_divideComplex, real part

Time bar (total: 12.7s)

analyze26.0ms (0.2%)

Memory
-9.9MiB live, 68.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.5s (11.6%)

Memory
-15.1MiB live, 1 897.2MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 848.0ms
ival-mult: 523.0ms (61.7% of total)
ival-div: 163.0ms (19.2% of total)
ival-add: 154.0ms (18.2% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess428.0ms (3.4%)

Memory
36.8MiB live, 115.1MiB allocated
Algorithm
egg-herbie
Rules
1 573×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)))

explain147.0ms (1.2%)

Memory
-9.6MiB live, 277.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1010-2(1.387451903632732e-196 8.768995532724168e-225 -7.176210817065e-122 9.531370864495248e-278)(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
60-0-(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
00-0-(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))
00-0-(*.f64 y.re y.re)
00-0-(*.f64 x.re y.re)
00-0-(*.f64 y.im y.im)
00-0-x.re
00-0-y.re
00-0-y.im
00-0-(*.f64 x.im y.im)
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))o/o480
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))overflow60
(*.f64 x.im y.im)overflow35
(*.f64 x.re y.re)overflow33
(*.f64 y.re y.re)overflow56
(*.f64 y.im y.im)overflow66
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))overflow107
/.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/o320
(*.f64 y.re y.re)overflow56
(*.f64 y.im y.im)overflow66
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))overflow107
/.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/n120
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))overflow60
(*.f64 x.im y.im)overflow35
(*.f64 x.re y.re)overflow33
+.f64(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))nan-rescue60
(*.f64 x.re y.re)overflow33
(*.f64 x.im y.im)overflow35
/.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/n30
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))underflow4
(*.f64 x.im y.im)underflow24
(*.f64 x.re y.re)underflow37
/.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)underflow55
(*.f64 y.im y.im)underflow57
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))underflow8
/.f64(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))u/u10
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))underflow4
(*.f64 x.im y.im)underflow24
(*.f64 x.re y.re)underflow37
(*.f64 y.re y.re)underflow55
(*.f64 y.im y.im)underflow57
(+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))underflow8
Confusion
Predicted +Predicted -
+992
-0155
Precision
1.0
Recall
0.9801980198019802
Confusion?
Predicted +Predicted MaybePredicted -
+9902
-00155
Precision?
1.0
Recall?
0.9801980198019802
Freqs
test
numberfreq
0157
193
26
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms512×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 37.0ms (79.2% of total)
ival-add: 6.0ms (12.8% of total)
ival-div: 3.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(/.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)

simplify11.0ms (0.1%)

Memory
-32.5MiB live, 4.9MiB allocated
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)

localize32.0ms (0.3%)

Memory
5.2MiB live, 42.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.re y.re)
accuracy100.0%
(*.f64 x.im y.im)
accuracy98.0%
(+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
accuracy62.8%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Samples
22.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.2% of total)
ival-div: 2.0ms (18.6% of total)
ival-add: 2.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory
2.8MiB live, 39.7MiB allocated
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 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<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 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 #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
4.0ms
y.re
@-inf
(+ (* x.re y.re) (* x.im y.im))
3.0ms
y.re
@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)))
1.0ms
y.im
@0
(* x.im y.im)

rewrite256.0ms (2%)

Memory
11.2MiB live, 287.5MiB allocated
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))

simplify190.0ms (1.5%)

Memory
-8.1MiB live, 211.1MiB allocated
Algorithm
egg-herbie
Rules
495×distribute-lft-neg-in
443×distribute-rgt-neg-in
409×fmm-def
244×*-commutative
244×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057112149
1148511491
2478311395
Stop Event
node limit
Counts
277 → 294
Calls
Call 1
Inputs
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(+.f64 (/.f64 (*.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 (*.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 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 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 #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 #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.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 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 y.re (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(/.f64 (+.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 (-.f64 (+.f64 x.re (+.f64 (/.f64 (*.f64 x.im y.im) y.re) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 #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 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) y.re) (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) y.re)) (*.f64 #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(+.f64 (/.f64 (*.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 (*.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 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 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 #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) (*.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 (/.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 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 5 binary64))) (/.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))
(/.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)
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(-.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))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(fma.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.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.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
(*.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 y.im x.im) (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))
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eval36.0ms (0.3%)

Memory
-12.2MiB live, 64.7MiB allocated
Compiler

Compiled 6 322 to 1 188 computations (81.2% saved)

prune52.0ms (0.4%)

Memory
21.0MiB live, 98.4MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New28014294
Fresh000
Picked011
Done000
Total28015295
Accuracy
99.7%
Counts
295 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(/.f64 (fma.f64 (*.f64 y.im (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
40.2%
(/.f64 (+.f64 (*.f64 x.re y.re) (pow.f64 (sqrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
62.4%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
43.5%
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
49.1%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
51.4%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
54.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
56.3%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
55.7%
(/.f64 (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
52.5%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.6%
(+.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))
38.5%
(+.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))
75.3%
(*.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)))
59.8%
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
54.3%
(*.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 (*.f64 y.im x.im) (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.re))))
Compiler

Compiled 583 to 343 computations (41.2% saved)

simplify122.0ms (1%)

Memory
-0.1MiB live, 42.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))
cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64))))
cost-diff320
(+.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))
cost-diff6592
(*.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)))))
cost-diff0
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))
cost-diff0
(*.f64 y.im x.im)
cost-diff128
(-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re)))
cost-diff128
(/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)
cost-diff-6272
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
cost-diff-6272
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
cost-diff0
(*.f64 x.im y.im)
cost-diff0
(/.f64 (*.f64 x.im y.im) y.re)
cost-diff-6272
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
cost-diff-6272
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
cost-diff0
(/.f64 y.re y.im)
cost-diff0
(*.f64 x.re (/.f64 y.re y.im))
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
666×fma-define
578×div-sub
414×unsub-neg
365×cancel-sign-sub-inv
324×fmm-def
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0461104
11061076
22501052
37771037
420241025
535681025
650811025
774771025
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
(fma.f64 x.re y.re (*.f64 x.im y.im))
x.re
(*.f64 x.im y.im)
x.im
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
x.im
(*.f64 x.re (/.f64 y.re y.im))
x.re
(/.f64 y.re y.im)
y.re
y.im
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
x.re
(/.f64 (*.f64 x.im y.im) y.re)
(*.f64 x.im y.im)
x.im
y.im
y.re
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re))
x.re
(/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)
(-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re)))
(*.f64 y.im x.im)
y.im
x.im
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.re y.re)
y.re
(+.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 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)))))
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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))
(*.f64 x.im y.re)
x.im
(pow.f64 y.im #s(literal 3 binary64))
y.im
#s(literal 3 binary64)
(/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))
x.re
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.im y.im)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (fma.f64 y.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 (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 (+.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 x.re (/.f64 y.re y.im)))
(fma.f64 x.re (/.f64 y.re y.im) x.im)
(fma.f64 y.re (/.f64 x.re y.im) x.im)
x.im
(*.f64 x.re (/.f64 y.re y.im))
(*.f64 y.re (/.f64 x.re y.im))
x.re
(/.f64 y.re y.im)
y.re
y.im
(/.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 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(+.f64 x.re (/.f64 (*.f64 x.im y.im) 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 (*.f64 x.im y.im) y.re)
(*.f64 x.im (/.f64 y.im y.re))
(*.f64 y.im (/.f64 x.im y.re))
(/.f64 (*.f64 y.im x.im) y.re)
(*.f64 x.im y.im)
(*.f64 y.im x.im)
x.im
y.im
y.re
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) y.re)) y.re)
(/.f64 (fma.f64 (/.f64 y.im y.re) (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) x.re) y.re)
(/.f64 (fma.f64 (/.f64 y.im y.re) (fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im) x.re) y.re)
(+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re))
(+.f64 x.re (/.f64 (*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) y.re))
(fma.f64 (/.f64 y.im y.re) (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) x.re)
(fma.f64 (/.f64 y.im y.re) (fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im) x.re)
x.re
(/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)
(/.f64 (*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) y.re)
(*.f64 (/.f64 y.im y.re) (fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im))
(-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re)))
(*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)))
(*.f64 y.im (fma.f64 x.re (/.f64 y.im (neg.f64 y.re)) x.im))
(*.f64 y.im x.im)
y.im
x.im
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))
(*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.re y.re)
y.re
(+.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 y.re (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 x.im (/.f64 y.re (neg.f64 (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 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (/.f64 x.im y.im))
(fma.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (/.f64 x.im y.im))
(fma.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im)) (/.f64 x.im y.im))
(*.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 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 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))))
(*.f64 y.re (fma.f64 x.im (/.f64 y.re (neg.f64 (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))
(*.f64 (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im)))
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))))
(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 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))))
(fma.f64 x.im (/.f64 y.re (neg.f64 (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 y.re (/.f64 x.im (neg.f64 (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64))))
(neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))
(*.f64 (neg.f64 x.im) (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))
(/.f64 (*.f64 y.re x.im) (neg.f64 (pow.f64 y.im #s(literal 3 binary64))))
(*.f64 y.re (/.f64 x.im (neg.f64 (pow.f64 y.im #s(literal 3 binary64)))))
#s(literal -1 binary64)
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))
(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))
(*.f64 y.re (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))
(*.f64 x.im y.re)
(*.f64 y.re x.im)
x.im
(pow.f64 y.im #s(literal 3 binary64))
y.im
#s(literal 3 binary64)
(/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))
x.re
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.im y.im)

localize209.0ms (1.6%)

Memory
-7.6MiB live, 225.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy93.4%
(+.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))))
accuracy90.9%
(+.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))
accuracy85.5%
(/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))
accuracy83.7%
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))
accuracy98.8%
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
accuracy96.8%
(-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re)))
accuracy94.9%
(/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)
accuracy82.0%
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))
accuracy100.0%
(*.f64 x.im y.im)
accuracy100.0%
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
accuracy98.8%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
accuracy93.6%
(/.f64 (*.f64 x.im y.im) y.re)
accuracy100.0%
(/.f64 y.re y.im)
accuracy100.0%
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
accuracy99.5%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
accuracy93.5%
(*.f64 x.re (/.f64 y.re y.im))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
accuracy98.4%
(fma.f64 x.re y.re (*.f64 x.im y.im))
accuracy76.2%
(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
Samples
80.0ms256×0valid
Compiler

Compiled 276 to 41 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 19.0ms (32.6% of total)
ival-mult: 16.0ms (27.5% of total)
ival-hypot: 9.0ms (15.4% of total)
ival-add: 6.0ms (10.3% of total)
ival-pow: 4.0ms (6.9% of total)
ival-pow2: 2.0ms (3.4% of total)
ival-sub: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series233.0ms (1.8%)

Memory
22.1MiB live, 296.2MiB allocated
Counts
23 → 725
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.re (/.f64 y.re y.im))>
#<alt (/.f64 y.re y.im)>
#<alt (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)>
#<alt (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))>
#<alt (/.f64 (*.f64 x.im y.im) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)>
#<alt (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re)))>
#<alt (*.f64 y.im x.im)>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))>
#<alt (*.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)))))>
#<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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))>
#<alt (fma.f64 x.re y.re (*.f64 x.im y.im))>
#<alt (/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)>
#<alt (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (+.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))))>
Outputs
#<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 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 y.re (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<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 (-.f64 (+.f64 x.re (+.f64 (/.f64 (*.f64 x.im y.im) y.re) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 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 #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 #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 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) y.re) (*.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 (*.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 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 5 binary64))) (/.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))>
#<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 (-.f64 (+.f64 x.im (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 (*.f64 x.re y.re) y.im))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64))))) 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 #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 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) y.im) (*.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 (*.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 (*.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 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 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 #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 #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 (*.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 (*.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 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 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 #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 #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 #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 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (*.f64 x.im (pow.f64 y.im #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 (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.re)) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.re)) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.re)) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.re)) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64))))))>
Calls

231 calls:

TimeVariablePointExpression
42.0ms
x.im
@-inf
(+ x.re (/ (* x.im y.im) y.re))
25.0ms
x.im
@0
(/ (+ x.re (/ (- (* y.im x.im) (* (pow y.im 2) (/ x.re y.re))) y.re)) y.re)
7.0ms
x.im
@0
(/ (* x.im y.im) y.re)
6.0ms
x.im
@-inf
(/ (+ x.im (* x.re (/ y.re y.im))) y.im)
4.0ms
y.re
@0
(* y.re (+ (* -1 (/ (* x.im y.re) (pow y.im 3))) (/ x.re (pow y.im 2))))

rewrite437.0ms (3.4%)

Memory
-5.4MiB live, 234.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
389×log1p-expm1-u
389×expm1-log1p-u
380×add-cube-cbrt
377×add-exp-log
377×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046854
1861820
Stop Event
node limit
Counts
23 → 456
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.re (/.f64 y.re y.im))
(/.f64 y.re y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
(/.f64 (*.f64 x.im y.im) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
(/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)
(-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re)))
(*.f64 y.im x.im)
(*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))
(*.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 (*.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 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64))))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))
(+.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))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re y.re (*.f64 y.im x.im))) (hypot.f64 y.re y.im))
(pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(pow.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(log.f64 (exp.f64 (hypot.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y.re y.im))))
(cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (hypot.f64 y.re y.im)))
(exp.f64 (log.f64 (hypot.f64 y.re y.im)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(*.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
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(*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))
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(*.f64 (sqrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))))
(pow.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) x.re) #s(literal -1 binary64))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 y.im #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 1 binary64)))
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(*.f64 #s(literal 1 binary64) (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))
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(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))
(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))))
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(fma.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re x.im))) y.im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re x.im))) y.im) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (*.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))))

simplify982.0ms (7.7%)

Memory
-11.6MiB live, 983.7MiB allocated
Algorithm
egg-herbie
Rules
477×*-commutative
461×times-frac
292×+-commutative
241×mul-1-neg
226×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0178064731
1498063421
Stop Event
node limit
Counts
1 181 → 1 032
Calls
Call 1
Inputs
(+.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 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 y.re (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(/.f64 (+.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)
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(*.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 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) y.re) (*.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))
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(cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))) (sqrt.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (*.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 (+.f64 (pow.f64 (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.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)))))))
(pow.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))))
(exp.f64 (log.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.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))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))
(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))))
(fma.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re x.im))) y.im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re x.im))) y.im) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (*.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))))
Outputs
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))
(fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(+.f64 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (-.f64 (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 (*.f64 y.re (+.f64 (*.f64 y.re (-.f64 (*.f64 y.re (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))
(fma.f64 y.re (fma.f64 y.re (fma.f64 y.re (-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (neg.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 (+.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 (*.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 (-.f64 (/.f64 (*.f64 x.im y.im) y.re) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.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 (*.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 (-.f64 (/.f64 (*.f64 x.im y.im) y.re) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (-.f64 (+.f64 x.re (+.f64 (/.f64 (*.f64 x.im y.im) y.re) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (-.f64 (+.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (*.f64 x.re (/.f64 (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.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) y.re)
(/.f64 (-.f64 (+.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (*.f64 x.re (/.f64 (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 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) 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 (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re))) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (*.f64 x.im y.im)) y.re))) y.re))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re))) y.re))) 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 (neg.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))) 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 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) y.re) (*.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 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 4 binary64)) y.re)) (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re) (*.f64 x.im y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.re) (/.f64 (-.f64 (*.f64 x.im y.im) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 4 binary64)) y.re)) (*.f64 x.im (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))) 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)))))
(+.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 (neg.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 x.im (neg.f64 (/.f64 y.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.re y.re))
(+.f64 (*.f64 y.im (+.f64 (*.f64 y.im (-.f64 (*.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 5 binary64))) (/.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 (fma.f64 y.im (-.f64 (/.f64 (*.f64 y.im x.re) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (neg.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 (+.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)
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(fma.f64 x.re (pow.f64 y.im #s(literal -2 binary64)) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))
(-.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)))))
(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))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 (neg.f64 y.re) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))))
(fma.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))) #s(literal -1 binary64) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 (neg.f64 y.re) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))))
(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))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))
(-.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)))))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re x.im))) y.im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re x.im))) y.im) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 (neg.f64 y.re) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))))
(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))))
(fma.f64 (sqrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64)))) (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))))
(-.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)))))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (*.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))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 (neg.f64 y.re) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 y.im #s(literal -2 binary64))))
(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))))

eval160.0ms (1.3%)

Memory
37.9MiB live, 337.3MiB allocated
Compiler

Compiled 28 509 to 4 532 computations (84.1% saved)

prune268.0ms (2.1%)

Memory
-29.3MiB live, 381.3MiB allocated
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1 126161 142
Fresh459
Picked325
Done011
Total1 133241 157
Accuracy
99.8%
Counts
1 157 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(/.f64 (fma.f64 (*.f64 y.im (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.9%
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
62.4%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.3%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) y.re)) y.re)
49.1%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
51.4%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
54.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
52.0%
(/.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 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
54.4%
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
56.3%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
49.1%
(/.f64 (+.f64 x.im (expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.re y.im))))) y.im)
49.0%
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
42.7%
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
55.7%
(/.f64 (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
45.9%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re))) y.re)
45.6%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
52.5%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
66.9%
(+.f64 (*.f64 x.im (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
51.3%
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
74.4%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
34.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.re y.im) x.im))
75.3%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
31.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 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)))))
35.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
Compiler

Compiled 837 to 499 computations (40.4% saved)

simplify143.0ms (1.1%)

Memory
31.0MiB live, 69.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
cost-diff192
(*.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)))
cost-diff0
(/.f64 #s(literal 1 binary64) y.re)
cost-diff0
(/.f64 y.im y.re)
cost-diff0
(fma.f64 x.im (/.f64 y.im y.re) x.re)
cost-diff128
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
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-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 y.im x.im)
cost-diff0
(*.f64 x.re y.re)
cost-diff0
(hypot.f64 y.re y.im)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
Rules
1 073×fma-define
650×distribute-lft-in
622×times-frac
598×associate-/r/
508×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0431101
11131053
22891053
3909984
42610968
54404968
65280968
76120968
86479968
96966968
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
(+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))
(*.f64 x.re y.re)
x.re
(*.f64 y.im x.im)
x.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 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
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
x.im
(/.f64 y.im y.re)
y.im
y.re
x.re
(/.f64 #s(literal 1 binary64) y.re)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))))
(/.f64 #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 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))))
x.im
(*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 x.im y.re)
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.re y.im)
x.re
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.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)) (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (fma.f64 y.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 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.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))
(+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(*.f64 x.re y.re)
(*.f64 y.re x.re)
x.re
(*.f64 y.im x.im)
x.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 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))) y.re)
(*.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) x.re) #s(literal 1 binary64)) (/.f64 x.re y.re))
(*.f64 (fma.f64 y.im (/.f64 x.im (*.f64 y.re x.re)) #s(literal 1 binary64)) (/.f64 x.re y.re))
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(*.f64 x.re (+.f64 #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 x.im x.re) (/.f64 y.im y.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im y.re) x.re) #s(literal 1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 x.im (*.f64 y.re x.re)) #s(literal 1 binary64)))
(fma.f64 y.im (/.f64 x.im y.re) x.re)
(fma.f64 x.im (/.f64 y.im y.re) x.re)
x.re
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))
(fma.f64 x.im (/.f64 (/.f64 y.im y.re) x.re) #s(literal 1 binary64))
(fma.f64 y.im (/.f64 x.im (*.f64 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 x.im x.re) (/.f64 y.im y.re))
(*.f64 y.im (/.f64 x.im (*.f64 y.re x.re)))
(/.f64 (*.f64 y.im x.im) (*.f64 y.re x.re))
(*.f64 x.im y.im)
(*.f64 y.im x.im)
x.im
y.im
(*.f64 x.re y.re)
(*.f64 y.re x.re)
y.re
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))) y.re)
(*.f64 (fma.f64 x.im (/.f64 (/.f64 y.im y.re) x.re) #s(literal 1 binary64)) (/.f64 x.re y.re))
(*.f64 (fma.f64 y.im (/.f64 x.im (*.f64 y.re x.re)) #s(literal 1 binary64)) (/.f64 x.re y.re))
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im y.re) x.re) #s(literal 1 binary64)))
(*.f64 x.re (fma.f64 y.im (/.f64 x.im (*.f64 y.re x.re)) #s(literal 1 binary64)))
(fma.f64 y.im (/.f64 x.im y.re) x.re)
x.im
(/.f64 y.im y.re)
y.im
y.re
x.re
(/.f64 #s(literal 1 binary64) y.re)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)))))
(/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.re (fma.f64 (*.f64 x.im #s(literal -1/2 binary64)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 y.re (fma.f64 x.im (*.f64 y.re (/.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 (/.f64 y.re y.im) (fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (/.f64 x.im y.im)) x.re) x.im) (hypot.f64 y.re y.im))
(/.f64 (fma.f64 (/.f64 y.re y.im) (fma.f64 y.re (/.f64 (*.f64 x.im #s(literal -1/2 binary64)) y.im) x.re) x.im) (hypot.f64 y.re y.im))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(+.f64 x.im (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))))
(fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)) x.im)
(fma.f64 y.re (fma.f64 (*.f64 x.im #s(literal -1/2 binary64)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)) x.im)
(fma.f64 y.re (fma.f64 x.im (*.f64 y.re (/.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im)
(fma.f64 (/.f64 y.re y.im) (fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (/.f64 x.im y.im)) x.re) x.im)
(fma.f64 (/.f64 y.re y.im) (fma.f64 y.re (/.f64 (*.f64 x.im #s(literal -1/2 binary64)) y.im) x.re) x.im)
x.im
(*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))
(*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)))
(*.f64 y.re (fma.f64 (*.f64 x.im #s(literal -1/2 binary64)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)))
(*.f64 (/.f64 y.re y.im) (+.f64 x.re (/.f64 (*.f64 y.re (*.f64 x.im #s(literal -1/2 binary64))) y.im)))
(*.f64 (/.f64 y.re y.im) (fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (/.f64 x.im y.im)) x.re))
(*.f64 (/.f64 y.re y.im) (fma.f64 y.re (/.f64 (*.f64 x.im #s(literal -1/2 binary64)) y.im) x.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))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(fma.f64 (*.f64 x.im #s(literal -1/2 binary64)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(fma.f64 x.im (*.f64 y.re (/.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 y.re (*.f64 x.im (/.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 y.re (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 (*.f64 y.re x.im) (/.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 y.re (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 x.im y.re)
(*.f64 y.re x.im)
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.re y.im)
x.re

localize320.0ms (2.5%)

Memory
-10.9MiB live, 181.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.0%
(+.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))
accuracy94.9%
(*.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)))
accuracy93.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 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)))))
accuracy81.8%
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
accuracy100.0%
(/.f64 y.im y.re)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y.re)
accuracy98.7%
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
accuracy94.7%
(fma.f64 x.im (/.f64 y.im y.re) x.re)
accuracy100.0%
(*.f64 x.im y.im)
accuracy98.8%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
accuracy91.5%
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))
accuracy88.2%
(/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
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)
accuracy90.9%
(/.f64 (*.f64 x.re y.re) y.im)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
accuracy98.0%
(+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))
accuracy76.2%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
Samples
225.0ms256×0valid
Compiler

Compiled 270 to 38 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 18.0ms (35.9% of total)
ival-div: 16.0ms (31.9% of total)
ival-add: 6.0ms (12% of total)
ival-hypot: 5.0ms (10% of total)
ival-pow2: 4.0ms (8% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series342.0ms (2.7%)

Memory
-22.5MiB live, 144.8MiB allocated
Counts
18 → 532
Calls
Call 1
Inputs
#<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 (*.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 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (fma.f64 x.im (/.f64 y.im y.re) x.re)>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im))>
#<alt (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 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)))))>
#<alt (+.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))>
Outputs
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (/.f64 x.im (*.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.im))) (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.im))) (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.im))) (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im (*.f64 x.re y.im))) (*.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 y.re (+.f64 (/.f64 x.im (*.f64 y.im y.re)) (/.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 #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 #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 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<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 #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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.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))))>
#<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 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 x.re (+.f64 (/.f64 x.im x.re) (/.f64 y.re y.im)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
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#<alt (*.f64 x.re (+.f64 (*.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (*.f64 (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 x.im (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 x.im y.im))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 x.im y.im))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 x.im y.im))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 x.im y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 x.im y.im))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 y.im #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.im))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 y.im #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.im))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 y.im #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.im))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (*.f64 y.im y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.im (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.re (*.f64 y.im y.re))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.im (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.re (*.f64 y.im y.re))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.im (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.re (*.f64 y.im y.re))) (*.f64 #s(literal 1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x.im y.re)) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x.im y.re)) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x.im y.re)) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x.im y.re)) (*.f64 x.re y.im)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im)>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im)>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im)>
#<alt (/.f64 (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.im))))>
Calls

192 calls:

TimeVariablePointExpression
7.0ms
y.im
@inf
(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ x.im (* y.re (+ (* -1/2 (/ (* x.im y.re) (pow y.im 2))) (/ x.re y.im)))))
6.0ms
x.re
@-inf
(* y.re (+ (* -1/2 (/ (* x.im y.re) (pow y.im 2))) (/ x.re y.im)))
5.0ms
x.im
@-inf
(/ (* x.re (+ 1 (/ (* x.im y.im) (* x.re y.re)))) y.re)
2.0ms
y.re
@0
(* y.re (+ (* -1/2 (/ (* x.im y.re) (pow y.im 2))) (/ x.re y.im)))
1.0ms
x.re
@0
(* y.re (+ (* -1/2 (/ (* x.im y.re) (pow y.im 2))) (/ x.re y.im)))

rewrite149.0ms (1.2%)

Memory
25.0MiB live, 141.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
361×log1p-expm1-u
361×expm1-log1p-u
356×add-cube-cbrt
354×add-exp-log
354×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043697
1800665
Stop Event
node limit
Counts
18 → 350
Calls
Call 1
Inputs
(/.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 (*.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 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(/.f64 y.im y.re)
(/.f64 #s(literal 1 binary64) y.re)
(*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
(+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))))
(+.f64 (*.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))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (/.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 x.re (/.f64 y.re y.im))
(*.f64 (*.f64 x.re y.re) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 #s(literal 1 binary64) (*.f64 x.re (/.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (/.f64 y.re y.im))))
(*.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.re y.im))) (sqrt.f64 (*.f64 x.re (/.f64 y.re y.im))))
(pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im (*.f64 x.re y.re)) #s(literal -1 binary64))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (/.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (*.f64 x.re (/.f64 y.re y.im))))
(exp.f64 (log.f64 (*.f64 x.re (/.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (/.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 #s(literal 1 binary64) y.im))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) (sqrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64))) (-.f64 x.im (*.f64 x.re (/.f64 y.re y.im))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 x.im x.im (-.f64 (pow.f64 (*.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re (/.f64 y.re y.im))))))
(pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)))))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) #s(literal 2 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.im) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 x.re y.im))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.im)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 (sqrt.f64 (/.f64 x.re y.im)) (sqrt.f64 (/.f64 x.re y.im)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im))) y.im) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im))) y.im) (/.f64 x.re y.im))

simplify598.0ms (4.7%)

Memory
1.5MiB live, 590.7MiB allocated
Algorithm
egg-herbie
Rules
514×distribute-rgt-in
514×distribute-lft-in
401×*-commutative
360×times-frac
240×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0142348104
1402846744
Stop Event
node limit
Counts
882 → 745
Calls
Call 1
Inputs
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(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
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(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 x.re (*.f64 (*.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)) x.re))
(+.f64 (*.f64 x.re #s(literal 1 binary64)) (*.f64 x.re (*.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x.re) (fma.f64 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im 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 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 y.im 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 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (fma.f64 (/.f64 x.im x.re) (/.f64 y.im y.re) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re #s(literal 1 binary64) (*.f64 x.re (*.f64 (/.f64 x.im x.re) (/.f64 y.im y.re))))
(fma.f64 #s(literal 1 binary64) x.re (*.f64 (*.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)) x.re))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) (*.f64 (*.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)) x.re))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (*.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)) x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 (*.f64 y.re x.im) (pow.f64 y.im #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y.re x.im)) y.im) (/.f64 (sqrt.f64 (*.f64 y.re x.im)) y.im))
(pow.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.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 (*.f64 y.re x.im)) y.im) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (*.f64 y.re x.im)) #s(literal -1 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) y.re) (pow.f64 y.im #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))))
(+.f64 (*.f64 x.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (*.f64 (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))
(pow.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(log.f64 (exp.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) x.im) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(fma.f64 x.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x.re y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x.re y.im) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im)))))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.im) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 x.re y.im))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.im)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 (sqrt.f64 (/.f64 x.re y.im)) (sqrt.f64 (/.f64 x.re y.im)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im))) y.im) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im))) y.im) (/.f64 x.re y.im))
Outputs
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 x.re y.re) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (/.f64 #s(literal 1 binary64) y.im) (*.f64 (/.f64 x.re x.im) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))
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(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.im) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 x.re (/.f64 #s(literal 1 binary64) y.im) (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 #s(literal 1 binary64) (/.f64 x.re y.im) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 x.re y.im))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re y.im)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 x.re y.im))
(fma.f64 (sqrt.f64 (/.f64 x.re y.im)) (sqrt.f64 (/.f64 x.re y.im)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im)) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im))) y.im) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re x.im))) y.im) (/.f64 x.re y.im))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x.im) y.re)) y.im) #s(literal 2 binary64)) (/.f64 x.re y.im))

eval231.0ms (1.8%)

Memory
56.2MiB live, 423.4MiB allocated
Compiler

Compiled 35 117 to 4 601 computations (86.9% saved)

prune350.0ms (2.8%)

Memory
-9.5MiB live, 597.8MiB allocated
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New1 22961 235
Fresh61016
Picked235
Done033
Total1 237221 259
Accuracy
99.9%
Counts
1 259 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(/.f64 (fma.f64 (*.f64 y.im (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.9%
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
62.4%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.3%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) y.re)) y.re)
49.1%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
47.1%
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
51.4%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
54.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
57.2%
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)
52.0%
(/.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 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
54.4%
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
56.3%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
42.7%
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
45.9%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re))) y.re)
45.6%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
52.5%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
63.9%
(+.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
74.3%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
75.3%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
33.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (*.f64 y.re (/.f64 (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re y.im)))) y.im))))
35.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
49.1%
(*.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 736 to 438 computations (40.5% saved)

simplify92.0ms (0.7%)

Memory
-1.8MiB live, 39.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))
cost-diff576
(+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
cost-diff576
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
cost-diff6656
(-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))
cost-diff0
(*.f64 x.re (/.f64 y.re y.im))
cost-diff192
(+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
cost-diff192
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
cost-diff6464
(-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))
cost-diff-6272
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)
cost-diff-6272
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
cost-diff0
(*.f64 x.re y.re)
cost-diff0
(*.f64 x.im y.im)
cost-diff-6272
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
cost-diff-6272
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
cost-diff0
(/.f64 y.im y.re)
cost-diff0
(*.f64 x.im (/.f64 y.im y.re))
cost-diff0
(cbrt.f64 (hypot.f64 y.re y.im))
cost-diff448
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
cost-diff12864
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
cost-diff12864
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
Rules
849×fmm-def
516×times-frac
496×fma-define
380×sub-neg
362×div-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0471267
11171253
22901224
311051198
436091150
572321150
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
(cbrt.f64 (hypot.f64 y.re y.im))
(hypot.f64 y.re y.im)
y.re
y.im
#s(literal 3 binary64)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
(+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))
(*.f64 x.re y.re)
x.re
(*.f64 y.im x.im)
x.im
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
x.re
(*.f64 x.im (/.f64 y.im y.re))
x.im
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)
(+.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)
x.re
y.re
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
(+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
x.im
(-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.re y.im))
x.re
(/.f64 y.re y.im)
y.re
y.im
(*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
(+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
x.re
(-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))
(-.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.im (/.f64 y.im y.re))
x.im
(/.f64 y.im y.re)
y.im
y.re
(*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))
(pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
(pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.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)) (*.f64 (hypot.f64 y.re y.im) (hypot.f64 y.re y.im)))
(/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 6 binary64)))
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
(hypot.f64 y.re y.im)
(cbrt.f64 (hypot.f64 y.re y.im))
(hypot.f64 y.re y.im)
y.re
y.im
#s(literal 3 binary64)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.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))
(/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.re y.im))
(+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 y.im x.im (*.f64 y.re x.re))
(*.f64 x.re y.re)
(*.f64 y.re x.re)
x.re
(*.f64 y.im x.im)
x.im
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(fma.f64 x.im (/.f64 y.im y.re) x.re)
(fma.f64 y.im (/.f64 x.im y.re) x.re)
x.re
(*.f64 x.im (/.f64 y.im y.re))
(*.f64 y.im (/.f64 x.im y.re))
x.im
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
(/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) y.im) y.im)
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (*.f64 y.im y.im))
(/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (*.f64 y.im y.im))
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)
(/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) y.im)
(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) y.im)
(/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) y.im)
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 y.im x.im (*.f64 y.re x.re))
(*.f64 x.im y.im)
(*.f64 y.im x.im)
x.im
y.im
(*.f64 x.re y.re)
(*.f64 y.re x.re)
x.re
y.re
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) y.im)
(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))) y.im)
(/.f64 (fma.f64 (/.f64 y.re y.im) (fma.f64 (/.f64 y.re y.im) (neg.f64 x.im) x.re) x.im) y.im)
(/.f64 (fma.f64 (/.f64 y.re y.im) (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) x.im) y.im)
(+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))
(+.f64 x.im (*.f64 (/.f64 y.re y.im) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))
(fma.f64 (/.f64 y.re y.im) (fma.f64 (/.f64 y.re y.im) (neg.f64 x.im) x.re) x.im)
(fma.f64 (/.f64 y.re y.im) (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) x.im)
x.im
(-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (*.f64 y.re (/.f64 x.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 y.re y.im) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))
(*.f64 (/.f64 y.re y.im) (fma.f64 (/.f64 y.re y.im) (neg.f64 x.im) x.re))
(*.f64 (/.f64 y.re y.im) (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))))
(*.f64 x.re (/.f64 y.re y.im))
(*.f64 y.re (/.f64 x.re y.im))
(/.f64 (*.f64 y.re x.re) y.im)
x.re
(/.f64 y.re y.im)
y.re
y.im
(*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 x.re (-.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
(/.f64 (+.f64 x.re (fma.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)) (neg.f64 x.re)))) y.re)
(/.f64 (-.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)) (fma.f64 y.im (/.f64 x.im y.re) x.re))) y.re)
(/.f64 (+.f64 x.re (*.f64 (/.f64 y.im y.re) (-.f64 x.im (*.f64 (/.f64 y.im y.re) (fma.f64 x.im (/.f64 y.im y.re) x.re))))) y.re)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))) (fma.f64 y.im (/.f64 x.im y.re) x.re)) y.re)
(+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 x.re (-.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 x.re (fma.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)) (neg.f64 x.re))))
(-.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)) (fma.f64 y.im (/.f64 x.im y.re) x.re)))
(+.f64 x.re (*.f64 (/.f64 y.im y.re) (-.f64 x.im (*.f64 (/.f64 y.im y.re) (fma.f64 x.im (/.f64 y.im y.re) x.re)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))) (fma.f64 y.im (/.f64 x.im y.re) x.re))
x.re
(-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))
(fma.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)) (neg.f64 x.re)))
(-.f64 (*.f64 y.im (/.f64 x.im y.re)) (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)) (fma.f64 y.im (/.f64 x.im y.re) x.re)))
(*.f64 (/.f64 y.im y.re) (-.f64 x.im (*.f64 (/.f64 y.im y.re) (fma.f64 x.im (/.f64 y.im y.re) x.re))))
(*.f64 (/.f64 y.im y.re) (-.f64 x.im (*.f64 (/.f64 y.im y.re) (fma.f64 y.im (/.f64 x.im y.re) x.re))))
(*.f64 (/.f64 y.im y.re) (-.f64 x.im (*.f64 y.im (/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re))))
(-.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.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))
(*.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 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))
(pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
(pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))
#s(literal 2 binary64)

localize238.0ms (1.9%)

Memory
-19.8MiB live, 237.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy91.9%
(*.f64 x.im (/.f64 y.im y.re))
accuracy91.1%
(*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
accuracy87.1%
(-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))
accuracy85.9%
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))
accuracy98.8%
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
accuracy96.0%
(-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))
accuracy93.5%
(*.f64 x.re (/.f64 y.re y.im))
accuracy90.6%
(*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x.im y.im)
accuracy99.5%
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
accuracy98.0%
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
accuracy84.2%
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)
accuracy100.0%
(/.f64 y.im y.re)
accuracy100.0%
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
accuracy98.8%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
accuracy91.9%
(*.f64 x.im (/.f64 y.im y.re))
accuracy99.1%
(cbrt.f64 (hypot.f64 y.re y.im))
accuracy98.8%
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
accuracy98.0%
(+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im))
accuracy76.2%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im))
Samples
106.0ms256×0valid
Compiler

Compiled 328 to 41 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-div: 39.0ms (47.1% of total)
ival-mult: 17.0ms (20.5% of total)
ival-add: 6.0ms (7.2% of total)
ival-pow: 6.0ms (7.2% of total)
ival-hypot: 5.0ms (6% of total)
ival-pow2: 5.0ms (6% of total)
ival-sub: 3.0ms (3.6% of total)
ival-cbrt: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series135.0ms (1.1%)

Memory
15.5MiB live, 248.7MiB allocated
Counts
19 → 772
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))>
#<alt (cbrt.f64 (hypot.f64 y.re y.im))>
#<alt (*.f64 x.im (/.f64 y.im y.re))>
#<alt (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)>
#<alt (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))>
#<alt (/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)>
#<alt (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)>
#<alt (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)>
#<alt (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))>
#<alt (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)>
#<alt (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))>
#<alt (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))>
#<alt (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))>
#<alt (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))>
Outputs
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 35/128 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 9 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 7 binary64)))))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)>
#<alt (/.f64 (+.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 binary64) (pow.f64 y.im #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.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)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.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 8 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)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.im)) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.im)) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.im)) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im y.im)) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))>
#<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 (+.f64 y.im (/.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 #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 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 y.im (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) y.im)))))>
#<alt (*.f64 #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 (+.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 (+.f64 y.re (/.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 #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 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 y.re (+.f64 x.re (/.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 #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 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))>
Calls

198 calls:

TimeVariablePointExpression
8.0ms
y.im
@0
(cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms
y.im
@-inf
(- (* x.im (/ y.im y.re)) (* x.im (pow (/ y.im y.re) 3)))
3.0ms
y.re
@inf
(pow (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3)
3.0ms
y.re
@0
(/ (/ (+ (* x.im y.im) (* x.re y.re)) y.im) y.im)
3.0ms
x.re
@0
(/ (+ x.re (- (- (* x.im (/ y.im y.re)) (* x.im (pow (/ y.im y.re) 3))) (* x.re (pow (/ y.im y.re) 2)))) y.re)

rewrite416.0ms (3.3%)

Memory
-1.2MiB live, 189.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
395×log1p-expm1-u
395×expm1-log1p-u
387×add-cube-cbrt
381×add-exp-log
381×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047871
1928848
Stop Event
node limit
Counts
19 → 442
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(cbrt.f64 (hypot.f64 y.re y.im))
(*.f64 x.im (/.f64 y.im y.re))
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
(/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im)
(-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
(+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
(+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))
(+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))
(*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal -3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal -3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal -3 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 6 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify910.0ms (7.2%)

Memory
55.7MiB live, 1 214.1MiB allocated
Algorithm
egg-herbie
Rules
569×*-commutative
371×times-frac
362×+-commutative
268×sub-neg
263×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0203383216
1591479583
Stop Event
node limit
Counts
1 214 → 1 093
Calls
Call 1
Inputs
(+.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 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 35/128 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 9 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 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))
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(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))
(*.f64 #s(literal -1 binary64) (/.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 binary64) (pow.f64 y.im #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.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)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.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 8 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))) y.re))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.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 8 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))) y.im)
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(+.f64 (fma.f64 x.im (/.f64 y.im y.re) (neg.f64 (*.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im))) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (/.f64 y.im y.re) x.im (neg.f64 (*.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 y.im y.re) x.im (neg.f64 (*.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im))) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (neg.f64 (*.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (neg.f64 (*.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im))) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (sqrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (neg.f64 (*.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (sqrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (neg.f64 (*.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im))) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) (pow.f64 (*.f64 (/.f64 y.im y.re) (cbrt.f64 x.im)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y.im x.im) y.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 y.im x.im) y.re) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y.im x.im) y.re) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y.im x.im) y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) #s(literal 2 binary64))) (fma.f64 x.im (/.f64 y.im y.re) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(pow.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im x.im) y.re) (neg.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.im x.im) y.re) (*.f64 (neg.f64 x.im) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(fma.f64 x.im (/.f64 y.im y.re) (neg.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(fma.f64 x.im (/.f64 y.im y.re) (*.f64 (neg.f64 x.im) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))
(fma.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(fma.f64 (/.f64 y.im y.re) x.im (neg.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(fma.f64 (/.f64 y.im y.re) x.im (*.f64 (neg.f64 x.im) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (neg.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (*.f64 (neg.f64 x.im) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))) x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (sqrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (neg.f64 (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (sqrt.f64 (/.f64 (*.f64 y.im x.im) y.re)) (*.f64 (neg.f64 x.im) (pow.f64 (/.f64 y.im y.re) #s(literal 3 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 (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.im x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.im x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (*.f64 (*.f64 y.im x.im) (*.f64 y.re x.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 y.im x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (-.f64 (*.f64 y.im x.im) (*.f64 y.re x.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)))
(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))
(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)))
(fma.f64 #s(literal 1 binary64) (*.f64 y.re x.re) (*.f64 y.im x.im))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re))
(fma.f64 y.re x.re (*.f64 y.im x.im))
(fma.f64 y.im x.im (*.f64 y.re x.re))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(fma.f64 x.im y.im (*.f64 y.re x.re))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re x.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re x.re)) (*.f64 y.im x.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im x.im)) (*.f64 y.re x.re))
(fma.f64 (sqrt.f64 (*.f64 y.re x.re)) (sqrt.f64 (*.f64 y.re x.re)) (*.f64 y.im x.im))
(fma.f64 (sqrt.f64 (*.f64 y.im x.im)) (sqrt.f64 (*.f64 y.im x.im)) (*.f64 y.re x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 6 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 6 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
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(*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.im y.re) #s(literal 6 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (/.f64 y.im y.re) #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) #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.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))

eval775.0ms (6.1%)

Memory
-72.2MiB live, 421.6MiB allocated
Compiler

Compiled 39 792 to 6 095 computations (84.7% saved)

prune348.0ms (2.7%)

Memory
-18.2MiB live, 600.2MiB allocated
Pruning

28 alts after pruning (17 fresh and 11 done)

PrunedKeptTotal
New1 39871 405
Fresh11011
Picked055
Done066
Total1 399281 427
Accuracy
99.9%
Counts
1 427 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(/.f64 (fma.f64 (*.f64 y.im (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
44.9%
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) y.im)
39.0%
(/.f64 (/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) y.im) y.im)
47.1%
(/.f64 (-.f64 (+.f64 x.re (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
62.4%
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
46.3%
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) y.re)) y.re)
49.1%
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
47.1%
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
49.5%
(/.f64 (+.f64 x.re (*.f64 y.im (/.f64 x.im y.re))) y.re)
51.2%
(/.f64 (+.f64 x.re (*.f64 x.im (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
51.4%
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
54.3%
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
57.2%
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)
52.0%
(/.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 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
54.4%
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
56.3%
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
45.9%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re))) y.re)
45.6%
(/.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))) y.re)
51.0%
(/.f64 (*.f64 x.im (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re x.re) (*.f64 y.im x.im))) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) y.im)
52.5%
(/.f64 (*.f64 x.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
63.9%
(+.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
74.3%
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -3 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
73.4%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
74.3%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
75.3%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
33.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (*.f64 y.re (/.f64 (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re y.im)))) y.im))))
35.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
49.1%
(*.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) (/.f64 #s(literal 1 binary64) y.re))
Compiler

Compiled 1 257 to 543 computations (56.8% saved)

regimes126.0ms (1%)

Memory
3.9MiB live, 154.1MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
(/.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 y.im (/.f64 x.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re))) y.re)
(/.f64 (/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) y.im) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.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.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(/.f64 (*.f64 x.im (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re x.re) (*.f64 y.im x.im))) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (*.f64 y.re (/.f64 (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re y.im)))) y.im))))
(/.f64 (+.f64 x.im (expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.re y.im))))) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(/.f64 (+.f64 x.re (*.f64 x.im (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(/.f64 (+.f64 (*.f64 x.re y.re) (pow.f64 (sqrt.f64 (*.f64 x.im y.im)) #s(literal 2 binary64))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(+.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.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 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im)))))
(/.f64 (-.f64 (+.f64 x.re (*.f64 x.im (-.f64 (/.f64 y.im y.re) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64))))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
(/.f64 (+.f64 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 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 x.re (-.f64 (-.f64 (*.f64 x.im (/.f64 y.im y.re)) (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (*.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
(*.f64 (/.f64 #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 (fma.f64 (*.f64 y.im (sqrt.f64 x.im)) (sqrt.f64 x.im) (*.f64 x.re y.re)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal -3 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(+.f64 (/.f64 (*.f64 x.im y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
(+.f64 (*.f64 x.im (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(*.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 (*.f64 y.im x.im) (*.f64 (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)))
(*.f64 x.re (fma.f64 x.im (/.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) x.re) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 y.im x.im)) (hypot.f64 y.re y.im)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.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)
Calls

5 calls:

65.0ms
x.im
16.0ms
x.re
15.0ms
y.re
13.0ms
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
13.0ms
y.im
Results
AccuracySegmentsBranch
75.3%1x.re
75.3%1x.im
90.0%5y.re
89.0%5y.im
86.0%2(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes38.0ms (0.3%)

Memory
-6.3MiB live, 71.9MiB allocated
Counts
26 → 5
Calls
Call 1
Inputs
(/.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 y.im (/.f64 x.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re))) y.re)
(/.f64 (/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) y.im) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.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.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(/.f64 (*.f64 x.im (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re x.re) (*.f64 y.im x.im))) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (*.f64 y.re (/.f64 (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re y.im)))) y.im))))
(/.f64 (+.f64 x.im (expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.re y.im))))) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.re y.im) x.im))
(/.f64 (+.f64 x.re (*.f64 x.im (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re)))
Outputs
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.re y.im) x.im))
Calls

3 calls:

18.0ms
y.im
9.0ms
y.re
7.0ms
(/.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
87.6%5y.im
85.0%5y.re
74.1%2(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes9.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
23 → 5
Calls
Call 1
Inputs
(/.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 y.im (/.f64 x.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re))) y.re)
(/.f64 (/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) y.im) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.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.im (+.f64 y.im (*.f64 x.re (/.f64 y.re x.im)))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 x.re (+.f64 y.re (/.f64 (*.f64 x.im y.im) x.re))) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (+.f64 x.im (-.f64 (*.f64 x.re (/.f64 y.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 x.re (/.f64 (-.f64 (*.f64 y.im x.im) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re y.re))) y.re)) y.re)
(/.f64 (*.f64 x.im (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y.re x.re) (*.f64 y.im x.im))) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) y.im)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (*.f64 y.re (/.f64 (+.f64 x.re (*.f64 #s(literal -1/2 binary64) (*.f64 x.im (/.f64 y.re y.im)))) y.im))))
(/.f64 (+.f64 x.im (expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.re y.im))))) y.im)
Outputs
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Calls

1 calls:

7.0ms
y.im
Results
AccuracySegmentsBranch
87.6%5y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes58.0ms (0.5%)

Memory
-23.1MiB live, 21.2MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
(/.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 y.im (/.f64 x.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)
(/.f64 (/.f64 (+.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) y.im) 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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (/.f64 y.im x.re)) y.re))) y.re)
(/.f64 (/.f64 (*.f64 y.re (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))) y.im) y.im)
(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) y.re)) y.re)
Outputs
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)
(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)
Calls

2 calls:

52.0ms
y.re
5.0ms
y.im
Results
AccuracySegmentsBranch
80.6%3y.re
81.8%3y.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(/.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 y.im (/.f64 x.im y.re))) y.re)
(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
(*.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (*.f64 y.im (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.re)
(/.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:

3.0ms
y.im
Results
AccuracySegmentsBranch
80.9%3y.im
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Accuracy

Total -1.9b remaining (-6.7%)

Threshold costs -1.9b (-6.7%)

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

4 calls:

2.0ms
y.im
2.0ms
y.re
2.0ms
x.im
1.0ms
x.re
Results
AccuracySegmentsBranch
56.3%1x.re
56.3%1x.im
56.3%1y.re
56.3%1y.im
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.917191675894685e+234
2.0345205860492268e+271
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch107.0ms (0.8%)

Memory
-9.5MiB live, 108.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.5003306016176702e+113
2.406893684935592e+115
10.0ms
3.802968317589611e-121
5.091462606051124e-120
64.0ms
-1.915556782071984e-65
-2.514007290890687e-72
15.0ms
-1.4670814486327253e+58
-1.2106012876294794e+51
Samples
86.0ms496×0valid
Compiler

Compiled 1 115 to 701 computations (37.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-add: 54.0ms (76.8% of total)
ival-mult: 13.0ms (18.5% of total)
ival-div: 3.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch62.0ms (0.5%)

Memory
-33.3MiB live, 95.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.5003306016176702e+113
2.406893684935592e+115
11.0ms
3.802968317589611e-121
5.091462606051124e-120
14.0ms
-1.915556782071984e-65
-2.514007290890687e-72
18.0ms
-1.4670814486327253e+58
-1.2106012876294794e+51
Samples
37.0ms496×0valid
Compiler

Compiled 1 094 to 687 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 17.0ms (69.9% of total)
ival-add: 4.0ms (16.5% of total)
ival-div: 3.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Memory
34.0MiB live, 34.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.5083410120944974e-27
1.3192374013335632e-23
14.0ms
-1.1203477949171303
-2.4440819347195006e-6
Samples
18.0ms272×0valid
Compiler

Compiled 532 to 358 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (62.3% of total)
ival-div: 2.0ms (17.8% of total)
ival-add: 2.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory
-5.9MiB live, 33.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.5083410120944974e-27
1.3192374013335632e-23
16.0ms
-1.1203477949171303
-2.4440819347195006e-6
Samples
20.0ms272×0valid
Compiler

Compiled 498 to 324 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (67% of total)
ival-div: 2.0ms (14.9% of total)
ival-add: 2.0ms (14.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
egg-herbie
Rules
*-commutative
+-commutative
if-if-or-not
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831083
11091083
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.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 -14500000000000000091241034153206329807794428747683821780992 binary64)) (/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im) (if (<=.f64 y.im #s(literal -2859608609356273/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 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 526958075114315/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.im #s(literal 400000000000000006223766451786737209707280558768424573347908232172333512465902281305994155966018979070482512347136 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.re y.im) x.im))))))
(if (<=.f64 y.im #s(literal -6200000000000000264904576743728587498026488243508123533312 binary64)) (/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im) (if (<=.f64 y.im #s(literal -7149021523390683/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 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 8722064691547283/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.im #s(literal 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -5944751508129055/9007199254740992 binary64)) (/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im) (if (<=.f64 y.im #s(literal 6751202159711419/43556142965880123323311949751266331066368 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)))
(if (<=.f64 y.im #s(literal -6640827866535439/9223372036854775808 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 5580630817503391/680564733841876926926749214863536422912 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)))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
Outputs
(if (<=.f64 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.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 (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) #s(literal 5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (+.f64 (*.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 -14500000000000000091241034153206329807794428747683821780992 binary64)) (/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im) (if (<=.f64 y.im #s(literal -2859608609356273/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 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 526958075114315/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.im #s(literal 400000000000000006223766451786737209707280558768424573347908232172333512465902281305994155966018979070482512347136 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.re y.im) x.im))))))
(if (<=.f64 y.im #s(literal -6200000000000000264904576743728587498026488243508123533312 binary64)) (/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im) (if (<=.f64 y.im #s(literal -7149021523390683/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 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 8722064691547283/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.im #s(literal 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800 binary64)) (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -5944751508129055/9007199254740992 binary64)) (/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im) (if (<=.f64 y.im #s(literal 6751202159711419/43556142965880123323311949751266331066368 binary64)) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im)))
(if (or (<=.f64 y.im #s(literal -5944751508129055/9007199254740992 binary64)) (not (<=.f64 y.im #s(literal 6751202159711419/43556142965880123323311949751266331066368 binary64)))) (/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.im #s(literal -6640827866535439/9223372036854775808 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 5580630817503391/680564733841876926926749214863536422912 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 -6640827866535439/9223372036854775808 binary64)) (not (<=.f64 y.im #s(literal 5580630817503391/680564733841876926926749214863536422912 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))
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)

soundness2.0s (15.9%)

Memory
-14.6MiB live, 1 863.7MiB allocated
Rules
819×log1p-expm1-u
819×expm1-log1p-u
514×distribute-rgt-in
514×distribute-lft-in
503×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057112149
1148511491
2478311395
046854
1861820
018129
1254124
23547124
0178064731
1498063421
0142348104
1402846744
043697
1800665
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 640 to 198 computations (69.1% saved)

preprocess48.0ms (0.4%)

Memory
-13.1MiB live, 105.8MiB allocated
Compiler

Compiled 570 to 166 computations (70.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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