binary64))))
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(exp.f64 (log.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re)))
(fma.f64 y.im (/.f64 x.im y.re) x.re)
(exp.f64 (*.f64 (log.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re)) #s(literal 1 binary64)))
(fma.f64 y.im (/.f64 x.im y.re) x.re)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im y.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x.im y.re)))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 x.im y.re)
(*.f64 #s(literal 1 binary64) (/.f64 x.im y.re))
(/.f64 x.im y.re)
(*.f64 (/.f64 x.im y.re) #s(literal 1 binary64))
(/.f64 x.im y.re)
(*.f64 (cbrt.f64 (/.f64 x.im y.re)) (pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64)))
(/.f64 x.im y.re)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im y.re)))
(/.f64 x.im y.re)
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x.im) y.re))
(/.f64 x.im y.re)
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) (/.f64 #s(literal 1 binary64) y.re)))
(/.f64 x.im y.re)
(*.f64 (sqrt.f64 (/.f64 x.im y.re)) (sqrt.f64 (/.f64 x.im y.re)))
(/.f64 x.im y.re)
(*.f64 (sqrt.f64 x.im) (/.f64 (sqrt.f64 x.im) y.re))
(/.f64 x.im y.re)
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) y.re)))
(/.f64 x.im y.re)
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(/.f64 x.im y.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
(/.f64 x.im y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.re)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x.im (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(/.f64 (/.f64 x.im (cbrt.f64 y.re)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 x.im (sqrt.f64 y.re)))
(/.f64 (/.f64 x.im (sqrt.f64 y.re)) (sqrt.f64 y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) y.re))
(/.f64 x.im y.re)
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) y.re))
(/.f64 x.im y.re)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im y.re)))
(*.f64 (cbrt.f64 (/.f64 x.im y.re)) (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 x.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.re)))
(/.f64 (*.f64 (sqrt.f64 x.im) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.re))) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)))
(pow.f64 (/.f64 x.im y.re) #s(literal 1 binary64))
(/.f64 x.im y.re)
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(/.f64 x.im y.re)
(pow.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x.im y.re)
(pow.f64 (sqrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64))
(/.f64 x.im y.re)
(pow.f64 (/.f64 y.re x.im) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(neg.f64 (/.f64 x.im (neg.f64 y.re)))
(/.f64 x.im y.re)
(neg.f64 (/.f64 (neg.f64 x.im) y.re))
(/.f64 x.im y.re)
(sqrt.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x.im y.re))
(log.f64 (exp.f64 (/.f64 x.im y.re)))
(/.f64 x.im y.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im y.re))))
(/.f64 x.im y.re)
(cbrt.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 3 binary64)))
(/.f64 x.im y.re)
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(/.f64 x.im y.re)
(expm1.f64 (log1p.f64 (/.f64 x.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 x.im y.re)))
(/.f64 x.im y.re)
(exp.f64 (log.f64 (/.f64 x.im y.re)))
(/.f64 x.im y.re)
(exp.f64 (*.f64 (log.f64 (/.f64 x.im y.re)) #s(literal 1 binary64)))
(/.f64 x.im y.re)

eval741.0ms (5.8%)

Compiler

Compiled 14099 to 2968 computations (78.9% saved)

prune359.0ms (2.8%)

Pruning

35 alts after pruning (26 fresh and 9 done)

PrunedKeptTotal
New83111842
Fresh71522
Picked235
Done268
Total84235877
Accuracy
100.0%
Counts
877 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
51.0%
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
51.0%
(/.f64 (+.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)
51.0%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
57.5%
(/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im)
57.2%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im y.re)))) y.im)
52.7%
(/.f64 (*.f64 y.re (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
41.3%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
53.8%
(/.f64 (*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
37.0%
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
24.5%
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
7.0%
(/.f64 (neg.f64 x.re) y.im)
11.4%
(/.f64 (neg.f64 x.im) y.im)
27.1%
(/.f64 x.re (hypot.f64 y.re y.im))
8.2%
(/.f64 x.re (neg.f64 y.re))
39.2%
(/.f64 x.re y.re)
7.4%
(/.f64 x.re y.im)
43.4%
(/.f64 x.im y.im)
18.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 x.im y.im) y.re)))
43.4%
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))))
20.2%
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im (/.f64 y.im y.re))))
57.2%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
43.1%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
5.9%
(-.f64 (/.f64 (neg.f64 x.im) y.re) (/.f64 x.re y.im))
6.7%
(+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))
58.1%
(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
43.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im y.im) (hypot.f64 y.re y.im)))
35.2%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))
28.2%
(*.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))))
27.1%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
43.4%
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
8.2%
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.re)
37.0%
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
17.5%
(*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))
44.5%
(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
Compiler

Compiled 1110 to 471 computations (57.6% saved)

regimes100.0ms (0.8%)

Counts
63 → 2
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.re y.im)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(-.f64 (/.f64 (neg.f64 x.im) y.re) (/.f64 x.re y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 x.im y.im) 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.im) y.re)) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im y.re)))) y.im)
(/.f64 (+.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.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 (*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 x.re (hypot.f64 y.re y.im))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re)))
(*.f64 (/.f64 #s(literal -1 binary64) y.im) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))
(*.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 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #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 y.im (/.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im y.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.re y.re) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (hypot.f64 y.re y.im)))
(/.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 (-.f64 x.im (*.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (/.f64 x.im y.im))) y.im)) y.im)
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(*.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im)))
(fma.f64 y.im (-.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re y.re))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal -1 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
Calls

5 calls:

20.0ms
y.re
19.0ms
x.im
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)))
18.0ms
y.im
18.0ms
x.re
Results
AccuracySegmentsBranch
81.8%3x.re
80.1%2x.im
89.4%5y.re
85.1%3y.im
86.9%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)

regimes91.0ms (0.7%)

Counts
58 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.re y.im)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(-.f64 (/.f64 (neg.f64 x.im) y.re) (/.f64 x.re y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 x.im y.im) 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.im) y.re)) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im y.re)))) y.im)
(/.f64 (+.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.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 (*.f64 y.im (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 x.re (hypot.f64 y.re y.im))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (fma.f64 y.im (/.f64 x.im y.re) x.re)))
(*.f64 (/.f64 #s(literal -1 binary64) y.im) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.im y.re)) x.im))
(*.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 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.re y.im) #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 y.im (/.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.im y.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.re y.re) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (*.f64 y.im (*.f64 x.re (/.f64 y.re y.im))) (hypot.f64 y.re y.im)))
(/.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 (-.f64 x.im (*.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 y.re x.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (/.f64 x.im y.im))) y.im)) y.im)
(/.f64 (+.f64 (-.f64 x.re (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(*.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (fma.f64 x.re (/.f64 y.re y.im) x.im))
Outputs
(/.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 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)
Calls

3 calls:

52.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
18.0ms
y.im
17.0ms
y.re
Results
AccuracySegmentsBranch
84.6%5y.im
85.3%5y.re
82.0%5(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes43.0ms (0.3%)

Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.re y.im)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(-.f64 (/.f64 (neg.f64 x.im) y.re) (/.f64 x.re y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 x.im y.im) 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.im) y.re)) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im y.re)))) y.im)
(/.f64 (+.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))))
Outputs
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)
Calls

4 calls:

12.0ms
x.im
11.0ms
y.re
9.0ms
y.im
8.0ms
x.re
Results
AccuracySegmentsBranch
80.2%3y.im
64.2%3x.im
65.7%4x.re
80.3%3y.re
Compiler

Compiled 20 to 16 computations (20% saved)

regimes18.0ms (0.1%)

Counts
26 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.re y.im)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(-.f64 (/.f64 (neg.f64 x.im) y.re) (/.f64 x.re y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 x.im y.im) 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.im) y.re)) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im y.re)))) y.im)
Outputs
(/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im)
(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
(/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im)
Calls

2 calls:

9.0ms
y.im
8.0ms
y.re
Results
AccuracySegmentsBranch
80.2%3y.im
79.9%3y.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Counts
20 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.re y.im)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(-.f64 (/.f64 (neg.f64 x.im) y.re) (/.f64 x.re y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 x.im y.im) 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.im) y.re)) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
Outputs
(/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im)
Calls

1 calls:

6.0ms
y.im
Results
AccuracySegmentsBranch
80.2%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

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

2 calls:

6.0ms
y.im
6.0ms
y.re
Results
AccuracySegmentsBranch
74.9%3y.re
71.8%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes31.0ms (0.2%)

Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.re y.im)
(/.f64 x.re y.re)
(/.f64 x.re (neg.f64 y.re))
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.re)
(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(-.f64 (/.f64 (neg.f64 x.im) y.re) (/.f64 x.re y.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 (*.f64 x.im y.im) 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.im) y.re)) y.im)
Outputs
(/.f64 x.re y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 x.re y.re)
Calls

1 calls:

6.0ms
y.re
Results
AccuracySegmentsBranch
74.8%3y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.2%)

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

4 calls:

6.0ms
y.im
5.0ms
x.im
5.0ms
x.re
5.0ms
y.re
Results
AccuracySegmentsBranch
53.9%3x.re
53.0%4x.im
63.8%3y.im
63.2%3y.re
Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0.1%)

Accuracy

Total -24.2b remaining (-67%)

Threshold costs -24.2b (-67%)

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

4 calls:

3.0ms
x.im
2.0ms
x.re
2.0ms
y.im
1.0ms
y.re
Results
AccuracySegmentsBranch
43.4%1x.im
43.4%1x.re
43.4%1y.re
43.4%1y.im
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch70.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.350427161144209e+81
8.530391973066207e+83
20.0ms
5.854651573468103e-134
2.313332033495159e-129
17.0ms
-73130220.23179905
-1774.760007852417
10.0ms
-4.7369980651784654e+91
-1.9873393790455375e+91
Results
49.0ms464×0valid
Compiler

Compiled 1024 to 643 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 14.0ms (55.7% of total)
ival-div: 6.0ms (23.9% of total)
ival-add: 4.0ms (15.9% of total)
ival-true: 1.0ms (4% of total)
ival-assert: 1.0ms (4% of total)

bsearch57.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.7299331132621e+61
1.0960072708425325e+67
19.0ms
-1.6041093887916235e+71
-2.3239438757239934e+64
Results
29.0ms288×0valid
Compiler

Compiled 544 to 360 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (55.7% of total)
ival-div: 4.0ms (24.8% of total)
ival-add: 3.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
23167788746.938232
1850537443758088.0
19.0ms
-2.684291947941981e+36
-3.5377136712834454e+33
Results
26.0ms272×0valid
Compiler

Compiled 498 to 324 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 10.0ms (67.3% of total)
ival-add: 3.0ms (20.2% of total)
ival-div: 2.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
23167788746.938232
1850537443758088.0
16.0ms
-2.684291947941981e+36
-3.5377136712834454e+33
Results
29.0ms272×0valid
Compiler

Compiled 498 to 324 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 12.0ms (66.4% of total)
ival-div: 3.0ms (16.6% of total)
ival-add: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
2.7299331132621e+61
1.0960072708425325e+67
15.0ms
-7.676193997508941e+74
-6.815228227167798e+72
Results
25.0ms256×0valid
Compiler

Compiled 374 to 258 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (61.5% of total)
ival-div: 2.0ms (15.4% of total)
ival-add: 2.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.7299331132621e+61
1.0960072708425325e+67
12.0ms
-1.9873393790455375e+91
-2.3632586428691583e+90
Results
24.0ms240×0valid
Compiler

Compiled 352 to 243 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (58.7% of total)
ival-add: 4.0ms (29.4% of total)
ival-div: 2.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
23167788746.938232
1850537443758088.0
19.0ms
-2.684291947941981e+36
-3.5377136712834454e+33
Results
27.0ms272×0valid
Compiler

Compiled 294 to 222 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 11.0ms (67.9% of total)
ival-div: 2.0ms (12.4% of total)
ival-add: 2.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01041102
11411102
Stop Event
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 +inf.0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.re #s(literal -29500000000000000990150037657975500603136190564362440064682365121314035881601632752986226688 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -1850 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.re #s(literal 3068803694902633/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (if (<=.f64 y.re #s(literal 17500000000000000202117273202508998452641722113592202190101399930390291412187873280 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.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)))))
(if (<=.f64 y.re #s(literal -165000000000000002389589872540518431076462857902243725043385162006528 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 28000000000000001437335173729992290391553999207365754811842560 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (/.f64 (+.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)))
(if (<=.f64 y.im #s(literal -3800000000000000023770178672132096 binary64)) (/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im) (if (<=.f64 y.im #s(literal 29000000000000 binary64)) (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re) (/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im)))
(if (<=.f64 y.im #s(literal -3600000000000000265239433396092928 binary64)) (/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im) (if (<=.f64 y.im #s(literal 480000000000 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im)))
(if (<=.f64 y.re #s(literal -11199999999999999684435369395833233661230381405413486758411959814234046464 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 45499999999999999481174271899317709769703309812979078803750912 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.re #s(literal -3599999999999999924574090633996679016703085952451165815910416310328892447487683983562506240 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 119999999999999999635447006472721788268781279119589754301054976 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 -63999999999999996516814783170740224 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 160000000000000 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(/.f64 x.im y.im)
Outputs
(if (<=.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.re #s(literal -29500000000000000990150037657975500603136190564362440064682365121314035881601632752986226688 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -1850 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.re #s(literal 3068803694902633/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (if (<=.f64 y.re #s(literal 17500000000000000202117273202508998452641722113592202190101399930390291412187873280 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.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)))))
(if (<=.f64 y.re #s(literal -165000000000000002389589872540518431076462857902243725043385162006528 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 28000000000000001437335173729992290391553999207365754811842560 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (/.f64 (+.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re x.im) y.im))) y.re)))
(if (<=.f64 y.im #s(literal -3800000000000000023770178672132096 binary64)) (/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im) (if (<=.f64 y.im #s(literal 29000000000000 binary64)) (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re) (/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im)))
(if (or (<=.f64 y.im #s(literal -3800000000000000023770178672132096 binary64)) (not (<=.f64 y.im #s(literal 29000000000000 binary64)))) (/.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) y.im) (/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re))
(if (<=.f64 y.im #s(literal -3600000000000000265239433396092928 binary64)) (/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im) (if (<=.f64 y.im #s(literal 480000000000 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (*.f64 (/.f64 x.re y.im) y.re)) y.im)))
(if (or (<=.f64 y.im #s(literal -3600000000000000265239433396092928 binary64)) (not (<=.f64 y.im #s(literal 480000000000 binary64)))) (/.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.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 -11199999999999999684435369395833233661230381405413486758411959814234046464 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 45499999999999999481174271899317709769703309812979078803750912 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -11199999999999999684435369395833233661230381405413486758411959814234046464 binary64)) (not (<=.f64 y.re #s(literal 45499999999999999481174271899317709769703309812979078803750912 binary64)))) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im))
(if (<=.f64 y.re #s(literal -3599999999999999924574090633996679016703085952451165815910416310328892447487683983562506240 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 119999999999999999635447006472721788268781279119589754301054976 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -3599999999999999924574090633996679016703085952451165815910416310328892447487683983562506240 binary64)) (not (<=.f64 y.re #s(literal 119999999999999999635447006472721788268781279119589754301054976 binary64)))) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.im #s(literal -63999999999999996516814783170740224 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 160000000000000 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(if (or (<=.f64 y.im #s(literal -63999999999999996516814783170740224 binary64)) (not (<=.f64 y.im #s(literal 160000000000000 binary64)))) (/.f64 x.im y.im) (/.f64 x.re y.re))
(/.f64 x.im y.im)

soundness2.0s (15.7%)

Rules
947×log1p-expm1-u
819×log1p-expm1-u
819×expm1-log1p-u
814×fma-define
772×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018153
1254143
23547143
0129840107
1359838049
029414
1447382
26711382
0160645680
1427343727
036497
1617481
060613204
1150412488
2484912428
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 668 to 253 computations (62.1% saved)

preprocess67.0ms (0.5%)

Compiler

Compiled 584 to 218 computations (62.7% saved)

end0.0ms (0%)

Profiling

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