_divideComplex, real part

Time bar (total: 13.8s)

analyze31.0ms (0.2%)

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)

sample5.1s (36.6%)

Results
949.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 539.0ms
ival-mult: 366.0ms (67.9% of total)
ival-add: 110.0ms (20.4% of total)
ival-div: 53.0ms (9.8% of total)
ival-true: 7.0ms (1.3% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

preprocess505.0ms (3.7%)

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)))

explain302.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1100-0-(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
00-0-(+.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/o570
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))overflow75
(*.f64 x.im y.im)overflow40
(*.f64 x.re y.re)overflow36
(*.f64 y.re y.re)overflow56
(*.f64 y.im y.im)overflow73
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))overflow114
/.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/o310
(*.f64 y.re y.re)overflow56
(*.f64 y.im y.im)overflow73
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))overflow114
/.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/n180
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))overflow75
(*.f64 x.im y.im)overflow40
(*.f64 x.re y.re)overflow36
/.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/u30
(*.f64 y.re y.re)underflow63
(*.f64 y.im y.im)underflow53
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))underflow10
/.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))underflow1
(*.f64 x.im y.im)underflow32
(*.f64 x.re y.re)underflow33
Confusion
Predicted +Predicted -
+1100
-0146
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11000
-00146
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0146
1110
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
52.0ms512×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 14.0ms (63.2% of total)
ival-add: 4.0ms (18.1% of total)
ival-div: 3.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
58.4%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify7.0ms (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)

localize40.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.re y.re)
accuracy100.0%
(*.f64 x.im y.im)
accuracy100.0%
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
accuracy58.8%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
29.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 12.0ms (75.7% of total)
ival-div: 2.0ms (12.6% of total)
ival-add: 2.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series96.0ms (0.7%)

Counts
6 → 120
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))>
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)))))>
Calls

42 calls:

TimeVariablePointExpression
75.0ms
x.im
@-inf
(+ (* x.re y.re) (* x.im y.im))
2.0ms
x.re
@-inf
(* x.re y.re)
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
x.im
@0
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite254.0ms (1.8%)

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
018129
1254124
23547124
Stop Event
node limit
Counts
6 → 157
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))
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))

simplify151.0ms (1.1%)

Algorithm
egg-herbie
Rules
560×cancel-sign-sub-inv
485×distribute-lft-neg-in
434×distribute-rgt-neg-in
426×distribute-lft-in
340×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051010725
1128310195
2419310135
Stop Event
node limit
Counts
277 → 273
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))
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(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))
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))
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(/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
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(fma.f64 y.re x.re (*.f64 y.im x.im))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) #s(literal 1 binary64)))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 y.re x.re (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 (*.f64 x.re y.re) #s(literal 1 binary64) (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 y.im x.im (*.f64 x.re y.re))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 (*.f64 x.im y.im) #s(literal 1 binary64) (*.f64 x.re y.re))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re y.re) (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im y.im) (*.f64 x.re y.re))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(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 y.re x.re (*.f64 y.im x.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 y.re x.re (*.f64 y.im x.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 y.re x.re (*.f64 y.im x.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 y.re x.re (*.f64 y.im x.im))
(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 y.re x.re (*.f64 y.im x.im))
(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 y.re x.re (*.f64 y.im x.im))
(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 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 y.re (cbrt.f64 x.re)) (*.f64 y.im x.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 y.re x.re (*.f64 y.im x.im))
(fma.f64 (sqrt.f64 (*.f64 x.re y.re)) (sqrt.f64 (*.f64 x.re y.re)) (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 (sqrt.f64 (*.f64 x.im y.im)) (sqrt.f64 (*.f64 x.im y.im)) (*.f64 x.re y.re))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) x.re) (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) y.re) (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) y.im) (*.f64 x.re y.re))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) x.im) (*.f64 x.re y.re))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(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 y.re x.re (*.f64 y.im x.im))
(fma.f64 (*.f64 x.re (sqrt.f64 y.re)) (sqrt.f64 y.re) (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 y.im x.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 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 y.re (cbrt.f64 x.re)) (*.f64 y.im x.im))
(fma.f64 (*.f64 y.re (sqrt.f64 x.re)) (sqrt.f64 x.re) (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 y.im x.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 y.re x.re (*.f64 y.im x.im))
(fma.f64 (*.f64 x.im (sqrt.f64 y.im)) (sqrt.f64 y.im) (*.f64 x.re y.re))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(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 y.re x.re (*.f64 y.im x.im))
(fma.f64 (*.f64 y.im (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.re))
(fma.f64 y.re x.re (*.f64 y.im x.im))

eval32.0ms (0.2%)

Compiler

Compiled 5383 to 986 computations (81.7% saved)

prune53.0ms (0.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New26013273
Fresh000
Picked011
Done000
Total26014274
Accuracy
99.7%
Counts
274 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.im y.im))
54.1%
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
58.4%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
52.5%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
54.0%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
55.0%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
40.0%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
37.4%
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
47.7%
(/.f64 (*.f64 x.re (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.7%
(/.f64 x.re y.re)
45.3%
(/.f64 x.im y.im)
49.3%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
70.9%
(*.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)))
56.1%
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.re)))))
Compiler

Compiled 407 to 241 computations (40.8% saved)

simplify66.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
cost-diff0
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
cost-diff0
(/.f64 x.re y.re)
cost-diff192
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
cost-diff-12608
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
cost-diff-6336
(*.f64 y.re y.re)
cost-diff0
(*.f64 y.im y.im)
cost-diff0
(*.f64 y.re x.re)
cost-diff-6272
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
cost-diff-6272
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
cost-diff0
(*.f64 x.re y.re)
cost-diff0
(/.f64 (*.f64 x.re y.re) y.im)
cost-diff0
(/.f64 x.im y.im)
cost-diff0
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
cost-diff192
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
Rules
158×fma-define
150×times-frac
123×associate-*r*
87×associate-*l*
78×associate-*r/
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
035599
161575
297575
3198568
4362568
5505568
6657568
7796562
8854562
9940562
101025562
111034562
Stop Event
saturated
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.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
x.im
(/.f64 (*.f64 x.re y.re) y.im)
(*.f64 x.re y.re)
x.re
y.re
y.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 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 x.re y.re)
x.re
y.re
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
x.im
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
y.im
(pow.f64 y.re #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (fma.f64 y.re x.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)) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
x.re
(*.f64 x.im y.im)
(*.f64 y.im x.im)
x.im
(/.f64 x.im y.im)
x.im
y.im
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.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 (fma.f64 y.re (/.f64 x.re y.im) x.im) y.im)
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(fma.f64 y.re (/.f64 x.re y.im) x.im)
x.im
(/.f64 (*.f64 x.re y.re) y.im)
(*.f64 x.re (/.f64 y.re y.im))
(*.f64 y.re (/.f64 x.re y.im))
(*.f64 x.re y.re)
(*.f64 y.re x.re)
x.re
y.re
y.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 (*.f64 y.re x.re) (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.re x.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))
(fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 y.re y.re)
(pow.f64 y.re #s(literal 2 binary64))
(*.f64 y.im y.im)
y.im
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re y.re))
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(/.f64 x.re y.re)
x.re
y.re
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))
x.im
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
y.im
(pow.f64 y.re #s(literal 2 binary64))
#s(literal 2 binary64)

localize110.0ms (0.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x.re y.re)
accuracy96.8%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
accuracy91.0%
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
accuracy87.9%
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
accuracy100.0%
(*.f64 y.re y.re)
accuracy100.0%
(*.f64 y.re x.re)
accuracy100.0%
(*.f64 y.im y.im)
accuracy73.9%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
accuracy100.0%
(*.f64 x.re y.re)
accuracy100.0%
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
accuracy99.5%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
accuracy93.4%
(/.f64 (*.f64 x.re y.re) y.im)
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))
accuracy99.6%
(*.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)))
accuracy72.0%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Results
80.0ms256×0valid
Compiler

Compiled 147 to 29 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 14.0ms (31.1% of total)
ival-mult: 11.0ms (24.4% of total)
ival-hypot: 11.0ms (24.4% of total)
ival-add: 3.0ms (6.7% of total)
ival-fma: 3.0ms (6.7% of total)
ival-pow: 3.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series65.0ms (0.5%)

Counts
15 → 414
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 (*.f64 x.re y.re) y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (*.f64 y.re x.re)>
#<alt (/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (fma.f64 x.re y.re (*.f64 x.im 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)>
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#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 x.re y.re)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
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#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
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#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
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#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
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#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im y.im)>
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#<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)>
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#<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)>
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#<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)>
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#<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)))))>
Calls

135 calls:

TimeVariablePointExpression
3.0ms
x.re
@-inf
(/ x.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))))
2.0ms
y.im
@-inf
(/ (+ x.im (/ (* x.re y.re) y.im)) y.im)
2.0ms
x.im
@inf
(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms
y.re
@0
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))

rewrite138.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
255×log1p-expm1-u
255×expm1-log1p-u
247×add-exp-log
247×add-log-exp
247×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035427
1588405
Stop Event
node limit
Counts
15 → 464
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 (*.f64 x.re y.re) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(*.f64 y.re x.re)
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 x.re y.re)
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y.re x.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 y.re x.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 y.re x.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 y.re x.re (*.f64 y.im x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 #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 y.re x.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 y.re x.re (*.f64 y.im x.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 (/.f64 (fma.f64 y.re x.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 y.re x.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 y.re x.re (*.f64 y.im x.im)))))
(/.f64 (neg.f64 (fma.f64 y.re x.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 y.re x.re (*.f64 y.im x.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (fma.f64 y.re x.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 y.re x.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 y.re x.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 y.re x.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 y.re x.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 y.re x.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 y.re x.re (*.f64 y.im x.im)))) (neg.f64 (hypot.f64 y.re y.im)))
(pow.f64 (/.f64 (fma.f64 y.re x.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 y.re x.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 y.re x.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 y.re x.re (*.f64 y.im x.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
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(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 y.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) y.re) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y.im) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(pow.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 y.im) y.re) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) #s(literal -1 binary64))
(neg.f64 (/.f64 y.im (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y.im) (pow.f64 y.re #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 y.re x.re) (*.f64 y.im x.im))
(+.f64 (*.f64 (*.f64 y.re x.re) #s(literal 1 binary64)) (*.f64 (*.f64 y.im x.im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(*.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.re x.re) (*.f64 y.im x.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64))) (-.f64 (*.f64 y.re x.re) (*.f64 y.im x.im)))
(pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(cbrt.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(log1p.f64 (expm1.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(exp.f64 (log.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64)))

simplify593.0ms (4.3%)

Algorithm
egg-herbie
Rules
858×fma-define
434×*-commutative
363×distribute-lft-in
238×distribute-rgt-neg-in
214×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0156738875
1424037299
Stop Event
node limit
Counts
878 → 981
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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(/.f64 #s(literal 1 binary64) y.re)
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(/.f64 #s(literal -1 binary64) y.im)
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y.im
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y.re
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(*.f64 #s(literal -1 binary64) y.re)
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y.re
(+.f64 y.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)))
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y.im
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x.im
(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
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x.re
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(+.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))
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(*.f64 #s(literal -1 binary64) x.re)
(+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))
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(*.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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(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) (pow.f64 y.re #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 y.im) y.re) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (pow.f64 y.re #s(literal -2 binary64))))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 y.im y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 y.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) y.re) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y.im) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(pow.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 y.im) y.re) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) #s(literal -1 binary64))
(neg.f64 (/.f64 y.im (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y.im) (pow.f64 y.re #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 y.re x.re) (*.f64 y.im x.im))
(+.f64 (*.f64 (*.f64 y.re x.re) #s(literal 1 binary64)) (*.f64 (*.f64 y.im x.im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(*.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.re x.re) (*.f64 y.im x.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64))) (-.f64 (*.f64 y.re x.re) (*.f64 y.im x.im)))
(pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(cbrt.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(log1p.f64 (expm1.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(exp.f64 (log.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.re x.re (*.f64 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))))
(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 (neg.f64 x.re) (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (+.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 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 (/.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 x.re (-.f64 (-.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))))) (*.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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))) y.re))
(/.f64 (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.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 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 (neg.f64 x.im) (/.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 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 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.re (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im) (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) 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 (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 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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y.re
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(expm1.f64 (log1p.f64 (*.f64 y.im (*.f64 x.im (pow.f64 y.re #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 y.im x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 x.im y.im))
(/.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))
(*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)
(/.f64 (*.f64 y.im x.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 y.im x.im)) (neg.f64 (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (*.f64 y.im (*.f64 (pow.f64 y.re #s(literal -2 binary64)) x.im)) #s(literal 1 binary64))
(*.f64 y.im (*.f64 x.im (pow.f64 y.re #s(literal -2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y.im (*.f64 (pow.f64 y.re #s(literal -2 binary64)) x.im))) #s(literal 3 binary64))
(*.f64 y.im (*.f64 x.im (pow.f64 y.re #s(literal -2 binary64))))
(pow.f64 (/.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 6 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 6 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.im)) y.re) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) y.re) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x.im) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (*.f64 (pow.f64 y.re #s(literal -2 binary64)) x.im)))))
(*.f64 y.im (*.f64 x.im (pow.f64 y.re #s(literal -2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 6 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (*.f64 (pow.f64 y.re #s(literal -2 binary64)) x.im))))
(expm1.f64 (log1p.f64 (*.f64 y.im (*.f64 x.im (pow.f64 y.re #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y.im (*.f64 (pow.f64 y.re #s(literal -2 binary64)) x.im))))
(*.f64 y.im (*.f64 x.im (pow.f64 y.re #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 y.im (*.f64 (pow.f64 y.re #s(literal -2 binary64)) x.im))))
(*.f64 y.im (*.f64 x.im (pow.f64 y.re #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (*.f64 (pow.f64 y.re #s(literal -2 binary64)) x.im))) #s(literal 1 binary64)))
(*.f64 y.im (*.f64 x.im (pow.f64 y.re #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(*.f64 (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) (pow.f64 y.re #s(literal -2 binary64))))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 y.im) y.re) (/.f64 (sqrt.f64 y.im) y.re))
(pow.f64 (/.f64 (sqrt.f64 y.im) y.re) #s(literal 2 binary64))
(*.f64 (sqrt.f64 y.im) (*.f64 (sqrt.f64 y.im) (pow.f64 y.re #s(literal -2 binary64))))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 y.im y.re))
(/.f64 (/.f64 y.im y.re) y.re)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 y.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(/.f64 (/.f64 y.im (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) y.re) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y.im) (cbrt.f64 (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))))
(pow.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 y.im) y.re) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))
(neg.f64 (/.f64 y.im (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 y.im) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 (neg.f64 y.im) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y.im) (pow.f64 y.re #s(literal -2 binary64))))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))
(+.f64 (*.f64 y.re x.re) (*.f64 y.im x.im))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(+.f64 (*.f64 (*.f64 y.re x.re) #s(literal 1 binary64)) (*.f64 (*.f64 y.im x.im) #s(literal 1 binary64)))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 x.im y.im (*.f64 x.re y.re))))
(*.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(*.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(*.f64 (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.re x.re) (*.f64 y.im x.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64))) (-.f64 (*.f64 y.re x.re) (*.f64 y.im x.im)))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im y.im) #s(literal 2 binary64))) (-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))
(pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 1 binary64))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(pow.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(pow.f64 (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(sqrt.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)))
(log.f64 (exp.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(cbrt.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64)))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(expm1.f64 (log1p.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(expm1.f64 (log1p.f64 (fma.f64 x.im y.im (*.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(exp.f64 (log.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64)))
(fma.f64 x.im y.im (*.f64 x.re y.re))

eval171.0ms (1.2%)

Compiler

Compiled 23061 to 3711 computations (83.9% saved)

prune342.0ms (2.5%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New1111131124
Fresh448
Picked235
Done101
Total1118201138
Accuracy
100.0%
Counts
1138 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.3%
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
70.8%
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
52.5%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
54.1%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
54.0%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
60.3%
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))
44.9%
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
40.0%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
37.4%
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
24.4%
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
47.7%
(/.f64 (*.f64 x.re (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.7%
(/.f64 x.re y.re)
45.3%
(/.f64 x.im y.im)
54.8%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
45.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
52.2%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
36.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))
41.4%
(*.f64 y.re (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
43.8%
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
17.8%
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
Compiler

Compiled 509 to 318 computations (37.5% saved)

simplify305.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y.im x.re)
cost-diff0
(/.f64 x.im (*.f64 y.im x.re))
cost-diff320
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
cost-diff6464
(+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
cost-diff-6144
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
cost-diff0
(/.f64 x.im y.re)
cost-diff0
(/.f64 x.re y.im)
cost-diff0
(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
cost-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.re y.re)
cost-diff0
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 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-diff192
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
Rules
2618×fma-define
2113×associate-*r/
640×associate-/r*
571×*-commutative
494×distribute-rgt-in
Iterations

Useful iterations: 21 (0.0ms)

IterNodesCost
036684
179676
2133669
3224642
4367624
5676624
61756624
72900624
83512624
93796624
103969624
114248624
124322624
134322624
144554624
154714624
164822624
175298624
186016624
196762624
207368624
217666618
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 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
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(fma.f64 y.re x.re (*.f64 y.im x.im))
x.re
(*.f64 y.im x.im)
x.im
(/.f64 x.re y.re)
x.re
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)))
x.re
(*.f64 x.im (/.f64 y.im y.re))
x.im
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
(*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))
y.re
(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.re y.im)
x.re
y.im
(/.f64 x.im y.re)
x.im
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
x.re
(+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 x.im (*.f64 y.im x.re))
x.im
(*.f64 y.im x.re)
y.im
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
y.re
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(*.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im))))
(*.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (fma.f64 y.re y.re (pow.f64 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 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(fma.f64 y.re x.re (*.f64 y.im x.im))
x.re
(*.f64 y.im x.im)
x.im
(/.f64 x.re y.re)
x.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 (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.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.re y.im))
(/.f64 (fma.f64 x.im #s(literal 1 binary64) (*.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 (fma.f64 y.re (/.f64 x.re y.im) x.im) y.im)
(*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))
(fma.f64 x.im #s(literal 1 binary64) (*.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)
y.re
(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.re y.im)
x.re
y.im
(/.f64 x.im y.re)
x.im
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.re y.im))
(/.f64 (fma.f64 x.im #s(literal 1 binary64) (*.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 (fma.f64 y.re (/.f64 x.re y.im) x.im) y.im)
x.re
(+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 x.im y.im) x.re) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 y.re y.im) (/.f64 x.im x.re)) y.im)
(/.f64 x.im (*.f64 y.im x.re))
(/.f64 (/.f64 x.im y.im) x.re)
x.im
(*.f64 y.im x.re)
y.im
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
y.re
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)

localize116.0ms (0.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy96.9%
(+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
accuracy92.8%
(/.f64 x.im (*.f64 y.im x.re))
accuracy90.1%
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
accuracy85.9%
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
accuracy100.0%
(/.f64 x.im y.re)
accuracy99.5%
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
accuracy99.3%
(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
accuracy85.2%
(*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))
accuracy100.0%
(/.f64 y.im y.re)
accuracy100.0%
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
accuracy98.5%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
accuracy91.7%
(*.f64 x.im (/.f64 y.im y.re))
accuracy100.0%
(/.f64 x.re y.re)
accuracy100.0%
(*.f64 y.im x.im)
accuracy100.0%
(fma.f64 y.re x.re (*.f64 y.im x.im))
accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
accuracy71.9%
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))
Results
82.0ms256×0valid
Compiler

Compiled 165 to 30 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 19.0ms (41.6% of total)
ival-hypot: 10.0ms (21.9% of total)
ival-mult: 8.0ms (17.5% of total)
ival-add: 3.0ms (6.6% of total)
ival-fma: 3.0ms (6.6% of total)
ival-pow: 3.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series175.0ms (1.3%)

Counts
18 → 600
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))>
#<alt (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.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 (/.f64 x.re y.im) (/.f64 x.im y.re))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)>
#<alt (+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (/.f64 x.im (*.f64 y.im x.re))>
#<alt (*.f64 y.im x.re)>
#<alt (fma.f64 y.re x.re (*.f64 y.im x.im))>
#<alt (*.f64 y.im x.im)>
#<alt (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))>
#<alt (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))>
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)))))>
#<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)))))))))>
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#<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 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 x.re y.re) y.im))) y.im))>
#<alt (/.f64 x.im y.im)>
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#<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.re y.re) (pow.f64 y.im #s(literal 2 binary64)))>
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#<alt (*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))>
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#<alt (*.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)))))))>
#<alt (*.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)))))))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
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#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
#<alt (/.f64 x.im (*.f64 x.re y.im))>
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#<alt (/.f64 x.im (*.f64 x.re y.im))>
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#<alt (*.f64 x.re y.im)>
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#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
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#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 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.im y.im)>
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#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
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#<alt (*.f64 #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.re y.re)>
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#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
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#<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)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 x.re y.re)>
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#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
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#<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)>
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#<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)>
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#<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 x.im>
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#<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)>
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#<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 (*.f64 x.re y.re) y.im)>
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#<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>
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#<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

174 calls:

TimeVariablePointExpression
63.0ms
y.re
@inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im)))
40.0ms
x.im
@0
(* x.re (+ (/ x.im (* y.im x.re)) (/ y.re (pow y.im 2))))
2.0ms
y.re
@-inf
(/ (+ x.re (* x.im (/ y.im y.re))) y.re)
1.0ms
x.im
@-inf
(+ (/ x.re y.im) (/ x.im y.re))
1.0ms
x.im
@inf
(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im)))

rewrite539.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
298×log1p-expm1-u
298×expm1-log1p-u
293×add-cube-cbrt
291×add-exp-log
291×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035561
1629527
Stop Event
node limit
Counts
18 → 479
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.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 (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.re y.im)
(/.f64 x.im y.re)
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
(+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 x.im (*.f64 y.im x.re))
(*.f64 y.im x.re)
(fma.f64 y.re x.re (*.f64 y.im x.im))
(*.f64 y.im x.im)
(*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) (hypot.f64 y.re y.im)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (hypot.f64 y.re y.im) (/.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))) (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))) (/.f64 (hypot.f64 y.re y.im) (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) (/.f64 (hypot.f64 y.re y.im) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (hypot.f64 y.re y.im)) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) (/.f64 (cbrt.f64 (hypot.f64 y.re y.im)) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)) (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re)))) #s(literal 1 binary64))
(/.f64 (*.f64 y.im x.im) y.re)
(/.f64 (neg.f64 (*.f64 y.im x.im)) (neg.f64 y.re))
(pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.im y.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y.im y.re))
(*.f64 y.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (sqrt.f64 (/.f64 y.im y.re)) (sqrt.f64 (/.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.im) y.re))
(*.f64 (/.f64 (sqrt.f64 y.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.im) y.re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 y.im (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 y.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 y.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.im) (cbrt.f64 y.re)))
(pow.f64 (/.f64 y.im y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re y.im) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.im y.re))))
(cbrt.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (/.f64 y.im y.re)))
(exp.f64 (log.f64 (/.f64 y.im y.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 y.im y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)) (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))
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(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (fma.f64 y.re (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.im (*.f64 y.im x.re))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y.re (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.im (*.f64 y.im x.re))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (fma.f64 y.re (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.im (*.f64 y.im x.re))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (fma.f64 y.re (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.im (*.f64 y.im x.re))))))
(exp.f64 (log.f64 (*.f64 x.re (fma.f64 y.re (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.im (*.f64 y.im x.re))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (fma.f64 y.re (pow.f64 y.im #s(literal -2 binary64)) (/.f64 x.im (*.f64 y.im x.re))))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 x.im (*.f64 y.im x.re)) (*.f64 x.re (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(fma.f64 (/.f64 x.im (*.f64 y.im x.re)) x.re (*.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) x.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im (*.f64 y.im x.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x.im (*.f64 y.im x.re)))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 y.im x.re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im (*.f64 y.im x.re))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im (*.f64 y.im x.re))))
(*.f64 (sqrt.f64 (/.f64 x.im (*.f64 y.im x.re))) (sqrt.f64 (/.f64 x.im (*.f64 y.im x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 x.im x.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) (*.f64 y.im x.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (*.f64 y.im x.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 x.im y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 (*.f64 y.im x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y.im x.re))) (/.f64 x.im (sqrt.f64 (*.f64 y.im x.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) y.im) (/.f64 (cbrt.f64 x.im) x.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) x.re) (/.f64 (cbrt.f64 x.im) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (*.f64 y.im x.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y.im x.re))) (/.f64 (cbrt.f64 x.im) (sqrt.f64 (*.f64 y.im x.re))))
(*.f64 (/.f64 (sqrt.f64 x.im) x.re) (/.f64 (sqrt.f64 x.im) y.im))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 (*.f64 y.im x.re))))
(pow.f64 (/.f64 x.im (*.f64 y.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im (*.f64 y.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im (*.f64 y.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im (*.f64 y.im x.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y.im x.re) x.im) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x.im (*.f64 y.im x.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im (*.f64 y.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im (*.f64 y.im x.re)))))
(cbrt.f64 (pow.f64 (/.f64 x.im (*.f64 y.im x.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x.im (*.f64 y.im x.re))))
(log1p.f64 (expm1.f64 (/.f64 x.im (*.f64 y.im x.re))))
(exp.f64 (log.f64 (/.f64 x.im (*.f64 y.im x.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (*.f64 y.im x.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im x.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im x.re))))
(cbrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im x.re)))
(log1p.f64 (expm1.f64 (*.f64 y.im x.re)))
(exp.f64 (log.f64 (*.f64 y.im x.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im x.re)) #s(literal 1 binary64)))
(+.f64 (*.f64 y.re x.re) (*.f64 y.im x.im))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(cbrt.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(log1p.f64 (expm1.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(exp.f64 (log.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im x.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im x.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im x.im))))
(cbrt.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im x.im)))
(log1p.f64 (expm1.f64 (*.f64 y.im x.im)))
(exp.f64 (log.f64 (*.f64 y.im x.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im x.im)) #s(literal 1 binary64)))
(+.f64 (*.f64 y.re (/.f64 x.re y.im)) (*.f64 y.re (/.f64 x.im y.re)))
(+.f64 (*.f64 (/.f64 x.re y.im) y.re) (*.f64 (/.f64 x.im y.re) y.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))))))
(cbrt.f64 (pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))))
(log1p.f64 (expm1.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))))
(exp.f64 (log.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))) #s(literal 1 binary64)))
(fma.f64 y.re (/.f64 x.re y.im) (*.f64 y.re (/.f64 x.im y.re)))
(fma.f64 (/.f64 x.re y.im) y.re (*.f64 (/.f64 x.im y.re) y.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y.re) y.im) (/.f64 (sqrt.f64 y.re) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 y.re y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 y.re (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) y.im) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y.re) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(pow.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 y.re) y.im) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y.re) (pow.f64 y.im #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify448.0ms (3.2%)

Algorithm
egg-herbie
Rules
844×fma-define
448×*-commutative
339×distribute-lft-in
228×distribute-rgt-neg-in
216×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0171847234
1469945794
Stop Event
node limit
Counts
1079 → 961
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)
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x.im
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(fma.f64 x.re (/.f64 x.im (*.f64 y.im x.re)) (*.f64 x.re (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(fma.f64 (/.f64 x.im (*.f64 y.im x.re)) x.re (*.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) x.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im (*.f64 y.im x.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x.im (*.f64 y.im x.re)))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 y.im x.re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im (*.f64 y.im x.re))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im (*.f64 y.im x.re))))
(*.f64 (sqrt.f64 (/.f64 x.im (*.f64 y.im x.re))) (sqrt.f64 (/.f64 x.im (*.f64 y.im x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 x.im x.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) (*.f64 y.im x.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (*.f64 y.im x.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) x.re) (/.f64 x.im y.im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 (*.f64 y.im x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y.im x.re))) (/.f64 x.im (sqrt.f64 (*.f64 y.im x.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) y.im) (/.f64 (cbrt.f64 x.im) x.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) x.re) (/.f64 (cbrt.f64 x.im) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (*.f64 y.im x.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y.im x.re))) (/.f64 (cbrt.f64 x.im) (sqrt.f64 (*.f64 y.im x.re))))
(*.f64 (/.f64 (sqrt.f64 x.im) x.re) (/.f64 (sqrt.f64 x.im) y.im))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 (*.f64 y.im x.re))))
(pow.f64 (/.f64 x.im (*.f64 y.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im (*.f64 y.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im (*.f64 y.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im (*.f64 y.im x.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y.im x.re) x.im) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x.im (*.f64 y.im x.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im (*.f64 y.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im (*.f64 y.im x.re)))))
(cbrt.f64 (pow.f64 (/.f64 x.im (*.f64 y.im x.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x.im (*.f64 y.im x.re))))
(log1p.f64 (expm1.f64 (/.f64 x.im (*.f64 y.im x.re))))
(exp.f64 (log.f64 (/.f64 x.im (*.f64 y.im x.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (*.f64 y.im x.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im x.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im x.re))))
(cbrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im x.re)))
(log1p.f64 (expm1.f64 (*.f64 y.im x.re)))
(exp.f64 (log.f64 (*.f64 y.im x.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im x.re)) #s(literal 1 binary64)))
(+.f64 (*.f64 y.re x.re) (*.f64 y.im x.im))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y.re x.re (*.f64 y.im x.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)))))
(cbrt.f64 (pow.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(log1p.f64 (expm1.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(exp.f64 (log.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.re x.re (*.f64 y.im x.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im x.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im x.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im x.im))))
(cbrt.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im x.im)))
(log1p.f64 (expm1.f64 (*.f64 y.im x.im)))
(exp.f64 (log.f64 (*.f64 y.im x.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im x.im)) #s(literal 1 binary64)))
(+.f64 (*.f64 y.re (/.f64 x.re y.im)) (*.f64 y.re (/.f64 x.im y.re)))
(+.f64 (*.f64 (/.f64 x.re y.im) y.re) (*.f64 (/.f64 x.im y.re) y.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))))))
(cbrt.f64 (pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))))
(log1p.f64 (expm1.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))))
(exp.f64 (log.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))) #s(literal 1 binary64)))
(fma.f64 y.re (/.f64 x.re y.im) (*.f64 y.re (/.f64 x.im y.re)))
(fma.f64 (/.f64 x.re y.im) y.re (*.f64 (/.f64 x.im y.re) y.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y.re) y.im) (/.f64 (sqrt.f64 y.re) y.im))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 y.re y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 y.re (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) y.im) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y.re) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(pow.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 y.re) y.im) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y.re) (pow.f64 y.im #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) #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 x.re (neg.f64 (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(/.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 (-.f64 x.re (*.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 (+.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))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 y.im y.re) x.re)) y.re))
(/.f64 (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)) (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 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 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (neg.f64 y.re)) x.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 x.re (neg.f64 (pow.f64 y.im #s(literal 2 binary64))))) y.re) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (-.f64 (/.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)) (neg.f64 y.re)) x.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)))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im x.im))))
(*.f64 x.im y.im)
(cbrt.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 3 binary64)))
(*.f64 x.im y.im)
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im y.im)
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(*.f64 x.im y.im)
(expm1.f64 (log1p.f64 (*.f64 y.im x.im)))
(expm1.f64 (log1p.f64 (*.f64 x.im y.im)))
(log1p.f64 (expm1.f64 (*.f64 y.im x.im)))
(*.f64 x.im y.im)
(exp.f64 (log.f64 (*.f64 y.im x.im)))
(*.f64 x.im y.im)
(exp.f64 (*.f64 (log.f64 (*.f64 y.im x.im)) #s(literal 1 binary64)))
(*.f64 x.im y.im)
(+.f64 (*.f64 y.re (/.f64 x.re y.im)) (*.f64 y.re (/.f64 x.im y.re)))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(+.f64 (*.f64 (/.f64 x.re y.im) y.re) (*.f64 (/.f64 x.im y.re) y.re))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))))
(pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 1 binary64))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(pow.f64 (cbrt.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))) #s(literal 3 binary64))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(pow.f64 (pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(pow.f64 (sqrt.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))) #s(literal 2 binary64))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(sqrt.f64 (pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))))))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(cbrt.f64 (pow.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) #s(literal 3 binary64)))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) #s(literal 3 binary64))))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(expm1.f64 (log1p.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))))
(expm1.f64 (log1p.f64 (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))))
(log1p.f64 (expm1.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))) #s(literal 1 binary64)))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(fma.f64 y.re (/.f64 x.re y.im) (*.f64 y.re (/.f64 x.im y.re)))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(fma.f64 (/.f64 x.re y.im) y.re (*.f64 (/.f64 x.im y.re) y.re))
(*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 y.re) y.im) (/.f64 (sqrt.f64 y.re) y.im))
(pow.f64 (/.f64 (sqrt.f64 y.re) y.im) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 y.re y.im))
(/.f64 (/.f64 y.re y.im) y.im)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 y.re (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 y.re (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (/.f64 y.re (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) y.im) (/.f64 (cbrt.f64 y.re) y.im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y.re) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(pow.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 y.re) y.im) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))
(sqrt.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 y.re) (pow.f64 y.im #s(literal -2 binary64))))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))))))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 y.re (pow.f64 y.im #s(literal -2 binary64)))

eval315.0ms (2.3%)

Compiler

Compiled 28338 to 4832 computations (82.9% saved)

prune204.0ms (1.5%)

Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New125381261
Fresh3912
Picked325
Done033
Total1259221281
Accuracy
100.0%
Counts
1281 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.3%
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
52.5%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
54.1%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
54.1%
(/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
54.0%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
60.3%
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))
24.0%
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
40.0%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
37.4%
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
24.4%
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
51.0%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
44.7%
(/.f64 x.re y.re)
45.3%
(/.f64 x.im y.im)
44.2%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
44.7%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))))
45.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
52.2%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
54.0%
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
41.4%
(*.f64 y.re (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
44.0%
(*.f64 x.re (/.f64 (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)) y.im))
44.5%
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
17.8%
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
Compiler

Compiled 495 to 321 computations (35.2% saved)

simplify271.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff-6016
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
cost-diff0
(*.f64 x.re y.re)
cost-diff0
(*.f64 x.im y.im)
cost-diff0
(/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
cost-diff-128
(/.f64 x.re y.re)
cost-diff0
(/.f64 y.im y.re)
cost-diff0
(/.f64 (/.f64 y.im y.re) y.re)
cost-diff0
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
cost-diff0
(/.f64 x.re y.im)
cost-diff0
(*.f64 y.re (/.f64 x.re y.im))
cost-diff0
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) y.re)
cost-diff128
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
cost-diff0
(hypot.f64 y.im y.re)
cost-diff0
(/.f64 x.re (hypot.f64 y.im y.re))
cost-diff0
(*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re)
cost-diff6400
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))
Rules
1267×fma-define
792×*-commutative
649×associate-/r/
577×times-frac
551×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032599
176571
2140567
3349552
4867534
51692534
62340534
72682534
82907534
93172534
103543534
113757534
124106534
134792534
145800534
155939534
166454534
176739534
187025534
197414534
207950534
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))
(*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re)
(/.f64 x.re (hypot.f64 y.im y.re))
x.re
(hypot.f64 y.im y.re)
y.im
y.re
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
x.re
(/.f64 #s(literal 1 binary64) y.re)
#s(literal 1 binary64)
y.re
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(*.f64 y.re (/.f64 x.re y.im))
y.re
(/.f64 x.re y.im)
x.re
y.im
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(/.f64 x.re y.re)
x.re
y.re
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
x.im
(/.f64 (/.f64 y.im y.re) y.re)
(/.f64 y.im y.re)
y.im
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))
x.re
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))
#s(literal 1 binary64)
(/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(*.f64 x.im y.im)
x.im
y.im
(*.f64 x.re y.re)
y.re
Outputs
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))
(*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re)))
(*.f64 y.re (/.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(*.f64 x.re (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))))
(*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re)
(*.f64 y.re (/.f64 x.re (hypot.f64 y.im y.re)))
(*.f64 x.re (/.f64 y.re (hypot.f64 y.im y.re)))
(/.f64 (*.f64 x.re y.re) (hypot.f64 y.im y.re))
(/.f64 x.re (hypot.f64 y.im y.re))
x.re
(hypot.f64 y.im y.re)
y.im
y.re
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (*.f64 x.re #s(literal 1 binary64)) y.re)
(/.f64 x.re y.re)
x.re
(/.f64 #s(literal 1 binary64) y.re)
#s(literal 1 binary64)
y.re
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))
(*.f64 y.re (/.f64 x.re (*.f64 y.im y.im)))
(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
(*.f64 x.re (/.f64 y.re (*.f64 y.im y.im)))
(*.f64 y.re (/.f64 x.re y.im))
(/.f64 (*.f64 x.re y.re) y.im)
(*.f64 x.re (/.f64 y.re y.im))
y.re
(/.f64 x.re y.im)
x.re
y.im
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
(fma.f64 x.im (/.f64 y.im (*.f64 y.re y.re)) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (*.f64 y.re y.re)) (/.f64 x.re y.re))
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(/.f64 x.re y.re)
(/.f64 (*.f64 x.re #s(literal 1 binary64)) y.re)
x.re
y.re
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
(*.f64 x.im (/.f64 y.im (*.f64 y.re y.re)))
(*.f64 y.im (/.f64 x.im (*.f64 y.re y.re)))
x.im
(/.f64 (/.f64 y.im y.re) y.re)
(/.f64 y.im (*.f64 y.re y.re))
(/.f64 y.im y.re)
y.im
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (*.f64 y.re y.re))))
(fma.f64 x.im (/.f64 y.im (*.f64 y.re y.re)) (/.f64 x.re y.re))
(fma.f64 y.im (/.f64 x.im (*.f64 y.re y.re)) (/.f64 x.re y.re))
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im x.im) (*.f64 x.re y.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im x.re) y.re) #s(literal 1 binary64)))
(fma.f64 y.im (/.f64 x.im y.re) x.re)
x.re
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im x.im) (*.f64 x.re y.re)))
(fma.f64 x.im (/.f64 (/.f64 y.im x.re) y.re) #s(literal 1 binary64))
(fma.f64 x.im (/.f64 (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(/.f64 (*.f64 y.im x.im) (*.f64 x.re y.re))
(*.f64 x.im (/.f64 (/.f64 y.im x.re) y.re))
(*.f64 y.im (/.f64 (/.f64 x.im x.re) y.re))
(*.f64 y.im (/.f64 (/.f64 x.im y.re) x.re))
(*.f64 x.im y.im)
(*.f64 y.im x.im)
x.im
y.im
(*.f64 x.re y.re)
y.re

localize209.0ms (1.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.im y.im)
accuracy98.5%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
accuracy92.2%
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))
accuracy86.8%
(/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
accuracy100.0%
(/.f64 x.re y.re)
accuracy99.8%
(/.f64 (/.f64 y.im y.re) y.re)
accuracy96.8%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
accuracy91.0%
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
accuracy100.0%
(/.f64 x.re y.im)
accuracy98.4%
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
accuracy92.8%
(*.f64 y.re (/.f64 x.re y.im))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y.re)
accuracy99.7%
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
accuracy100.0%
(hypot.f64 y.im y.re)
accuracy100.0%
(/.f64 x.re (hypot.f64 y.im y.re))
accuracy98.9%
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))
accuracy86.4%
(*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re)
Results
74.0ms256×0valid
Compiler

Compiled 144 to 27 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 24.0ms (53.3% of total)
ival-mult: 11.0ms (24.4% of total)
ival-add: 5.0ms (11.1% of total)
ival-hypot: 5.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series76.0ms (0.5%)

Counts
14 → 429
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))>
#<alt (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re)>
#<alt (/.f64 x.re (hypot.f64 y.im y.re))>
#<alt (hypot.f64 y.im y.re)>
#<alt (*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)>
#<alt (*.f64 y.re (/.f64 x.re y.im))>
#<alt (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))>
#<alt (/.f64 (/.f64 y.im y.re) y.re)>
#<alt (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
Outputs
#<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 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 (*.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 (*.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 (*.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 (*.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 (*.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 y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re y.re))>
#<alt (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x.re y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 7 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 x.re y.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 x.re y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 7 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 x.re y.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.f64 y.re (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (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)))))>
#<alt (/.f64 x.re y.re)>
#<alt (/.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)>
#<alt (/.f64 (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.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 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) y.re))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 x.re y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt x.re>
#<alt (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))))))>
#<alt (+.f64 x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64)))))))))>
#<alt (/.f64 (*.f64 x.re y.re) y.im)>
#<alt (/.f64 (+.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 2 binary64)))) (*.f64 x.re y.re)) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re y.re))) y.im)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))))) (pow.f64 y.im #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re y.re)))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.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 2 binary64)))) (*.f64 x.re y.re)) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re y.re))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (*.f64 y.re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))))) (pow.f64 y.im #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re y.re)))) y.im))>
#<alt (/.f64 (*.f64 x.re y.re) y.im)>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re y.im)))>
#<alt (*.f64 y.re (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.re y.im)))>
#<alt (*.f64 y.re (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 5 binary64)))))))) (/.f64 x.re y.im)))>
#<alt x.re>
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#<alt (*.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re (*.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (/.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 x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))) #s(literal 1 binary64))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))>
#<alt (*.f64 x.im (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re)) (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im)))))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.re)>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
Calls

123 calls:

TimeVariablePointExpression
16.0ms
y.re
@-inf
(/ (* x.re (+ 1 (/ (* x.im y.im) (* x.re y.re)))) y.re)
12.0ms
y.re
@0
(/ (* y.re (/ x.re y.im)) y.im)
1.0ms
y.im
@inf
(* (/ x.re (sqrt (+ (* y.im y.im) (* y.re y.re)))) y.re)
1.0ms
x.re
@0
(* (/ x.re (sqrt (+ (* y.im y.im) (* y.re y.re)))) y.re)
1.0ms
y.im
@inf
(/ x.re (sqrt (+ (* y.im y.im) (* y.re y.re))))

rewrite401.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
322×times-frac
258×associate-*r*
256×log1p-expm1-u
256×expm1-log1p-u
253×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032425
1583392
Stop Event
node limit
Counts
14 → 419
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))
(*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re)
(/.f64 x.re (hypot.f64 y.im y.re))
(hypot.f64 y.im y.re)
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) y.re)
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(*.f64 y.re (/.f64 x.re y.im))
(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
(/.f64 (/.f64 y.im y.re) y.re)
(/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 y.re (/.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re)))
(*.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (neg.f64 y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)) (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 y.re (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 y.re (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 y.re (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 1 binary64)) (/.f64 y.re (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re))) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)) #s(literal 2 binary64))) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (cbrt.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re))) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re))) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re))) (cbrt.f64 (hypot.f64 y.im y.re))))
(pow.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)) (neg.f64 (hypot.f64 y.im y.re))))
(neg.f64 (/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (neg.f64 y.re)) (hypot.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x.re y.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)))) #s(literal 1 binary64))
(/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) (*.f64 x.re y.re)))
(/.f64 (*.f64 x.re y.re) (hypot.f64 y.im y.re))
(/.f64 (*.f64 x.re (neg.f64 y.re)) (neg.f64 (hypot.f64 y.im y.re)))
(pow.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.re (/.f64 (hypot.f64 y.im y.re) x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(*.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re))))))
(*.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re)))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(/.f64 (+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (/.f64 y.re x.re)) y.re) (*.f64 y.re (/.f64 y.re x.re)))
(/.f64 (+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 y.re)) (*.f64 x.re (neg.f64 y.re))) (*.f64 y.re (neg.f64 y.re)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.re (*.f64 x.im (/.f64 y.im y.re)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 y.re (*.f64 (/.f64 y.re x.re) (*.f64 x.im (/.f64 y.im y.re)))) (*.f64 (/.f64 y.re x.re) y.re))
(/.f64 (+.f64 (*.f64 x.re (neg.f64 y.re)) (*.f64 (neg.f64 y.re) (*.f64 x.im (/.f64 y.im y.re)))) (*.f64 (neg.f64 y.re) y.re))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re)))
(pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(exp.f64 (log.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y.re) x.re (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(fma.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) x.im (/.f64 x.re y.re))
(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 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) (/.f64 x.re y.re))
(fma.f64 (sqrt.f64 (/.f64 x.re y.re)) (sqrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) (/.f64 x.re y.re))
(+.f64 x.re (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))))
(+.f64 x.re (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))
(+.f64 x.re (*.f64 (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re) #s(literal 1 binary64)))
(+.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))) x.re)
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re) x.re)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re) (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re)) (*.f64 x.re (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))) (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re)))) (*.f64 x.re (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re) (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))) (-.f64 x.re (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))) (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))))) (-.f64 x.re (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re)))))
(pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re #s(literal 1 binary64) (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))))
(fma.f64 #s(literal 1 binary64) x.re (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))

simplify607.0ms (4.4%)

Algorithm
egg-herbie
Rules
588×times-frac
503×fma-define
330×*-commutative
252×distribute-rgt-in
249×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0130136040
1348134410
Stop Event
node limit
Counts
848 → 822
Calls
Call 1
Inputs
(/.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))))
(/.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 x.re y.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 3 binary64)))) (/.f64 x.re y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re y.re))
(+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re y.re))
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x.re y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 7 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 x.re y.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x.re y.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 7 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 x.re y.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
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(*.f64 (*.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) (pow.f64 y.re #s(literal -1/2 binary64))) (pow.f64 y.re #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) (neg.f64 y.re)))
(neg.f64 (/.f64 (*.f64 x.re (neg.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))) y.re))
(sqrt.f64 (pow.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re))))
(log1p.f64 (expm1.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re))))
(exp.f64 (log.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)) (/.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(*.f64 (sqrt.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) (sqrt.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(*.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re))))))
(*.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re)))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(/.f64 (+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re) (*.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (/.f64 y.re x.re)) y.re) (*.f64 y.re (/.f64 y.re x.re)))
(/.f64 (+.f64 (*.f64 (*.f64 x.im (/.f64 y.im y.re)) (neg.f64 y.re)) (*.f64 x.re (neg.f64 y.re))) (*.f64 y.re (neg.f64 y.re)))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.re (*.f64 x.im (/.f64 y.im y.re)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 y.re (*.f64 (/.f64 y.re x.re) (*.f64 x.im (/.f64 y.im y.re)))) (*.f64 (/.f64 y.re x.re) y.re))
(/.f64 (+.f64 (*.f64 x.re (neg.f64 y.re)) (*.f64 (neg.f64 y.re) (*.f64 x.im (/.f64 y.im y.re)))) (*.f64 (neg.f64 y.re) y.re))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.re) #s(literal 2 binary64))) (-.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re)))
(pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(exp.f64 (log.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) (/.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.re) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) y.re) x.re (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) (/.f64 x.re y.re))
(fma.f64 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))) x.im (/.f64 x.re y.re))
(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 (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64))))) (/.f64 x.re y.re))
(fma.f64 (sqrt.f64 (/.f64 x.re y.re)) (sqrt.f64 (/.f64 x.re y.re)) (*.f64 x.im (*.f64 y.im (pow.f64 y.re #s(literal -2 binary64)))))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) (*.f64 (/.f64 (sqrt.f64 y.im) y.re) (sqrt.f64 x.im)) (/.f64 x.re y.re))
(+.f64 x.re (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))))
(+.f64 x.re (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))
(+.f64 x.re (*.f64 (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re) #s(literal 1 binary64)))
(+.f64 x.re (*.f64 (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))) x.re)
(+.f64 (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re) x.re)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re) (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re)) (*.f64 x.re (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))) (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re)))) (*.f64 x.re (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re) (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))) (-.f64 x.re (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))) (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))))) (-.f64 x.re (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re)))))
(pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re #s(literal 1 binary64) (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))))
(fma.f64 #s(literal 1 binary64) x.re (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))
Outputs
(/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re 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 x.re (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re y.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 x.re (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(/.f64 (*.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 (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 x.re (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.im (*.f64 x.re y.re)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))
(fma.f64 x.re #s(literal 1 binary64) (*.f64 (*.f64 x.re x.im) (/.f64 y.im (*.f64 x.re y.re))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x.re (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 x.re (*.f64 (/.f64 y.im y.re) (/.f64 x.im x.re))))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.re) (*.f64 x.re (/.f64 (/.f64 (*.f64 y.im x.im) x.re) y.re)))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (*.f64 x.im (/.f64 y.im (*.f64 x.re y.re))) x.re))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 (/.f64 x.im x.re) y.re) #s(literal 1 binary64)))

eval210.0ms (1.5%)

Compiler

Compiled 19691 to 3490 computations (82.3% saved)

prune322.0ms (2.3%)

Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New102151026
Fresh3912
Picked055
Done055
Total1024241048
Accuracy
100.0%
Counts
1048 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.3%
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
18.6%
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
54.1%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
54.1%
(/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
54.0%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
19.3%
(/.f64 (*.f64 (/.f64 (neg.f64 x.re) y.im) y.re) (hypot.f64 y.im y.re))
60.3%
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))
21.9%
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) y.im)
24.0%
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
40.0%
(/.f64 (*.f64 y.re x.re) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
19.8%
(/.f64 (*.f64 y.im (/.f64 x.im y.re)) y.re)
37.4%
(/.f64 (*.f64 y.im x.im) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
24.4%
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
51.0%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
44.7%
(/.f64 x.re y.re)
45.3%
(/.f64 x.im y.im)
44.2%
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
44.7%
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))))
45.0%
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
53.6%
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (/.f64 y.im y.re))))
52.2%
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
41.4%
(*.f64 y.re (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
44.0%
(*.f64 x.re (/.f64 (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)) y.im))
44.5%
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 714 to 319 computations (55.3% saved)

regimes128.0ms (0.9%)

Counts
40 → 5
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.re y.re)
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.im (/.f64 x.im y.re)) y.re)
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(*.f64 x.re (/.f64 (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)) y.im))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.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 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re 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.re (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) y.im)
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (*.f64 (/.f64 (neg.f64 x.re) y.im) y.re) (hypot.f64 y.im y.re))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 y.re (*.f64 x.re (pow.f64 (hypot.f64 y.re 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 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im (/.f64 y.im (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.re)))))
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

5 calls:

79.0ms
x.im
12.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
12.0ms
y.im
11.0ms
x.re
11.0ms
y.re
Results
AccuracySegmentsBranch
80.5%3x.re
82.4%5x.im
88.3%5y.re
89.1%5y.im
85.5%3(/.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)

regimes53.0ms (0.4%)

Counts
37 → 4
Calls
Call 1
Inputs
(/.f64 x.im y.im)
(/.f64 x.re y.re)
(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.im (/.f64 x.im y.re)) y.re)
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
(*.f64 x.re (/.f64 (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)) y.im))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.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 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 #s(literal 1 binary64) y.re) (*.f64 x.im (/.f64 y.im y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)))))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re 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.re (+.f64 y.re (*.f64 x.im (/.f64 y.im x.re)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (*.f64 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) y.im)
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (*.f64 (/.f64 (neg.f64 x.re) y.im) y.re) (hypot.f64 y.im y.re))
(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 x.im (*.f64 y.im x.re)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))))
(*.f64 y.re (*.f64 x.re (pow.f64 (hypot.f64 y.re 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 (/.f64 x.re (hypot.f64 y.im y.re)) y.re) (hypot.f64 y.im y.re))
Outputs
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

3 calls:

28.0ms
y.im
13.0ms
y.re
9.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Results
AccuracySegmentsBranch
86.4%5y.re
80.5%5(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
86.6%4y.im
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes18.0ms (0.1%)

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

2 calls:

10.0ms
y.re
7.0ms
y.im
Results
AccuracySegmentsBranch
80.8%3y.re
82.2%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
y.im
Results
AccuracySegmentsBranch
82.2%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes47.0ms (0.3%)

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

4 calls:

33.0ms
x.im
4.0ms
y.re
4.0ms
y.im
4.0ms
x.re
Results
AccuracySegmentsBranch
61.8%3x.im
61.5%3x.re
76.8%3y.re
75.2%3y.im
Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0.1%)

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

2 calls:

3.0ms
y.re
3.0ms
y.im
Results
AccuracySegmentsBranch
69.9%3y.im
68.4%3y.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
x.im
1.0ms
x.re
1.0ms
y.im
1.0ms
y.re
Results
AccuracySegmentsBranch
45.3%1x.re
45.3%1x.im
45.3%1y.re
45.3%1y.im
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch70.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
7.410161319538193e+128
5.56372995148695e+137
17.0ms
2.162671324518446e-71
2.982035853115103e-66
15.0ms
-3.8730793620364985e-106
-9.007504158383903e-109
16.0ms
-3.838140044364694e+85
-1.1563110473486132e+84
Results
46.0ms528×0valid
Compiler

Compiled 1211 to 745 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 21.0ms (71.3% of total)
ival-add: 4.0ms (13.6% of total)
ival-div: 3.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
7.612007124340938e+74
1.2230016824797333e+81
13.0ms
-3.8730793620364985e-106
-9.007504158383903e-109
14.0ms
-6.281139033634492e+36
-1.6681243469675117e+36
Results
39.0ms352×0valid
Compiler

Compiled 750 to 487 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 23.0ms (81.3% of total)
ival-add: 3.0ms (10.6% of total)
ival-div: 2.0ms (7.1% 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
17.0ms
7.612007124340938e+74
1.2230016824797333e+81
15.0ms
-184659737.15892494
-4091123.115014592
Results
20.0ms256×0valid
Compiler

Compiled 502 to 338 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (64.4% of total)
ival-div: 2.0ms (16.1% of total)
ival-add: 2.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
7.612007124340938e+74
1.2230016824797333e+81
13.0ms
-184659737.15892494
-4091123.115014592
Results
22.0ms256×0valid
Compiler

Compiled 470 to 306 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (56.6% of total)
ival-div: 3.0ms (24.2% of total)
ival-add: 2.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch110.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
91.0ms
2.1197741961742156e+32
1.8416430184291396e+34
17.0ms
-4.72898752324071e+82
-4.5216670083985474e+76
Results
100.0ms256×0valid
Compiler

Compiled 374 to 258 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 88.0ms (95.8% of total)
ival-div: 2.0ms (2.2% of total)
ival-add: 2.0ms (2.2% 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
16.0ms
7.612007124340938e+74
1.2230016824797333e+81
16.0ms
-1383666041755759.8
-184659737.15892494
Results
23.0ms288×0valid
Compiler

Compiled 310 to 234 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (57.5% of total)
ival-div: 3.0ms (21.6% of total)
ival-add: 2.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
088923
1120923
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y.im #s(literal -15200000000000000360421494442069345819439770661083265950057063408388635839867937357824 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -7271615656692735/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 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))) (if (<=.f64 y.im #s(literal 5470555600507653/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re) (if (<=.f64 y.im #s(literal 1060000000000000041206434455342817539378464710417054849768700767185319119088704839360700899685878779844717522805133247431055507456 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -2999999999999999979687959532377473024 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -8990361175547381/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1799999999999999988291959437090428727963002712946237386237988089314114797568 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -132000000 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 850000000000000027949078989577222084217850427109944096047167857095404945408 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -11000000 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 26999999999999999020910369426861293148463994523612259532468324448315304312832 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.re #s(literal -260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 350000000000000009774368460636160 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 -92000000000000 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 919999999999999940451288903657654387337909419689323468892649675111897497600 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(/.f64 x.im y.im)
Outputs
(if (<=.f64 y.im #s(literal -15200000000000000360421494442069345819439770661083265950057063408388635839867937357824 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -7271615656692735/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 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))) (if (<=.f64 y.im #s(literal 5470555600507653/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re) (if (<=.f64 y.im #s(literal 1060000000000000041206434455342817539378464710417054849768700767185319119088704839360700899685878779844717522805133247431055507456 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -15200000000000000360421494442069345819439770661083265950057063408388635839867937357824 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -7271615656692735/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) (*.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))) (if (<=.f64 y.im #s(literal 5470555600507653/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re) (if (<=.f64 y.im #s(literal 1060000000000000041206434455342817539378464710417054849768700767185319119088704839360700899685878779844717522805133247431055507456 binary64)) (*.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 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -2999999999999999979687959532377473024 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -8990361175547381/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1799999999999999988291959437090428727963002712946237386237988089314114797568 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -2999999999999999979687959532377473024 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal -8990361175547381/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) (/.f64 (+.f64 (*.f64 y.im x.im) (*.f64 x.re y.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1799999999999999988291959437090428727963002712946237386237988089314114797568 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -132000000 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 850000000000000027949078989577222084217850427109944096047167857095404945408 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (or (<=.f64 y.im #s(literal -132000000 binary64)) (not (<=.f64 y.im #s(literal 850000000000000027949078989577222084217850427109944096047167857095404945408 binary64)))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re))
(if (<=.f64 y.im #s(literal -11000000 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 26999999999999999020910369426861293148463994523612259532468324448315304312832 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (or (<=.f64 y.im #s(literal -11000000 binary64)) (not (<=.f64 y.im #s(literal 26999999999999999020910369426861293148463994523612259532468324448315304312832 binary64)))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.re #s(literal -260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 350000000000000009774368460636160 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 -260000000000000018663387145971383195348398005969182809960058423038525829021696 binary64)) (not (<=.f64 y.re #s(literal 350000000000000009774368460636160 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 -92000000000000 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 919999999999999940451288903657654387337909419689323468892649675111897497600 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(if (or (<=.f64 y.im #s(literal -92000000000000 binary64)) (not (<=.f64 y.im #s(literal 919999999999999940451288903657654387337909419689323468892649675111897497600 binary64)))) (/.f64 x.im y.im) (/.f64 x.re y.re))
(/.f64 x.im y.im)

soundness890.0ms (6.4%)

Rules
858×fma-define
819×log1p-expm1-u
819×expm1-log1p-u
560×cancel-sign-sub-inv
503×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035561
1629527
0156738875
1424037299
018129
1254124
23547124
051010725
1128310195
2419310135
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 449 to 147 computations (67.3% saved)

preprocess95.0ms (0.7%)

Compiler

Compiled 502 to 184 computations (63.3% saved)

end0.0ms (0%)

Profiling

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